Problem 6. A law student wants to check on her professor's claim that convicted embezzlers spend on average 12.6 months in jail. To test this statement, the student takes a random sample of 46 convicted embezzlers and finds that the average length of jail time for the sample is 11.7 months with a sample standard deviation of 3.6 months. Does this data indicate that the professor's statement was wrong? Use a = .05 level of significance to conduct the appropriate test. (Hint: Case II) a. State the null hypothesis. b. State the alternative hypothesis. c. Select test statistic and compute the test statistic value. d. Find the reject region (or the P-value) of your test and state your conclusion.

Heather recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is 115 millimeters of mercury (mmHg). Heather believes the value is actually higher. She bases her belief on a recently reported study of 13 randomly selected, elderly females. The sample mean systolic blood pressure was 125 mmHg, and the sample standard deviation was 25 mmHg. C Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the 0.05 level of significance, can it be concluded that u, the population mean systolic blood pressure among elderly females, is greater than 115 mmHg? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) state the null hypothesis Ho and the alternative hypothesis H₁. 1 H₂ : 0…

Amanda recently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is 115 millimeters of mercury (mmHg). Amanda believes the value is actually higher. She bases her belief on a recently reported study of 17 randomly selected, elderly females. The sample mean systolic blood pressure was 123 mmHg, and the sample standard deviation was 23 mmHg. Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the 0.05 level of significance, can it be concluded that μ, the population mean systolic blood pressure among elderly females, is greater than 115 mmHg? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places.  A. Find the value of the test statistic and round to 3 or more decimal places. (I have posted a picture of an example problem…

An analyst found that the average amount of money in bank accounts at his/her bank is $2,000 with a standard deviation of $150.  What would be the variance?

Christin ently switched her primary doctor to one specializing in caring for elderly patients. On her new doctor's website, it says that the mean systolic blood pressure among elderly females is 115 millimeters of mercury (mmHg). Christine believes the value is actually higher. She bases her belief on a recently reported study of 14 randomly selected, elderly females. The sample mean systolic blood pressure was 129 mmHg, and the sample standard deviation was 22 Español mmHg. Assume that the systolic blood pressures of elderly females are approximately normally distributed. Based on the study, at the 0.05 level of significance, can it be concluded that u, the population mean systolic blood pressure among elderly females, is greater than 115 mmHg? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H . H, :0…

Last year, the average amount that teams for the Statistics Games raised was $375. Have teams been more successful at fundraising this year? To find out, you take a random sample of 36 teams. Your sample of 36 teams yields a mean of $396 and a standard deviation of $70. Might you have made a Type 1 or Type 2 error? A Type 1. This means that we said that the mean amount raised had increased, when it was actually still $375. B You might have made a calculation error. C Neither- we're sure the average has increased. D Type 2. This would mean that we said there was not enough evidence to say the mean had increased from $375, when it actually is higher than $375. E Either kind is possible!

please explain

Arbitron Media Research Incorporated conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 11 men was 30 minutes per day. The standard deviation was 13 minutes per day. The mean listening time for a sample of 18 women was also 30 minutes, but the standard deviation of the sample was 13 minutes. At the 0.02 significance level, can we conclude that there is a difference in the variation in the listening times for men and women?a. State the null and alternate hypotheses.multiple choice H0: σ12 = σ22 and H1: σ12 ≠ σ22 H0: σ12 = σ22 and H1: σ12 = σ22 H0: σ12 ≠ σ22 and H1: σ12 ≠ σ22 H0: σ12 ≤ σ22 and H1: σ12 > σ22 b. State the decision rule. (Round your answer to 2 decimal places.)   c. Compute the value of the test statistic. (Round your answer to 2 decimal places.)   d. Compute the p-value. (Round your answer to 4 decimal places.)   e. What…