National fuelsaver corporation manufactures the platinum gasaver, a device they claim "may increase gas mileage by 22%." here are the percent changes in gas mileage for 15 identical vehicles, as presented in one of the company's advertisements:

48.3 46.9 46.8 44.6 40.2 38.5 34.6 33.7
28.7 28.7 24.8 10.8 10.4 6.9 -12.4

would you recommend use of a t confidence interval to estimate the mean fuel savings in the population of all such vehicles? explain your answer.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

6 cm

step-by-step explanation: