The Department of Education would like to test the hypothesis that the average debt load of graduating students with a Bachelor's degree is equal to $17,500. A random sample of 34 students had an average debt load of $18,200. It is believed that the population standard deviation for student debt load is $4,200. The Department of Education would like to set α = 0.10. The critical value for this hypothesis test would be

You want to buy a washing​ machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 21 Model A washing machines is $215. Assume the population standard deviation is $19. The mean repair cost of 22 Model B washing machines is $221. Assume the population standard deviation is $20. At α=0.01, can you reject the​ salesperson's claim? Assume the samples are random and​ independent, and the populations are normally distributed.

A demographics researcher claims that the mean household income in a recent year is the same in Ada County, Idaho, and Cameron Parish, Louisiana. In Ada County, a sample of 18 residents has a mean household income of $58,300 and a standard deviation of $9,000. In Cameron Parish, a sample of 20 residents has a mean household income of $56,600 and a standard deviation of $15,600. At α=0.10, can you reject the demographics researcher’s claim. Assume the population variances are not equal. a) Null and Alternative Hypothesis b) Determine the critical value using the t-table c) Determine the rejection region d) Calculate test statistic e) Accept or reject the null hypothesis

In the year 2033, katy perry is a leading traveling nurse. Katy is interested in reducing the mean recovery time for patients after experiencing a serious injury (assume recovery times are normally distributed). Suppose the mean recovery time is presently 8.6 months. Katy takes a random sample of 46 patients that have experienced serious injury to participate in a new treatment program and finds the sample mean is 8.1 months and a sample standard deviation of 1.2 months. Using α = 0.05, answer the following questions. g) What is the interpretation (not your conclusions) of the p value in the context of the problem you found in part e? h) What are your conclusions in the context of the problem? Relate your conclusions to the test statistic and critical value, confidence interval and p value.

The average price of a sample of 12 bottles of diet salad dressing taken from different stores is $1.43. The standard deviation is $0.09. The average price of a sample of 16 low-calorie frozen desserts is $1.03. The standard deviation is $0.10. At α = 0.05, is the price of salad dressings significantly higher than the price of frozen desserts?

A hiring company claims that the variance of the annual salaries for managers is greater in Florida than Georgia. You select a sample of 28 managers in Florida and find the standard deviation to be $11,000. You select a sample of 24 managers in Georgia and find the standard deviation to be $9,200. At α=0.05, can you support the hiring company's claim?

You want to buy a washing​ machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 24 Model A washing machines is ​$209. Assume the population standard deviation is ​$20. The mean repair cost of 27 Model B washing machines is ​$215. Assume the population standard deviation is ​$24. At α=0.01, can you reject the​ salesperson's claim? Assume the samples are random and​ independent, and the populations are normally distributed. Complete parts​ (a) through​ (e). ​(a) Identify the claim and state H0 and Ha.   What is the​ claim?     A. The mean repair costs for Model A and Model B are equal.   B. The mean repair cost for Model A is greater than Model B.   C. The mean repair costs for Model A and Model B are different.   D. The mean repair cost for Model A is less than Model B. Let μ1 be the mean repair cost for Model A and let μ2 be the mean repair cost for Model B.…

Many psychologists are concerned that the average level of anxiety in children has increased over the past 40 years. In the 1980s, the population average score on the Child Manifest Anxiety Scale (CMAS) was 15.1. In 2021, a random sample of 101 children was tested with CMAS. The mean for the sample was 16.1 with the standard deviation of 4. Is there enough evidence to claim that there has been a significant change in the average level of anxiety since the 1980s? Conduct the appropriate statistical test (two- tailed) with a = .05. Based on the estimated Cohen's d, the magnitude of change in the average level of anxiety since the 1980s could best be qualified as: O Very large O Large O No change OSmall