Answered: least 21 miles per gallon (mpg). You…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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I need help with a stats problem, section 7.2 and 7.3, Please help with TI-84 calculator commands, thanks

A car company says that the mean gas mileage for its luxury sedan is at least

miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of

cars has a mean gas mileage of

mpg and a standard deviation of

mpg. At

α=0.10,

test the company's claim. Assume the population is normally distributed.

Which sampling distribution should be used and why?

A. Use a t-sampling distribution because the population is normal, and

is known.

B. Use a t-sampling distribution because

n<30.

C. Use a normal sampling distribution because the population is normal, and

is unknown.

Use a normal sampling distribution because the population is normal, and

is known.

E. Use a normal sampling distribution because

n>30.

F. Use a t-sampling distribution because the population is normal, and

is unknown

Write the appropriate hypotheses to test.

What is the value of the standarized test statistic?

The standardized test statistic is _____________ (round to 2 decimal places as needed)

What is the critical value?

The critical value is _____________ (round to 2 decimal places as needed)

What is outcome and conclusion of this test?

(1) ___________ (reject or fail to reject) Ho. AT the 10% significance level there is (2) __________ ( insufficient or sufficient) evidence to (3) ______________ (support or reject) the car company's claim that the mean gas mileage for the luxury sedan is at least 21 miles per gallon.

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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