MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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section 6.2, stats (help with TI-84 calculator is possible)

The gas mileages​ (in miles per​ gallon) of

23

randomly selected sports cars are listed in the accompanying table. Assume the mileages are not normally distributed. Use the standard normal distribution or the​ t-distribution to construct a

90​%

confidence interval for the population mean. Justify your decision. If neither distribution can be​ used, explain why. Interpret the results.

Here are the sports car mileage averages: 19,28,19,17,20,22,16,24,27.20,18,26,25,24,18,16,20,22,20,18,24,19,17

Let standard deviation stand for population standard deviation and let n be the sample size.  which distribution should be used to construct the confidence interval?

1) A (t-distribution, the standard normal distribution should, or neither distribution can) be used to construct the confidence interval, since 2) is (stanard dev. and n greater than or equal to 10., standard is unknown and the population is not normally distributed., standard dev. is unknown., standard dev. is unknown and n<30., standard dev. is known and the population is not normally distributed., standard dev. is known and n<30., standard dev. is known and n> or equal to 10., the population is not normally distributed and n<30. OR the population is not normally distributed and n> or equal to 10.)

Identify the confidence interval.  Select the correct choice below and if necessary, fill in the answer box to complete your choice.

A. (____________ , ______________) (round to one decimal place)

B. Neither the standard normal distribution nor the t-distribution can be used to construct the interval.

Interpret the results.  Select the correct choice below and if necessary fill in the answer box to complete your choice.

A. With ____________ % confidence, it can be said that the mean gas mileage of all sport cars (in miles per gallon) (type an integer or a decimal, do not round)

B. With _____________ % confidence, it can be said that most sports cars in the population have gas mileages......(type on integer or a decimal, do not round)

C. It can be said that ________% of all sports cars have a gas mileage (in miles per gallon) that is between ........... (type an integer or a decimal, do not round)

D. ___% of all random samples of 23 sports cars from the population of all sports cars will have a ............ between the intervals endpoints.

(type an integer or a decimal do not round)

E. Neither the standard normal distribution nor the t-distribution can be used to construct the interval.

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