Consider the following hypothesis test: Ho: μ 50 Ha: μ > 50 A sample of 60 is used and the population standard deviation is 7, Use the critical value approach to state your conclusion for each of the following sample results. Use α = .05. a. With C-52.5, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select b. With T 51, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select c. With x-51.8, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50? Select+

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=26.4σ=26.4. You would like to be 99% confident that your estimate is within 2 of the true population mean. How large of a sample size is required?n =

A standardized math test of fifth grade students produces a mean ?μ = 100 with a ?σ = 18. A sample of n = 36 students participated in "boost" training for their math skills. The sample M = 104 with S = 24.  Did this "boost" training significantly improve students' math performance? Use ?α = .01.

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level.  Suppose a sample of 2552 tenth graders is drawn. Of the students sampled, 2119 read above the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places.

The test statistic, t, is - 22.67. (Round to two decimal places as needed.) The P-value is 0.000. (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda.

Find the standardized test statistic t for a sample with n = 10,  xbar= 12.7, s = 1.3, and α = 0.05 if H0: μ ≥ 13.6. Round your answer to three decimal place

An independent measures study with n = 6 in each sample produces a sample mean difference of 8 points and Sm1-m2= 2. What is the value for the T statistic? A. 1 B. 2 C. 4 D. 4/-8

2)

Solve the problem. Find the standardized test statistic t for a sample with n = 15, x = 8.7, s = 0.8, and a = 0.05 if Ho: Hs 8.4. Round your answer to three decimal places. a. 1.452 b. 1.631 c. 1.728 d. 1.312

Find the mean: You are given the following hypotheses: H0 : μμ = 60 HA : μμ < 60 We know that the sample standard deviation is 9 and the sample size is 20. For what sample mean would the p-value be equal to 0.05? Assume that all conditions necessary for inference are satisfied. Round your answer to 3 decimal places.