Question

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11 - The mean weight of 10 randomly selected newborn babies at a local hospital is 7.14 lbs and the standard deviation is 0.87 lbs. Assume the weight of newborn babies has approximately normal distribution. a. Find the margin of error for the 95% confidence interval for the mean weight of all newborn babies at this hospital. b. Use information from part (a) to fill in the blanks in the following sentence: __________ of all samples of size _____ have sample means within _______ of the population mean. c. Find a 95% confidence interval for the mean weight of all newborn babies at this hospital. d. Does the confidence interval, at 95% confidence level, provide sufficient evidence that the mean weight of a newborn at this hospital is above 6.5 lb? Write the appropriate inequality to justify your answer. e. If you increase the confidence level (1-), will the confidence interval estimate be wider or narrower? Explain.

Answer 1