DATA ANAL

The Better Business Bureau (BBB) has received complaints that Del Mar Foods is underfilling its five-pound bags of barley. To test their belief that Del Mar Foods is underfilling its five-pound bags of barley, the BBB randomly selects 98 bags of barley and determines the weight of each bag. The sample average weight of bags is 5.30 pounds (σ = 0.15 pounds). 14. Which of the following is the most accurate in describing the statistical test that you used to test the BBB's hypotheses: a. Left-tailed test b. Right-tailed test c. Two-tailed test d. Both 'a' and 'c'

a. Left-tailed test

Refer to # 10 Historically, 76% of University of Arkansas faculty members purchase a parking pass every year. Donna Jean, the manager of parking facilities, believes that an increase in the price of parking passes will result in a decrease in the proportion of faculty members who will purchase parking passes. To test this idea, Donna Jean randomly sampled 400 U of A faculty members and asked them if they would buy a parking pass following the implementation of a price increase. Results indicate that 296 of the faculty members in her sample would purchase the more expensive parking passes, while 104 would not. 1. Which of the following is the proper set of hypotheses? a. Ho: ≤ .76; H1: > .76 b. Ho: ≥ .76; H1: < .76 c. Ho: = .76; H1: ≠ .76 d. Ho: ≠ .76; H1: = .76

b. Ho: ≥ .76; H1: < .76

Bella Vista, Arkansas is a popular retirement destination for senior citizens. In fact, a recent article in Southern Living Magazine indicates that the average age of people living in Bella Vista is 60, with a standard deviation of 10. 14. What happens to the probability in the question above if you increase the sample size from 25 to 50? a. It increases b. It decreases c. It stays the same d. None of the above

b. It decreases

A tornado recently swept through central Texas, causing millions of dollars of damage. Because of the severity of the storm and the type of residential construction used in this part of the country, there was some concern that the average claim size would be greater than the historical average for storm damage claims ($24,000) in Texas. Several insurance companies collaborated in a study that was aimed at assessing whether claims related to this tornado exceed the historical average. The insurance companies randomly selected 84 homes and sent adjustors to settle the claims. In the sample of 84 homes, the average claim was $27,500 (sample standard deviation = $2,400). 14. What hypothesis are you testing with this data? a. H0: ≥ $24,000; H1: < $27,500 b. H0: μ = $24,000; H1: μ ≠ $24,000 c. H0: μ ≤ $27,500; H1: μ > $27,500 d. H0: μ ≤ $24,000; H1: μ > $24,000

d. H0: μ ≤ $24,000; H1: μ > $24,000

Elon Musk claims that the new Tesla sports utility vehicle (SUV) can accelerate to 60 miles per hour in less than 3.5 seconds. To make this claim in its commercials, Tesla was required to show evidence that the new SUV can accelerate to 60 miles per hour in under 3.5 seconds, on average. Tesla reported that for a sample of 50 speed tests, the mean time to that it took the new SUV to reach 60 miles per hour was 3.3 seconds, with a standard deviation of .60 seconds. 1. Which is the correct hypothesis that Tesla is testing? a. H0: µ ≤ 3.3; HA: µ > 3.3 b. H0: µ ≥ 3.3; HA: µ < 3.3 c. H0: p ≤ 3.5; HA: p < 3.5 d. H0: µ ≥ 3.5; HA: µ < 3.5

d. H0: µ ≥ 3.5; HA: µ < 3.5

A tornado recently swept through central Texas, causing millions of dollars of damage. Because of the severity of the storm and the type of residential construction used in this part of the country, there was some concern that the average claim size would be greater than the historical average for storm damage claims ($24,000) in Texas. Several insurance companies collaborated in a study that was aimed at assessing whether claims related to this tornado exceed the historical average. The insurance companies randomly selected 84 homes and sent adjustors to settle the claims. In the sample of 84 homes, the average claim was $27,500 (sample standard deviation = $2,400). 14. Which of the following best describes the research design of this study? a. Non-experimental research design b. Quasi-experimental research design c. Experimental research design d. Fully randomized quasi-experiment

a. Non-experimental research design

Refer to #5 Denise Rogers, a researcher for the American Association of Realtors believes that housing costs have increased since the beginning of the COVID-19 pandemic in 2020. To test this belief, Denise uses Zillow to look up and record the estimated prices of 50 homes before the start of the pandemic in January of 2020. She then looks up the prices that were estimated for each of these 50 homes in October of 2021 and records this information in the same Excel file. Denise then performs several analyses on the data. Results of these analyses appear below. 1. Which of the following statistics would you useto test your hypotheses? a. t = -3.921 b. t = -0.659 c. F = 1.004 d. t = 1.661

a. t = -3.921

Bella Vista, Arkansas is a popular retirement destination for senior citizens. In fact, a recent article in Southern Living Magazine indicates that the average age of people living in Bella Vista is 60, with a standard deviation of 10. 14. If you randomly sample 25 people from Bella Vista, what is the probability that the mean age of this sample will be less than 56? a. 0.0166 b. 0.0228 c. 0.0394 d. 0.3708

