Among all species of the common field mouse, the average weight is about 19 grams with a standard deviation of 4 grams. Cancer researchers in Iowa use a particular species of field mouse from Greenland which hat certain autoimmune traits that make studying certain aspects of brain tumors easier. A sample officance at the laboratory in Iowa had an average weight of 17 grams. Conduct a one-sample z-test of signifie weights level a = 0.01 to determine if the weights of the mice used in this laboratory are different than the weights of the common field mouse. Use this information to answer questions 20 - 23. 20. State the appropriate null and alternative hypotheses for this test. 21. Compute the value of the test statistic: 22. Determine the P-value for this test of significance:

The manufacturer of a particular brand of tires claims they average at least 50,000 miles before needing to be replaced. From past studies of this tire, it is known that the population standard deviation is 8,000 miles. A survey of tire owners was conducted. From the 28 tires surveyed, the mean lifespan was 46500 miles. Using alpha = 0.05, can we prove that the data in inconsistent with the manufacturers claim?   We should use a     test. What are the correct hypotheses? H0:                   Ha:                    Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to       . The correct conclusion would be:

According to a news program, Americans take an average of 4.9 days off per year because of illness. The manager of a large chain of grocery stores wants to know if the employees at the grocery store, on average, take fewer days off than the national average.  The manager selects a random sample of 80 employees in the company and found the sample mean number of days off for the 80 employees was 4.75 days with a standard deviation of 0.9 days. When the manager performed a significance test, the P-value was 0.07. What is the meaning of this P-value in context?

One way to check on how representative a survey is of the population from which it was drawn is to compare various characteristics of the sample with the population characteristics. A typical variable used for this purpose is age. The GSS 2018 found a mean age of 48.69 and a standard deviation of 17.99 for its sample of 1,495 American adults. Assume that we know from census data that the mean age of all American adults is 37.80. What is the research and the null hypotheses for a two-tailed test of means, calculate the t statistic and test the null hypothesis at the .001 significance level, and what is the decision about the null hypothesis?

Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women

The Fair Isaac Cooperation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 330 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720. She finds that a random sample of 60 people had a mean FICO score of 685 with a standard deviation of 80. Can the economist conclude that the mean FICO score is less than 720? Use the a=0.10 level of significance and the P-value method

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The owners of the Metro Cash & Carry wished to study customers’ shopping habits. From earlier studies, the owners were under the impression that a typical shopper spends 0.7 hour at the mall, with a standard deviation of 0.10 hour. Recently the owners added some specialty restaurants designed to keep shoppers in the mall longer. A research team was hired to evaluate the effects of the restaurants. A sample of 45 shoppers by the team revealed that the mean time spent in the mall had increased to 0.80 hour. i. Develop a hypothesis test to determine if the mean time spent in the mall changed. Use the .10 significance level. ii. Suppose the mean shopping time actually increased from 0.75 hour to 0.79 hours. What is the probability of making a Type II error? iii)When research team reported the information in part (b) to the mall owners, the owners believed that the probability of making a Type II error was too high. How could this probability be reduced? plz sove it…

A blood bank is conducting a study on how much time is required of their patients for blood platelet donations. Based on past records, time spent in the waiting room has a mean of 5 minutes and a standard deviation of 1 minute, time spent with a nurse who reviews patients' medical records and measures their vital signs has a mean of 10 minutes and a standard deviation of 3 minutes, and the actual donation time has a mean of 130 minutes and a standard deviation of 8 minutes. Assuming these three times are independent and can all be modeled using a normal distribution, approximately what proportion of donors finish the entire donation process in under 2.5 hours (150 minutes)? (A) 0.66 (B) 0.72 (C) 0.84 (D) 0.89 (E) 0.99

A professional racing team is holding tryouts at its test track. The team requires its drivers to have an average lap time of at most 133 seconds at its test track. The team will use a one sample z-test of significance to determine if they should hire a new driver.   An amateur driver completes 8 timed laps of the test track with an average lap time of 136 seconds. If the standard deviation of all lap times at this track is 4.1 seconds, what is the value of the test statistic? Round your answer to two decimal places.