4. Suppose a sample of 10 participants had their systolic blood pressure measured. The sample had a mean of 124.6 mm Hg with a standard deviation of 10.4 mm Hg. a) Explain why we might prefer to use a t-procedure as opposed to a z-procedure to compute a confidence interval that estimates the true mean systolic blood pressure of the population given this sample data.

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4.
Suppose a sample of 10 participants had their systolic blood pressure measured. The sample
had a mean of 124.6 mm Hg with a standard deviation of 10.4 mm Hg.
a) Explain why we might prefer to use a t-procedure as opposed to a z-procedure to compute a
confidence interval that estimates the true mean systolic blood pressure of the population given
this sample data.
b) Compute a 99% confidence interval for the true mean systolic blood pressure.
c) If the sample size was increased, how would that affect the size of the confidence interval?
Transcribed Image Text:4. Suppose a sample of 10 participants had their systolic blood pressure measured. The sample had a mean of 124.6 mm Hg with a standard deviation of 10.4 mm Hg. a) Explain why we might prefer to use a t-procedure as opposed to a z-procedure to compute a confidence interval that estimates the true mean systolic blood pressure of the population given this sample data. b) Compute a 99% confidence interval for the true mean systolic blood pressure. c) If the sample size was increased, how would that affect the size of the confidence interval?
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