Both pictures go hand in hand The recipe you used to calculate the 95% confidence interval requires an important assumption about the 27 men whoprovided the data. What is this assumption?O The subjects in the placebo group are a simple random sample (SRS) of healthy white males.O The subjects in the placebo group are a simple random sample (SRS) of the healthy white males in the experiment.O The number of men in the in the placebo group are randomly chosen from the population of healthy white males.O The number of men in the placebo group are reasonably small enough sample to use the formula for a confidenceinterval for a population mean. Suppose that a randomized comparative experiment studies the effect of diet on blood pressure. Researchers divide 54healthy white males at random into two groups. One group receives a calcium supplement, and the othergroupreceives aplacebo. At the beginning of the study, the researchers measure several variables on the subjects. Thesystolic blood pressure of the 27 members of the placebo group is reported to be x =averageseated114.9, with a standard deviationof s = 9.3.%3DGive a 95% confidence interval for the mean systolic blood pressure of the population from which the subjectswere recruited.Report your interval values to one decimal place.95% confidence interval:

Name: Both pictures go hand in hand The recipe you used to calculate the 95%
Uploaded: 2024-03-05T11:53:49.000Z
Channel: Bartleby
Description: Both pictures go hand in hand The recipe you used to calculate the 95% confidence interval requires an important assumption about the 27 men whoprovided the data. What is this assumption?O The subjects in the placebo group are a simple random sample

The assumptions are given below: The samples are independently and randomly selected from the population. The population standard deviation is not known. The population follows normal. Here, the number of men in the placebo group are randomly chosen from the population of healthy white males. Hence, Correct Answer: The number of men in the placebo group are randomly chosen from the population of healthy white males. The degrees of freedom is, Df=n-1 =27-1 =26 The critical-value is obtained by using Excel function “=TINV(probability, degrees of freedom)”. Output obtained from Excel is given below: From the output, the t* is 2.056.The 95% confidence interval for the mean systolic blood pressure of the population from which the subjects were recruited is (111.2, 118.6), which is obtained below: CI=x¯±tsn=114.9±2.0569.327=114.9±3.68=111.22,118.58=111.2,118.6