Medical School Applications A medical college dean read that the average number of applications a potential medical school student sends is 7.7. She thinks that the mean is lower than  7.7. So she selects a random sample of 28 applicants and asks each how many medical schools they applied to. The mean of the sample is 6.8. The population standard deviation is 2.5 . Test her claim at α=0.10. Assume that the variable is normally distributed. Use the P -value method with tables. State the hypotheses and identify the claim.   :H0  ▼(Choose one) :H1 ▼(Choose one) This hypothesis test is a ▼(Choose one) test.       Compute the test value. Always round z  score values to at least two decimal places. z= Find the P-value. Round the answer to at least four decimal places. P-value= Make the decision. ▼(Choose one) the null hypothesis.       Summarize the results. There is ▼(Choose one) that the average number of applications a potential medical school student sends is lower than  7.7

A population has a mean µ = 81 and a standard deviation o = 36. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 81. (Simplify your answer.) o; = (Simplify your answer.) O- =

K 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 25 Model A washing machines is $212. Assume the population standard deviation is $20. The mean repair cost of 27 Model B washing machines is $228. Assume the population standard deviation is $21. At a=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 Ho and Ha What is the claim? OA. The mean repair costs for Model A and Model B are equal. OB. The mean repair cost for Model A is less than Model B. OC. The mean repair costs for Model A and Model B are different. OD. The mean repair cost for Model A is greater than Model B. Let u₁ be the mean repair cost for Model A and let ₂ be the mean repair cost for Model B. What are Ho and H₂? OA. Ho: H1 H2 Ha H₁242 OD.…

A fitness center bought a new exercise machine called the Mountain Climber. They decided to keep track of how many people used the machine over a 3-hour period. Here X is the number of people who used the machine.     X 0 1 2 3 4 PX 0.2 0.2 0.1 0.4 0.1 Find the mean,variance and standard deviation