Question

Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 69 bpm. For a random sample of 165 adult​ males, the mean pulse rate is 67.7 bpm and the standard deviation is 10.6 bpm. Find the value of the test statistic.

Answer 1

Answer: We can use a one-sample t-test to determine whether the sample mean pulse rate of 67.7 bpm is significantly different from the hypothesized population mean of 69 bpm. The test statistic can be calculated as:

t = (sample mean - hypothesized population mean) / (standard deviation / sqrt(sample size))

Substituting the given values, we get:

t = (67.7 - 69) / (10.6 / sqrt(165))

t = -1.3 / 0.823

t ≈ -1.58

Therefore, the value of the test statistic is -1.58.