Question

output from a software package follows: one-sample z: test of h0: μ=35 versus h1: μ≠35. the assumed standard deviation = 1.8 variable n mean stdev se mean z p x 10 35.710 1.735 ? ? ?a) Fill in the missing items. What conclusions would you draw? (b) Is this a one-sided or a two-sided test? (c) Use the normal table and the preceding data to construct a 95% two-sided CI on the mean. (d) What would the P-value be if the alternative hypothesis

Answer 1

The missing items in the output are the Standard Error of the Mean (SE Mean), Z-score (z), and P-value (p). This is a two-sided test. To construct a 95% two-sided confidence interval (CI) on the mean, use the critical values -1.96 and 1.96. The p-value would be different depending on the alternative hypothesis.

Step-by-step explanation:

The missing items in the output are:

• Standard Error of the Mean (SE Mean)
• Z-score (z)
• P-value (p)

(b) This is a two-sided test because the alternative hypothesis (h1) states that the population mean is not equal to 35.

(c) To construct a 95% two-sided confidence interval (CI) on the mean, we need to find the critical values for a two-tailed test. Using the normal table, the critical values are approximately -1.96 and 1.96. The formula for the confidence interval is: CI = mean ± (critical value * SE Mean)

(d) The p-value would be different depending on the alternative hypothesis. In this case, since the alternative hypothesis states that μ is not equal to 35, the p-value can be found in the output table or calculated using the z-score.