You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of 28 Model A washing machines is $207. Assume the population standard deviation is $15. The mean repair cost of 24 Model B washing machines is $213. Assume the population standard deviation is $25. At α=0.01, can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state H0 and Ha. What is the claim? A. The mean repair cost for Model A is less than Model B. B. The mean repair costs for Model A and Model B are different. C. The mean repair costs for Model A and Model B are equal. D. The mean repair cost for Model A is greater than Model B. Let μ1 be the mean repair cost for Model A and let μ2 be the mean repair cost for Model B. What are H0 and Ha? A. H0: μ1≥μ2 Ha: μ1<μ2 B. H0: μ1≠μ2 Ha: μ1=μ2 C. H0: μ1=μ2 Ha: μ1≠μ2 D. H0: μ1≤μ2 Ha: μ1>μ2 E. H0: μ1<μ2 Ha: μ1≥μ2 F. H0: μ1>μ2 Ha: μ1≤μ2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are nothing. (Round to two decimal places as needed. Use a comma to separate answers as needed.) What is/are the rejection region(s)? Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) A. znothing B. znothing (c) Find the standardized test statistic z for μ1−μ2. z=nothing (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.

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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Question

You want to buy a washing machine, and a salesperson tells you that the mean repair costs for Model A and Model B are equal. You research the repair costs. The mean repair cost of

Model A washing machines is

$207.

Assume the population standard deviation is

$15.

The mean repair cost of

Model B washing machines is

$213.

Assume the population standard deviation is

$25.

α=0.01,

can you reject the salesperson's claim? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e).

(a) Identify the claim and state

and

Ha.

What is the claim?

The mean repair cost for Model A is less than Model B.

The mean repair costs for Model A and Model B are different.

The mean repair costs for Model A and Model B are equal.

The mean repair cost for Model A is greater than Model B.

Let

μ1

be the mean repair cost for Model A and let

μ2

be the mean repair cost for Model B. What are

and

Ha?

H0:

μ1≥μ2

Ha:

μ1<μ2

H0:

μ1≠μ2

Ha:

μ1=μ2

H0:

μ1=μ2

Ha:

μ1≠μ2

H0:

μ1≤μ2

Ha:

μ1>μ2

H0:

μ1<μ2

Ha:

μ1≥μ2

H0:

μ1>μ2

Ha:

μ1≤μ2

(b) Find the critical value(s) and identify the rejection region(s).

The critical value(s) is/are

nothing.

(Round to two decimal places as needed. Use a comma to separate answers as needed.)

What is/are the rejection region(s)? Select the correct choice below and fill in the answer box(es) within your choice.

(Round to two decimal places as needed.)

z<nothing,

z>nothing

z<nothing

z>nothing

μ1−μ2.

z=nothing

(Round to two decimal places as needed.)

(d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.

Reject

H0.

The standardized test statistic

is not

in a rejection region.

Fail to reject

H0.

The standardized test statistic

in a rejection region.

Fail to reject

H0.

The standardized test statistic

is not

in a rejection region.

Reject

H0.

The standardized test statistic

in a rejection region.

(e) Interpret the decision in the context of the original claim.

At the

nothing%

significance level, there is

▼

sufficient

insufficient

evidence to

▼

support

reject

the claim that the mean repair costs for Model A are

▼

greater than

different from

less than

equal to

the mean repair costs for Model B.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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