Question

The following data represents the calorie-content per 1/2-cup serving for 16 randomly selected flavours of Jen...

The following data represents the calorie-content per 1/2-cup serving for 16 randomly selected flavours of Jen and Berry's Ultra-Creamy Ice Cream:

         270, 150, 170, 140, 160, 160, 290, 190, 190, 160, 170, 150, 110, 180, 170, 185

It is also known that the samples are form the normal population with the standard deviation 45.

(a) What is the point estimate of mean for calorie-content per 1/2-cup serving? Calculate margin of error when ?=0.05

(b) Construct a 95% confidence interval for calorie-content per 1/2-cup serving. Interpret the confidence interval.

PLEASE SHOW ALL WORK, thank you! :)

Math   Statistics-And-Probability   
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Answer #1

(A) Point estimate is sample mean

sample mean = (sum of data values)/(number of data values)

= (270+150+170+140+160+160+290+190+190+160+170+150+110+180+170+185)/16

= 2845/16 = 177.8125

Margin of error = , where z = 1.96 for alpha 0.05, (given values)

(B) Confidence interval = E

CI = 177.8125 22.05

CI = (155.7625,199.8625)

We are 95% confident that the true mean  calorie-content per 1/2-cup serving is between 155.7625 and 199.8625

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