You have a sample of 35 observations (n = 35) and have computed a 2-sided confid

Question

You have a sample of 35 observations (n = 35) and have computed a 2-sided confidence interval on mu when sigma is known to be 4. Your boss says it's too wide. Whish of the following can you do to narrow the interval? Use the t-distribution instead of the normal distribution and this will make it better. Increase the number of samples and recomputed the interval Decrease the alpha level for computing the interval use a one-sided interval as there are always narrower than 2 sided interval. Consider the following fat content in a sample of n = 10 hot dogs randomly selected: n = 1 n = 2 n = 3 n = 4 n = 5 n = 6 n = 7 n = 8 n = 9 n = 10 23 21 27 19 33 25 26 16 30 25 Assuming the population is normally distributed, what is the 90% confidence interval for the population mean. (20, 579, 26, 421) (21.579, 27.421) (19, 579, 28, 421) None of the above Consider the following fat content in a sample of n = 10 hot dogs randomly selected: n = 1 n = 2 n = 3 n = 4 n = 5 n = 6 n = 7 n = 8 n = 9 n = 10 23 21 27 19 33 25 26 16 30 25 Assuming the population is normally distributed, what is the 90% confidence interval for the next hot dog selected.

Explanation / Answer

3)option : incerase the number of samples aqnd recompute the interval is correct

4)

for 90% CI and 9 degree of freedom ; t=1.833

therefore 90% confidence interval =sample mean -/+ t*std error =21.579 ; 27.421

5)

for prediction interval:

std error =std deviation*(1+1/n)1/2 =5.285

therefore prediction interval =sample mean -/+ t*std error = 14.813 ; 34.187

X 23 21 27 19 33 25 26 16 30 25 mean(X) 24.500 std deviation(S) 5.039 std error =S/(n)1/2 1.593 t=(X-mean)/std error 15.376

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