A recent internal report indicated that the mean number of miles between oil changes for franchise customers is at least 3,600. One franchise owner conducted a study to determine whether this statement was accurate for his franchise's customers. He selected a simple random sample of 10 customers and determined the number of miles each had driven the car between oil changes. The sample data that were obtained is listed in the accompanying table. a. State the appropriate null and alternative hypotheses. b. Use the test statistic approach to test the null hypothesis with α=0.05 ----------------------- table 3,449 4,169 1,937 2,920 3,514 3,630 3,321 3,364 4,065 4,038 -------------------------------- Calculate the test statistic. The test statistic is nothing. (Round to two decimal places as needed.) State the conclusion. Choose the correct answer below. A. Reject the null hypothesis. There is sufficient evidence that the mean number of miles between oil changes for franchise customers is less than 3,600 miles. B. Do not reject the null hypothesis. There is not sufficient evidence that the mean number of miles between oil changes for franchise customers is less than 3,600 miles. C. Do not reject the null hypothesis. There is sufficient evidence that the mean number of miles between oil changes for franchise customers is less than 3,600 miles. D. Reject the null hypothesis. There is not sufficient evidence that the mean number of miles between oil changes for franchise customers is less than 3,600 miles.

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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A recent internal report indicated that the mean number of miles between oil changes for franchise customers is at least

3,600.

One franchise owner conducted a study to determine whether this statement was accurate for his franchise's customers. He selected a simple random sample of

customers and determined the number of miles each had driven the car between oil changes. The sample data that were obtained is listed in the accompanying table.

a. State the appropriate null and alternative hypotheses.

b. Use the test statistic approach to test the null hypothesis with

α=0.05

-----------------------

table

3,449
4,169
1,937
2,920
3,514
3,630
3,321
3,364
4,065
4,038

--------------------------------

Calculate the test statistic.

The test statistic is

nothing.

(Round to two decimal places as needed.)

State the conclusion. Choose the correct answer below.

Reject

the null hypothesis. There

sufficient evidence that the mean number of miles between oil changes for franchise customers is less than

3,600

miles.

Do not reject

the null hypothesis. There

is not

sufficient evidence that the mean number of miles between oil changes for franchise customers is less than

3,600

miles.

Do not reject

the null hypothesis. There

sufficient evidence that the mean number of miles between oil changes for franchise customers is less than

3,600

miles.

Reject

the null hypothesis. There

is not

sufficient evidence that the mean number of miles between oil changes for franchise customers is less than

3,600

miles.

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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