A researcher would like to estimate the true mean number of hours adults sleep at night. Suppose that population sleep time is known to follow a Normal distribution with population standard deviation as 1.5 hours. The researcher random select 100 people and found the average sleeping hours for the sample of 100 people is 6.5 hours. 1) Use this sample mean to estimate the true population mean of sleep time with 95% confidence. 2) If the researcher intends to increase the confidence of the estimation to 99%, what is the CI now. Compare the 99% CI with the 95% CI calculated in previous question, what has been changed? 3) If the researcher wants to increase the confidence of estimation to 99% without extend the range of the CI, what should this researcher do?
Question 1: A researcher would like to estimate the true mean number of hours adults sleep at night. Suppose that population sleep time is known to follow a
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1) Use this sample mean to estimate the true population mean of sleep time with 95% confidence.
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2) If the researcher intends to increase the confidence of the estimation to 99%, what is the CI now. Compare the 99% CI with the 95% CI calculated in previous question, what has been changed?
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3) If the researcher wants to increase the confidence of estimation to 99% without extend the
range of the CI, what should this researcher do?
4) Reflect on previous questions and the CI formula ?# ± ? , what factors can affect the CITY and how?
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