4. The daily calorie consumption obtained from a random sample of 49 men ages 21

Question

4. The daily calorie consumption obtained from a random sample of 49 men ages 21 to 25 gave a sample mean of 2580 and a standard deviation is 210, The 95% confidence interval for the mean calorie consumption turns out to be 2521 to 2639 calories per day (rounded). a 3 pts. True or false circle one 95% of the men in this population have calorie consumption between the confidence limits of 2521 and 2639 calories per day. b, 3 pts. True or false (circle one) 95% limits of 2521 and 2639. of the men in the sample have calorie consumption between the confidence c. 3 pts. Suppose we test Ho: population mean 2600, Ha: population mean does not equal 2600. Which hypothesis should be "fail to reject"? (circle one) Ho or Ha d.3 pts. which of the following intervals is a 99.7% confidence interval? (circle one) 2490 to 2670 or 2550 to 2610

Explanation / Answer

Ans:

a),b)95% confidence interval of means indicate that if we take a number of samples from the population then 95% of the time population mean will be contained within the CI limits(2521, 2639)

i.e we will be 95% confident that population mean is contained within (2521,2639).

Hence, a and b,both statements are false.

c)As, CI limits contain the value 2600 so,it indicated that population mean is equal to 2600.

So,we fail to reject H0.

d)

z value for 99.7% is 3

99.7% CI is

=2580+/-3*210/sqrt(49)]

=2580+/-3*30

=2580+/-90

=(2490,2670)

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