b. 0.0228

The following data represent the ages of 10 employees in the financial planning and analysis department at Starmuchs Coffee: 26 45 39 28 57 31 43 45 50 62 Which of the following is the mode for this sample? a. 42.6 b. 45 c. 44 d. 26 and 62

b. 45

A tornado recently swept through central Texas, causing millions of dollars of damage. Because of the severity of the storm and the type of residential construction used in this part of the country, there was some concern that the average claim size would be greater than the historical average for storm damage claims ($24,000) in Texas. Several insurance companies collaborated in a study that was aimed at assessing whether claims related to this tornado exceed the historical average. The insurance companies randomly selected 84 homes and sent adjustors to settle the claims. In the sample of 84 homes, the average claim was $27,500 (sample standard deviation = $2,400). 14. What is the population being studied by the insurance companies? a. All 84 of the insured homes in their sample b. All insured homes that made damage claims after the recent tornado in Texas c. All insured homes making storm damage claims across the United States d. All insured homes that exceeded $24,000 in damage claims after the recent tornado in Texas

b. All insured homes that made damage claims after the recent tornado in Texas

The Better Business Bureau (BBB) has received complaints that Del Mar Foods is underfilling its five-pound bags of barley. To test their belief that Del Mar Foods is underfilling its five-pound bags of barley, the BBB randomly selects 98 bags of barley and determines the weight of each bag. The sample average weight of bags is 5.30 pounds (σ = 0.15 pounds). 14. Please conduct the appropriate statistical test using alpha = .05 and choose the correct conclusion below: a. Reject Ho; conclude that Del Mar Foods is underfilling their bags of barley b. Fail to reject Ho; the evidence does not indicate that Del Mar Foods is underfilling their bags of barley c. Reject Ho; conclude that Del Mar Foods is overfilling their bags of barley. d. Fail to reject Ho; conclude that Del Mar Foods is underfilling their bags of barley.

b. Fail to reject Ho; the evidence does not indicate that Del Mar Foods is underfilling their bags of barley

Refer to #5 Denise Rogers, a researcher for the American Association of Realtors believes that housing costs have increased since the beginning of the COVID-19 pandemic in 2020. To test this belief, Denise uses Zillow to look up and record the estimated prices of 50 homes before the start of the pandemic in January of 2020. She then looks up the prices that were estimated for each of these 50 homes in October of 2021 and records this information in the same Excel file. Denise then performs several analyses on the data. Results of these analyses appear below 1. Using alpha = .05, which of the following is the correct conclusion? a. Reject Ho, conclude that housing prices have decreased since the start of the pandemic in 2020 b. Reject Ho, conclude that housing prices have increased since the start of the pandemic in 2020 c. Fail to Reject Ho, conclude that housing prices have decreased since the start of the pandemic in 2020 d. Fail to Reject Ho, conclude that housing prices have increased since the start of the pandemic in 2020

b. Reject Ho, conclude that housing prices have increased since the start of the pandemic in 2020

The Better Business Bureau (BBB) has received complaints that Del Mar Foods is underfilling its five-pound bags of barley. To test their belief that Del Mar Foods is underfilling its five-pound bags of barley, the BBB randomly selects 98 bags of barley and determines the weight of each bag. The sample average weight of bags is 5.30 pounds (σ = 0.15 pounds). 14. Which of the following critical values is appropriate for testing the BBB's hypotheses? a. t = -1.645 b. z = -1.645 c. t = 1.661 d. z = 1.661

b. z = -1.645

Refer to #5 Denise Rogers, a researcher for the American Association of Realtors believes that housing costs have increased since the beginning of the COVID-19 pandemic in 2020. To test this belief, Denise uses Zillow to look up and record the estimated prices of 50 homes before the start of the pandemic in January of 2020. She then looks up the prices that were estimated for each of these 50 homes in October of 2021 and records this information in the same Excel file. Denise then performs several analyses on the data. Results of these analyses appear below 1. Given the design of this study and the conclusions based on the results (using alpha = .01), how many of the criteria for inferring causality can this study satisfy? a. 0 b. 1 c. 2 d. 3

c. 2

A tornado recently swept through central Texas, causing millions of dollars of damage. Because of the severity of the storm and the type of residential construction used in this part of the country, there was some concern that the average claim size would be greater than the historical average for storm damage claims ($24,000) in Texas. Several insurance companies collaborated in a study that was aimed at assessing whether claims related to this tornado exceed the historical average. The insurance companies randomly selected 84 homes and sent adjustors to settle the claims. In the sample of 84 homes, the average claim was $27,500 (sample standard deviation = $2,400). 14. What would be the correct decision if the insurance companies used a significance level of 0.01 to test their hypotheses? a. Reject Ho and conclude that claims from the recent tornado in Texas are lower than the historical average. b. Fail to Reject Ho and conclude that claims from the recent tornado in Texas are similar to the historical average c. Reject Ho and conclude that claims form the tornado in Texas are greater than the historical average d. Fail to Reject Ho and conclude that claims form the tornado in Texas are greater than the historical average

c. Reject Ho and conclude that claims form the tornado in Texas are greater than the historical average

