Chapter 8-3

A data set includes data from student evaluations of courses. The summary statistics are n=92​, x=3.65, s=0.69. Use a 0.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.75. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A) H0: μ = 3.75 H1: μ ≠ 3.75 B) H0: μ ≠ 3.75 H1: μ = 3.75 C) H0: μ = 3.75 H1: μ < 3.75 D) H0: μ = 3.75 H1: μ > 3.75 Determine the test statistic. _____ Determine the P-value. _____ __________ H0. There is __________ evidence to conclude that the original claim that the mean of the population of student course evaluations is equal to 3.75 __________ correct.

What are the null and alternative hypotheses? A) H0: μ = 3.75 H1: μ ≠ 3.75 Determine the test statistic. _-1.39_ Z-Test(3.75,0.69,3.65,92,=) =-1.39 Determine the P-value. _0.164_ Same as above. _Fail to reject_ H0. There is _not sufficient_ evidence to conclude that the original claim that the mean of the population of student course evaluations is equal to 3.75 _is not_ correct.

The display provided from technology available below results from using data for a smartphone​ carrier's data speeds at airports to test the claim that they are from a population having a mean less than 6.00 Mbps. Conduct the hypothesis test using these results. Use a 0.05 significance level. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A) H0​: μ < 6.00 Mbps H1: μ = 6.00 Mbps B) H0: μ = 6.00 Mbps H1: μ < 6.00 Mbps C) H0: μ = 6.00 Mbps H1: μ > 6.00 Mbps D) H0: μ = 6.00 Mbps H1: μ ≠6.00 Mbps Identify the test statistic. _____ Identify the P-value. _____ __________ H0. There is ___________ evidence to support the claim that the sample is from a population with a mean less than 6.00 Mbps.

What are the null and alternative hypotheses? B) H0: μ = 6.00 Mbps H1: μ < 6.00 Mbps Identify the test statistic. _-0.38_ Display from Technology. Identify the P-value. _0.354_ Display from Technology. _Fail to reject_ H0. There is _not sufficient_ evidence to support the claim that the sample is from a population with a mean less than 6.00 Mbps.

A data set lists earthquake depths. The summary statistics are n=600​, x=6.72km, s=4.71 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 6.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A) H0: μ ≠ 6.00 km H1: μ = 6.00 km B) H0: μ = 6.00 km H1: μ < 6.00 km C) H0: μ = 6.00 km H1: μ ≠ 6.00 km D) H0: μ = 6.00 km H1: μ > 6.00 km Determine the test statistic. _____ Determine the P-value. _____ __________ H0. There is __________ evidence to conclude that the original claim that the mean of the population of earthquake depths is 6.00 km _________ correct.

What are the null and alternative hypotheses? B) H0: μ = 6.00 km H1: μ < 6.00 km Determine the test statistic. _3.74_ T-Test(6,6.72,4.71,600,=) =3.74 Determine the P-value. _0.000_ Same as above. Watch the Scientific Notation! _Reject_ H0. There is _sufficient_ evidence to conclude that the original claim that the mean of the population of earthquake depths is 6.00 km _is not_ correct.

A data set about speed dating includes​ "like" ratings of male dates made by the female dates. The summary statistics are n=192​,x =7.55​, s=1.96. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 8.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A) H0: μ = 8.00 H1: μ ≠ 8.00 B) H0: μ = 8.00 H1: μ < 8.00 C) H0: μ < 8.00 H1: μ > 8.00 D) H0: μ = 8.00 H1: μ > 8.00 Determine the test statistic. _____ Determine the P-value. _____ __________ H0. There is __________ evidence to conclude that the mean of the population of rating is ___________ 8.00.

What are the null and alternative hypotheses? B) H0: μ = 8.00 H1: μ < 8.00 Determine the test statistic. _-3.18_ Z-Test(8.00,1.96,7.55,192,<) =-3.18 Determine the P-value. _0.000_ Same as above. Watch the scientific notation! _Reject_ H0. There is _sufficient_ evidence to conclude that the mean of the population of rating is _less than_ 8.00.

In a test of the effectiveness of garlic for lowering​ cholesterol, 49 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes​ (before minus​ after) in their levels of LDL cholesterol​ (in mg/dL) have a mean of 0.7 and a standard deviation of 2.17. Use a 0.10 significance level to test the claim that with garlic​ treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic​ treatment? Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A) H0: μ = 0 mg/dL H1: μ ≠ 0 mg/dL B) H0: μ > 0 mg/dL H1: μ < 0 mg/dL C) H0: μ = 0 mg/dL H1: μ < 0 mg/dL D) H0: μ = 0 mg/dL H1: μ > 0 mg/dL Determine the test statistic. _____ Determine the P-value. ______ ___________ H0. There is __________ evidence to conclude that the mean of the population of charge __________ 0.

What are the null and alternative hypotheses? D) H0: μ = 0 mg/dL H1: μ > 0 mg/dL Determine the test statistic. _2.26_ T-Test(0,0.7,2.17,49,>)= 2.26 Determine the P-value. _0.012_ Same as above _Reject_ H0. There is _sufficient_ evidence to conclude that the mean of the population of charge _is greater than_ 0.

A data set includes data from 500 random tornadoes. The display from technology available below results from using the tornado lengths​ (miles) to test the claim that the mean tornado length is greater than 2.2 miles. Use a 0.05 significance level. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and althernative hypotheses? A) H0: μ = 2.2 miles H1: μ < 2.2 miles B) H0: μ = 2.2 miles H1: μ ≠ 2.2 miles C) H0: μ = 2.2 miles H1: μ > 2.2 miles D) H0: μ < 2.2 miles H1: μ = 2.2 miles Identify the test statistic. _____ Identify the P-value. _____ __________ H0. There is __________ evidence to support the claim that the mean tornado length is greater than 2.2 miles.

What are the null and althernative hypotheses? C) H0: μ = 2.2 miles H1: μ > 2.2 miles Identify the test statistic. _0.62_ Display from Technology. Identify the P-value. _0.268_ Display from Technology. _Fail to reject_ H0. There is _no sufficient_ evidence to support the claim that the mean tornado length is greater than 2.2 miles.

A simple random sample of 10 pages from a dictionary is obtained. The numbers of words defined on those pages are​ found, with the results n=10​, x =67.1 words, s=16.8 words. Given that this dictionary has 1434 pages with defined​ words, the claim that there are more than​ 70,000 defined words is equivalent to the claim that the mean number of words per page is greater than 48.8 words. Use a 0.10 significance level to test the claim that the mean number of words per page is greater than 48.8 words. What does the result suggest about the claim that there are more than​ 70,000 defined​ words? Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. Assume that the population is normally distributed. What are the null and althernative hypotheses? A) H0: μ = 48.8 words H1: μ ≠ 48.8 words B) H0: μ > 48.8 words H1: μ < 48.8 words C) H0: μ = 48.8 words H1: μ > 48.8 words D) H0: μ = 48.8 words H1: μ < 48.8 words Determine the test statistic. _____ Determine the P-value. _____ __________ H0. There is __________ evidence to support the claim that there __________ 70,000 defined words in the dictionary.

What are the null and althernative hypotheses? C) H0: μ = 48.8 words H1: μ > 48.8 words Determine the test statistic. _3.44_ T-test(48.8,67.1,16.8,10,>) =3.44 Determine the P-value. _0.004_ Same as above. _Reject_ H0. There is _sufficient_ evidence to support the claim that there _are more than_ 70,000 defined words in the dictionary.