Question

Circulating levels of estrogen were measured in a sample of 25 women in their thirties. The sample mean and the sample standard deviation were 73 and 16, respectively. Can it be concluded from the data that the population mean level is greater than 70? Use α = 0.05 level of significance.

First (1 pt.), what is the value for the best point estimate for the circulating levels of estrogen in the population?
Step 0 (1 pt.) What assumption(s) must be made?
Step 1 (2 pts.) State the hypotheses and identify the claim.
Step 2 (2 pts.) Find the critical value(s) and the critical region(s).
Step 3 (2 pts.) Compute the test value.
Step 4 (2 pts.) Make the decision to reject or not reject the null hypothesis.
Step 5 (2 pts.) Summarize the results.
Step 6 (2 pts.) Compute the p-value for the test statistic.

Please answer to First and Steps 0-6 in the space below showing some work for possible partial credit.
- Separate your answers to the different steps, e.g., write STEP 3 and/or copy the prompt for the step and start a new line.
- Use parenthesis for numerator/denominator.
- You can copy and paste special symbols from here ( ≠   α     µ   ≤   ≥   H0 ) or simply write mu, etc.

Answer 1