Question

In: Statistics and Probability

A​ fast-food chain sells drinks that they call HUGE. When we take a sample of 49...

A​ fast-food chain sells drinks that they call HUGE. When we take a sample of 49 drinks and weigh​ them, we find that the mean is 38.9 ounces with a standard deviation of 2.8 ounces. a. A technology input menu for calculating a confidence interval requires the sample​ mean, x overbar​, the sample standard​ deviation, Sx, and the sample​ size, n. State how you would fill in these numbers. b. Report the confidence interval in a carefully worded sentence.

a. Fill in the values below for x overbar​, ​Sx, and n. x overbar : nothing

Solutions

Expert Solution

a).the given data are:-

sample mean () 38.9
sample sd () 2.8
sample size (n) 49

b).degrees of freedom = (n-1) = (49-1)= 48

t critical value for df = 48,alpha=0.05, both tailed test be:-

[ using t distribution table]

the 95% confidence interval for the population mean is:-

interpretation:-

we are 95% confident that the true mean weight of drinks bottle will be within 38.096 ounces and 39.704 ounces

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