Question

Although resting heart rates vary quite widely from individual to individual, athletes tend to have low resting heart rates. A kinesiology professor measured the resting heart rates for a sample of 41 athletes. The mean was 60.9 beats per minute and the standard deviation was 4.4. Conduct a test to determine whether the true mean resting heart rate for all athletes is less than 62 beats per minute. Allow a Type I error rate of 0.05. PLEASE EXPLAIN EACH STEP

(a) State the null and alternative hypotheses. H0:μ H a : μ

(b) Calculate the test statistic. (Round to 3 decimal places.)

(c) A computer gave a p-value of 0.0586. What decision should you make? the null hypothesis.

(d) What assumption not mentioned in the scenario must be satisfied in order for the test conducted above to be valid?

A. The distribution of the resting heart rates is normal.

B. The sample is taken randomly.

C. Both of the above.

Answer 1