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Reserve Problems Chapter 8 Section 2 Problem 2 Your answer is partially correct. Try again. During the...

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Reserve Problems Chapter 8 Section 2 Problem 2

Your answer is partially correct. Try again.

During the nutrition research, the amount of consumedkilocalories per day was measured for 18 people – 10 women and 8men. Results are as follows:

Women: 1962, 1842, 1588, 1911, 1779, 1603, 1758, 1771, 1874,1974;

Men: 2097, 2560, 2328, 2399, 2420, 2292, 2263, 2047.


Calculate a 90% confidence interval on the mean for women and menseparately. Assume distribution to be normal.
Round your answers to the nearest integer (e.g. 9876).

Women:Enter your answer; Women: confidence interval, lower bound ≤μ≤Enter your answer; Women: confidence interval, upper bound
Men:Enter your answer; Men: confidence interval, lower bound ≤μ≤Enter your answer; Men: confidence interval, upper bound

Answer & Explanation Solved by verified expert
3.6 Ratings (489 Votes)

for women\":

sample mean         x= 1806.200
sample size             n= 10
sample std deviation s= 134.36
std error sx=s/√n= 42.4913
for 90% CI; and 9 df, critical t= 1.8330
margin of error E=t*std error                            = 77.8865
lower bound=sample mean-E = 1728
Upper bound=sample mean+E= 1884

for men:

sample mean         x= 2300.750
sample size             n= 8
sample std deviation s= 168.706
std error sx=s/√n= 59.6465
for 90% CI; and 7 df, critical t= 1.8950
margin of error E=t*std error                            = 113.0301
lower bound=sample mean-E = 2188
Upper bound=sample mean+E= 2414
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