Statistical Studies: Hypothesis Testing (Assignment) ~amdm
1. The z-statistic for a sample of Delmar's practice times is 1.41. How should this statistic be interpreted in terms of the hypothesis test? 2. Based on the hypothesis test, what conclusion can be drawn about Delmar's claim?
1. There is not enough evidence to reject H0. 2. There is not enough evidence to accept or reject his claim.
1. A basketball coach claims that the team's players commit, on average, no more than 10 fouls per game. Let µ represent the team's average number of fouls per game. Another coach thinks that these players create more fouls. What is the null hypothesis, H0, for this situation? 2. What is the alternative hypothesis, Ha, for this situation? 3. What type of significance test should be used for this situation?
1. u<=10 2. u>10 3. a right-tailed test
1. A meteorologist claims that the average daily high temperature in Oklahoma City is 90°F. Let µ represent the average daily high temperature, in °F, in Oklahoma City during the summer. What is the null hypothesis, H0, for this situation? 2. You have sample data that leads you to believe that the average high temperature in Oklahoma City is 92°F. What is the alternative hypothesis, Ha, for this situation?
1. u=90 2. u>90
1. The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15.9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes. Let µ represent the average number of minutes to fill an order. To the nearest hundredth, the z-statistic is 2. The reporter wants to test the store's claim against the alternative hypothesis that the wait time is actually greater than 60 minutes. What is the critical value for z for a hypothesis test using a 5% significance level?
1. z= 1.19 2. z*= 1.65
1. A company claims that its packages of beads contain, on average, 50 beads with a standard deviation of 5.4 beads. In a hypothesis test of this claim, H0 is µ = 50 and Ha is µ ≠ 50, where µ is the average number of beads per package. Based on a sample of 20 packages, Celia calculates a mean of 52.5 beads per package. What is the z-statistic for the sample? Round the answer to the nearest hundredth. 2. The critical value for z* for a hypothesis test of the claim at 5% significance is z* = 1.96. How should the z-statistic for the sample be interpreted in terms of the hypothesis test?
1. z= 2.07 2. The null hypothesis should be rejected.
1. A cereal manufacturer claims that there are an average of 200 raisins in each box of cereal. Let µ represent the average number of raisins per box of cereal. You want to test this claim. What is the null hypothesis, mc001-1.jpg, for this situation? 2. You have reason to believe that there are actually fewer raisins in each box than the company claims. Your alternative hypothesis, mc002-1.jpg, would be 3. You have reason to believe that there are actually more raisins in each box than the company claims. Your alternative hypothesis, mc003-1.jpg, would be
1.u=200 2. u<200 3. u>200
A hypothesis test has a significance level of 10%. Explain what this significance level represents.
Sample Response: The significance level determines the critical region of the hypothesis test. A significance level of 10% means that there is a 10% probability of rejecting the null hypothesis incorrectly.
