It is hypothesized that, among female population, the mean heart rate is 65 (? =

Question

It is hypothesized that, among female population, the mean heart rate is 65 (? = 65) with a variance of 25 (?2 = 25) per minute.

a- Compute the probability that the mean heart rate from a sample size of 30 will fall between 63 and 67 (i.e., 63< <67). (8 points)

b- Please explain the sampling distribution of the mean heart rate? (2 points)

c- What will be 95% of confidence interval (CI) of the mean heart rate for a sample mean of 64 (i.e., )?

d-For above problem 5(c), calculate 95% of CI of the sampling mean if we only know that the sample standard deviation is 6 rather than population standard deviation of 5.

Explanation / Answer

a. 0.13 b.

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