In: Statistics and Probability
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
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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