Suppose that we are to conduct the following hypothesis test:   H0:μ = 1040 H1:μ > 1040 Suppose that you also know that σ=210, n=95, x¯=1090.4, and take α=0.01. Draw the sampling distribution, and use it to determine each of the following: A. The value of the standardized test statistic:   Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a) is expressed (-infty, a), an answer of the form (b,∞) is expressed (b, infty), and an answer of the form (−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic:   C. The p-value is:

A simple random sample is taken from a population and yields the following data for a variable of the population. 10 38 17 33 31 12 12 17 31 27 Find a point estimate for the population mean (that is, the mean of the variable). A point estimate for the population mean is. (Round to one decimal place as needed.)

Participants who agree to use a certain weight loss pill to help alleviate their hunger were randomly surveyed before and after taking the weight loss pill. Their responses are given below using a scale from 1 to 10, where 1 is a small amount of hunger and 10 is very hungry. Does this weight loss pill help alleviate hunger? Before 9 9 7 6 8 7 7 5 8 After 8 9 6 5 8 7 8 4 6   What is the decision for this test? Participants who agree to use a certain weight loss pill to help alleviate their hunger were randomly surveyed before and after taking the weight loss pill. Their responses are given below using a scale from 1 to 10, where 1 is a small amount of hunger and 10 is very hungry. Does this weight loss pill help alleviate hunger? Before 9 9 7 6 8 7 7 5 8 After 8 9 6 5 8 7 8 4 6   What is the decision for this test? Fail to reject the null because the test statistic is not in the critical region and the p-value is less than alpha. Reject the null because the…

Question Help Y 12.2.79 The number of successes and the sample size for a simple random sample from a population are given below. x = 8, n = 40, Ho:p=0.4, H2: p< 0.4, a = 0.01 a. Determine the sample proportion. b. Decide whether using the one-proportion z-test is appropriate. c. If appropriate, use the one-proportion z-test to perform the specified hypothesis test. Click here to view a table of areas under the standard normal curve for negative values of z. Click here to view a table of areas under the standard normal curve for positive values of z. c. Determine the test statistic, if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. z= - 2.58 (Round to two decimal places as needed.) B. The one-proportion z-test is not appropriate. Identify the critical value(s), if appropriate. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. ±Za/2 (Round to two decimal places as…