Hypothesis Test for the Mean

Hypothesis Test for the Mean - Population Standard Deviation Known/week 7 1. Jamie, a bowler, claims that her bowling score is less than 168 points, on average. Several of her teammates do not believe her, so she deci ...

Hypothesis Test for the Mean - Population Standard Deviation Known/week 7 1. Jamie, a bowler, claims that her bowling score is less than 168 points, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 1% significance level, to persuade them. She bowls 17 games. The mean score of the sample games is 155 points. Jamie knows from experience that the standard deviation for her bowling score is 19 points.  H0: μ≥168; Ha: μ<168  α=0.01 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places? −2.82. 2. Which of the following results in a null hypothesis p≤0.61 and alternative hypothesis p>0.61? A study says that at most 61% of students study less than 5 hours per week. A researcher thinks this is incorrect, and wants to show that more than 61% of students study less than 5 hours per week. 3. Lexie, a bowler, claims that her bowling score is more than 140 points, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She bowls 18 games. The mean score of the sample games is 155 points. Lexie knows from experience that the standard deviation for her bowling score is 17 points.  H0: μ≤140; Ha: μ>140  α=0.05 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?3.74 4. Determine the Type II error if the null hypothesis, H0, is: a wooden ladder can withstand weights of 250 pounds and less. This study source was downloaded by 100000825931745 from CourseHero.com on 05-14-2021 18:17:00 GMT -05:00 https://www.coursehero.com/file/59167896/Hypothesis-Test-for-the-Meandocx/ This study resource was shared via CourseHero.com You think the ladder can withstand weight of 250 pounds and less when, in fact, it cannot. 5. Which of the following results in a null hypothesis p=0.3 and alternative hypothesis p≠0.3? An insurance company claims that 30% of adults between the ages of 30 and 40 are overweight. A group of doctors think that is not accurate, and wants to show that the percent of these adults that are overweight is not 30%. 6. Determine the Type I error if the null hypothesis, H0, is: an electrician claims that no more than 10% of homes in the city are not up to the current electric codes. The electrician thinks that more than 10% of the homes in the city are not up to the current electrical codes when, in fact, at most 10% of the homes in the city are not up to the current electric codes. 7. Which graph below corresponds to the following hypothesis test? H0:μ≥5.9, Ha:μ<5.9 8. Which graph below corresponds to the following hypothesis test? This study source was downloaded by 100000825931745 from CourseHero.com on 05-14-2021 18:17:00 GMT -05:00 https://www.coursehero.com/file/59167896/Hypothesis-Test-for-the-Meandocx/ This study resource was shared via CourseHero.com H0:p≤8.1, Ha:p>8.1 9. Suppose the null hypothesis, H0, is: a sporting goods store claims that at least 70% of its customers do not shop at any other sporting goods stores. What is the Type I error in this scenario? The sporting goods store thinks that less than 70% of its customers do not shop at any other sporting goods stores when, in fact, at least 70% of its customers do not shop at any other sporting goods stores. 10. Determine the Type II error if the null hypothesis, H0, is: researchers claim that 65% of college students will graduate with debt. The researchers think that 65% of college students will graduate with debt when, in fact, more or less than 65% of college students will graduate with debt.