A contributor for the local newspaper is writing an article for the weekly fitness section. To prepare for the story, she conducts a study to compare theexercise habits of people who exercise in the morning to the exercise habits of people who work out in the afternoon or evening. She selects threedifferent health centers from which to draw her samples. The 70 people she sampled who work out in the morning have a mean of 4.9 hours ofexercise each week. The 50 people surveyed who exercise in the afternoon or evening have a mean of 3.9 hours of exercise each week. Assume thatthe weekly exercise times have a population standard deviation of 0.6 hours for people who exercise in the morning and 0.3 hours for people whoexercise in the afternoon or evening. Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in theafternoon or evening.Step 1 of 2: Construct a 90 % confidence interval for the true difference between the mean amounts of time spent exercising each week by peoplewho work out in the morning and those who work out in the afternoon or evening at the three health centers. Round the endpoints of the intervalto one decimal place, if necessary.1 PointE TablesE KeypadAnswerKeyboard ShortcutsLower Endpoint =PrevNextUpper Endpoint = A contributor for the local newspaper is writing an article for the weekly fitness section. To prepare for the story, she conducts a study to compare theexercise habits of people who exercise in the morning to the exercise habits of people who work out in the afternoon or evening. She selects threedifferent health centers from which to draw her samples. The 70 people she sampled who work out in the morning have a mean of 4.9 hours ofexercise each week. The 50 people surveyed who exercise in the afternoon or evening have a mean of 3.9 hours of exercise each week. Assume thatthe weekly exercise times have a population standard deviation of 0.6 hours for people who exercise in the morning and 0.3 hours for people whoexercise in the afternoon or evening. Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in theafternoon or evening.Step 2 of 2: Interpret the confidence interval obtained in Step 1.1 PointE TablesE KeypadAnswerKeyboard ShortcutsSince the confidence interval does not contain zero, the data do not provide evidence that the population means are unequal at a 90 % confidencelevel.We are 90% confident that the mean amount of time spent exercising each week by people who work out in the morning is between 0.9 hours and1.1 hours greater than the mean amount of time spent exercising each week by people who work out in the afternoon or evening.O Since the confidence interval contains zero, the data do not provide evidence that the population means are unequal at a 90% confidence level.PrevWe are 90% confident that the mean amount of time spent exercising each week by people who work out in the morning is between 0.9 hours and1.1 hours less than the mean amount of time spent exercising each week by people who work out in the afternoon or evening.

Question

A contributor for the local newspaper is writing an article for the weekly fitness section. To prepare for the story, she conducts a study to compare theexercise habits of people who exercise in the morning to the exercise habits of people who work out in the afternoon or evening. She selects threedifferent health centers from which to draw her samples. The 70 people she sampled who work out in the morning have a mean of 4.9 hours ofexercise each week. The 50 people surveyed who exercise in the afternoon or evening have a mean of 3.9 hours of exercise each week. Assume thatthe weekly exercise times have a population standard deviation of 0.6 hours for people who exercise in the morning and 0.3 hours for people whoexercise in the afternoon or evening. Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in theafternoon or evening.Step 1 of 2: Construct a 90 % confidence interval for the true difference between the mean amounts of time spent exercising each week by peoplewho work out in the morning and those who work out in the afternoon or evening at the three health centers. Round the endpoints of the intervalto one decimal place, if necessary.1 PointE TablesE KeypadAnswerKeyboard ShortcutsLower Endpoint =>PrevNextUpper Endpoint = A contributor for the local newspaper is writing an article for the weekly fitness section. To prepare for the story, she conducts a study to compare theexercise habits of people who exercise in the morning to the exercise habits of people who work out in the afternoon or evening. She selects threedifferent health centers from which to draw her samples. The 70 people she sampled who work out in the morning have a mean of 4.9 hours ofexercise each week. The 50 people surveyed who exercise in the afternoon or evening have a mean of 3.9 hours of exercise each week. Assume thatthe weekly exercise times have a population standard deviation of 0.6 hours for people who exercise in the morning and 0.3 hours for people whoexercise in the afternoon or evening. Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in theafternoon or evening.Step 2 of 2: Interpret the confidence interval obtained in Step 1.1 PointE TablesE KeypadAnswerKeyboard ShortcutsSince the confidence interval does not contain zero, the data do not provide evidence that the population means are unequal at a 90 % confidencelevel.We are 90% confident that the mean amount of time spent exercising each week by people who work out in the morning is between 0.9 hours and1.1 hours greater than the mean amount of time spent exercising each week by people who work out in the afternoon or evening.O Since the confidence interval contains zero, the data do not provide evidence that the population means are unequal at a 90% confidence level.PrevWe are 90% confident that the mean amount of time spent exercising each week by people who work out in the morning is between 0.9 hours and1.1 hours less than the mean amount of time spent exercising each week by people who work out in the afternoon or evening.

Accepted Answer

Let Population 1 be people who exercise in the morning and Population 2 be people who exercise in…

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