Elon Musk claims that the new Tesla sports utility vehicle (SUV) can accelerate to 60 miles per hour in less than 3.5 seconds. To make this claim in its commercials, Tesla was required to show evidence that the new SUV can accelerate to 60 miles per hour in under 3.5 seconds, on average. Tesla reported that for a sample of 50 speed tests, the mean time to that it took the new SUV to reach 60 miles per hour was 3.3 seconds, with a standard deviation of .60 seconds. 1. You would like to estimate the average time it takes for the Tesla SUV to accelerate to 60 miles per hour. Which of the following would you use to calculate the 99% confidence interval? a. z = ±2.68 b. z = ±2.58 c. t = ±2.68 d. t = ±2.40

c. t = ±2.68

1. If a sample has 72 observations and a 99% confidence interval estimate for μ is needed, the appropriate critical value of t to use is: a. 1.994 b. 2.326 c. 2.380 d. 2.647

d. 2.647

Refer to #10 Historically, 76% of University of Arkansas faculty members purchase a parking pass every year. Donna Jean, the manager of parking facilities, believes that an increase in the price of parking passes will result in a decrease in the proportion of faculty members who will purchase parking passes. To test this idea, Donna Jean randomly sampled 400 U of A faculty members and asked them if they would buy a parking pass following the implementation of a price increase. Results indicate that 296 of the faculty members in her sample would purchase the more expensive parking passes, while 104 would not. 1. Which of the following would be the correct decision, based on the correct analysis and alpha = .01? a. Reject Ho; conclude that an increase in the price of parking passes will result in a decrease in the proportion of faculty members who will purchase a parking pass. b. Retain Ho; conclude that an increase in the price of parking passes will result in a decrease in the proportion of faculty members who will purchase a parking pass. c. Fail to Retain Ho; conclude that an increase in the price of parking passes will result in a decrease in the proportion of faculty members who will purchase a parking pass. d. Fail to Reject Ho; conclude that an increase in the price of parking passes will not result in a decrease in the proportion of faculty members who will purchase a parking pass

d. Fail to Reject Ho; conclude that an increase in the price of parking passes will not result in a decrease in the proportion of faculty members who will purchase a parking pass

Refer to #5 Denise Rogers, a researcher for the American Association of Realtors believes that housing costs have increased since the beginning of the COVID-19 pandemic in 2020. To test this belief, Denise uses Zillow to look up and record the estimated prices of 50 homes before the start of the pandemic in January of 2020. She then looks up the prices that were estimated for each of these 50 homes in October of 2021 and records this information in the same Excel file. Denise then performs several analyses on the data. Results of these analyses appear below. 1. What hypothesis are you testing with this data? a. H0: μ 2020 - μ 2021 ≠ 0; H1: μ 2020 - μ 2021 = 0 b. H0: μ 2020 - μ 2021 = 0; H1: μ 2020 - μ 2021 ≠ 0 c. H0: μ d(2020-2021) ≤ 1; H1: μ d(2020-2021) < 1 d. H0: μd (2020-2021) ≤ 0; H1: μ d(2020-2021) < 0

d. H0: μd (2020-2021) ≤ 0; H1: μ d(2020-2021) < 0

The following data represent the ages of 10 employees in the financial planning and analysis department at Starmuchs Coffee: Which of the following best describes the shape of the distribution for this data? a. Normal b. Bimodal c. Positively Skewed d. Negatively skewed

d. Negatively skewed

Elon Musk claims that the new Tesla sports utility vehicle (SUV) can accelerate to 60 miles per hour in less than 3.5 seconds. To make this claim in its commercials, Tesla was required to show evidence that the new SUV can accelerate to 60 miles per hour in under 3.5 seconds, on average. Tesla reported that for a sample of 50 speed tests, the mean time to that it took the new SUV to reach 60 miles per hour was 3.3 seconds, with a standard deviation of .60 seconds. 1. After testing the correct hypothesis, what should Tesla conclude (α = 0.10)? a. Fail to reject Ho; the evidence suggests that it takes the new Tesla SUV more than 3.5 seconds to accelerate to 60 miles per hour. b. Fail to reject Ho; there is sufficient evidence that the new Tesla SUV can accelerate to 60 miles per hour in under 3.5 seconds. c. Reject Ho; there is sufficient evidence that the new Tesla SUV can accelerate to 60 miles per hour in over 3.5 seconds. d. Reject Ho; there is sufficient evidence that the new Tesla SUV can accelerate to 60 miles per hour in under 3.5 seconds.

d. Reject Ho; there is sufficient evidence that the new Tesla SUV can accelerate to 60 miles per hour in under 3.5 seconds.

1. You believe that there is a positive linear relationship between time spent studying and performance on the data analysis exam. Several correlation coefficients are presented below. Identify the one that is most consistent with your belief. a. r = -1.00 b. r = -0.50 c. r = 0.00 d. r = 0.07

d. r = 0.07