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.

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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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section 6.2, stats (help with TI-84 calculator is possible)

The gas mileages (in miles per gallon) of

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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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