A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage, μ, of cars rented in the U.S. this year. The consumer group has reason to believe that the mean monthly mileage of cars rented in the U.S. this year is less than last year's mean, which was 2700 miles. The group plans to do a statistical test regarding the value of μ. It chooses a random sample of monthly mileages and computes the mean of the sample to be 2525 miles and the standard deviation to be 800 miles. Based on this information, answer the questions below. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test? H0: μ is H1: μ is In the context of this test, what is a Type II error? A Type II error is the hypothesis that μ is when, in fact, μ is . Suppose that the group decides not to reject the null hypothesis. What sort of error might it be making?
| null hypothesis:Ho μ | is at least | 2700 | |
| Alternate Hypothesis:Ha μ | is less than | 2700 | |
A Type II error is retain the the hypothesis that μ is at least 2700 when, in fact, μ is less than 2700.
since we fail to reject the null hypothesis. this may lead to type II error.
A consumer advocacy group is doing a large study on car rental practices. Among other things,...
A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage, u, of cars rented in the U.S. this year. The consumer group has reason to believe that the mean monthly mileage of cars rented in the U.S. this year is less than last year's mean, which was 2800 miles. The group plans to do a statistical test regarding the...
A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage, μ, of cars rented in the U.S. this year. The consumer group has reason to believe that the mean monthly mileage of cars rented in the U.S. this year is less than last year's mean, which was 2850 miles. The group chooses a random sample of 50 cars rented...
Problem Page A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage, μ, of cars rented in the U.S. this year. The consumer group has reason to believe that the mean monthly mileage of cars rented in the U.S. this year is greater than last year's mean, which was 2850 miles.The group plans to do a statistical test regarding...
A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage, H, of cars rented in the US, this year. The consumer group has reason to believe that the mean monthly mileage of cars rented in the U.S. this year is less than last year's mean, which was 2750 miles. The group chooses a random sample of 75 cars rented...
A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to do a statistical test regarding the mean monthly mileage, u, of cars rented in the U.S. this year. The consumer group has reason to believe that the mean monthly mileage of cars rented in the U.S. this year is less than last year's mean, which was 2800 miles. The group plans to do a statistical test regarding the...
A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, pl, of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate u using the mean of the sample. Using the value 850 miles per month as the standard deviation of monthly U.S. rental car mileages...
A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, u, of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate u using the mean of the sample. Using the value 850 miles per month as the standard deviation of monthly U.S. rental car mileages...
2. The manufacturer of a new model car (Camry) claims that a typical car get 26 miles per gallon. A consumer advocacy group is skeptical of this claim and thinks that the mean gas mileage, , of all Camrys may be less than 26 mpg. The group plans to perform the hypothesis test at a = 0.05, using a sample of 30 Camrys. Ho: u = 26 mpg Hu<26 mpg Find the probability of making a Type II error if...
In the past, the mean gas mileage of a car is 32 mpg. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean gas mileage has increased as a result. The hypotheses are H0: μ = 32 mpg H1: μ > 32 mpg Suppose that the actual average mileage has increased and the results of the sampling fail to lead to rejection of the null hypothesis. Indicate which of...
A union of restaurant and food service workers would like to estimate this year's mean hourly wage, μ, of food service workers in the U.S. Last year's mean hourly wage was $8.14, and there is reason to believe that this year's value is less than last year's. The union decides to do a statistical test to see if the value has indeed decreased. The union chooses a random sample of this year's wages, computes the mean of the sample to...