Find a confidence interval for

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.First determine which scenario you are working with.

a. A random sample of 19 adults participated in a four-month weight loss program. Their mean weight loss was 10.6 lbs, with a standard deviation of 2.2 lbs. Use this sample data to construct a 98% confidence interval for the population mean weight loss for all adults using this four-month program. You may assume the parent population is normally distributed. Round to one decimal place.

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b. In the year 2000, a survey of 1154 U.S. adults were asked who they felt was the greatest President. Of those surveyed, 309 reported that Abraham Lincoln was the greatest President. Use this data to construct a 98% confidence interval for the population proportion of all U.S. adults who would say that Abraham Lincoln was the greatest president before the year 2000. Answer using decimals and round to four decimal places

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c. The U.S. Census bureau conducts a study of 185 people to determine the time needed to complete the short census form.The sample mean is 7 minutes. There is a known population standard deviation of 2.1 minutes.Use this data to construct a 90% confidence interval forthe population mean time in minutes it takes to complete the short form. Round your answers to one decimal.

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