Question

Question 7 of 9 (1 point) View problem in a pop-up 7.1 Section Exercise 11 For a random sample of 70 overweight men, the mean of the number of pounds that they were overweight was 30. The standard deviation of the population is 4.4 pounds. Round intermediate answers to at least three decimal places. Round your final answers to one decimal place. Part 1 The best point estimate of the mean is 30.0 pounds. Part 2 Find the 90% confidence interval of the mean of these pounds. 29.1 << 30.9 Part 3 out of 4 Find the 95% confidence interval of the mean of these pounds. << CHECK NEXT

Answer 1

Hee we need to find 95% confidence interval of mean of these pounds.z score for 95% confidence interval is1.96 as P(-1.96<z<1.96)=0.95

Now we will findmargin of error,$E=z*\frac{\sigma}{\sqrt{n}}=1.96*\frac{4.4}{\sqrt{70}}=1.031$

95% Confidence interval for mean $CI =\mu\pmE=30\pm1=(29,31)$