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1. Calculate the critical degrees of freedom and identify the critical t value for a single-sample...

1. Calculate the critical degrees of freedom and identify the critical t value for a single-sample t test in each of the following situations, using p=.05 for all scenarios. Then, state whether the null hypothesis would fail to be rejected or rejected:

a. Two-tailed test, N = 14, t = 2.05, (df= Answer:, critical t = Answer:, Reject or Fail to Reject Ho: Answer:

b. One-tailed test, N = 14, t = 2.05, (df= Answer:, critical t = Answer:, Reject or Fail to Reject Ho: Answer:

2. A company decides to offer a monetary incentive for employees who log a specified number of hours spent exercising in an attempt to improve employee health. The average health score (higher = better) of the 45 employees who logged enough hours was 89. The mean health score for all employees was 85, with a standard deviation of 6.1.

a. Is this a directional (one-tailed) or non-directional (two-tailed) study?

b. Calculate the standard error of the mean.

c. Conduct the z-test. Show your work (use at least two decimal places throughout).

What is the zobt score?

d. What is the z critical value (zcv)?

e. Write your conclusion in APA format. Don’t forget to include the statistical statement and whether you accept or reject the null hypothesis.

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