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 30 Model A washing machines is $206. Assume the population standard deviation is $17. The mean repair cost of 26 Model B washing machines is $220. Assume the population standard deviation is $21 At alpha equals 0.01 commaα=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 Upper H 0H0 and Upper H Subscript aHa. 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 equal. C. The mean repair cost for Model A is greater than Model B. D. The mean repair costs for Model A and Model B are different. Let mu 1μ1 be the mean repair cost for Model A and let mu 2μ2 be the mean repair cost for Model B. What are Upper H 0H0 and Upper H Subscript aHa? A. Upper H 0H0: mu 1μ1greater than or equals≥mu 2μ2 Upper H Subscript aHa: mu 1μ1less thanmu 2μ2 E. Upper H 0H0: mu 1μ1greater than>mu 2μ2 Upper H Subscript aHa: mu 1μ1less than or equals≤mu 2μ2 F. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H Subscript aHa: mu 1μ1not equals≠mu 2μ2 (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. zless thannothing B. zless thannothing (c) Find the standardized test statistic z for mu 1μ1minus−mu 2μ2. zequals=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. A. Fail to reject Upper H 0H0. The standardized test statistic isis in a rejection region. B. Reject Upper H 0H0. The standardized test statistic isis in a rejection region. C. Fail to reject Upper H 0H0. The standardized test statistic is not in a rejection region. D. RejectReject Upper H 0H0. The standardized test statistic is not in a rejection region. (e) Interpret the decision in the context of the original claim. At the nothing% significance level, there is ▼ insufficient sufficient evidence to ▼ support reject the claim that the mean repair costs for Model A are ▼ different from equal to greater than less than the mean repair costs for Model B. Click to select your answer(s).

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 30 Model A washing machines is $206. Assume the population standard deviation is $17. The mean repair cost of 26 Model B washing machines is $220. Assume the population standard deviation is $21 At alpha equals 0.01 commaα=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 Upper H 0H0 and Upper H Subscript aHa. 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 equal. C. The mean repair cost for Model A is greater than Model B. D. The mean repair costs for Model A and Model B are different. Let mu 1μ1 be the mean repair cost for Model A and let mu 2μ2 be the mean repair cost for Model B. What are Upper H 0H0 and Upper H Subscript aHa? A. Upper H 0H0: mu 1μ1greater than or equals≥mu 2μ2 Upper H Subscript aHa: mu 1μ1less thanmu 2μ2 E. Upper H 0H0: mu 1μ1greater than>mu 2μ2 Upper H Subscript aHa: mu 1μ1less than or equals≤mu 2μ2 F. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H Subscript aHa: mu 1μ1not equals≠mu 2μ2 (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. zless thannothing B. zless thannothing (c) Find the standardized test statistic z for mu 1μ1minus−mu 2μ2. zequals=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. A. Fail to reject Upper H 0H0. The standardized test statistic isis in a rejection region. B. Reject Upper H 0H0. The standardized test statistic isis in a rejection region. C. Fail to reject Upper H 0H0. The standardized test statistic is not in a rejection region. D. RejectReject Upper H 0H0. The standardized test statistic is not in a rejection region. (e) Interpret the decision in the context of the original claim. At the nothing% significance level, there is ▼ insufficient sufficient evidence to ▼ support reject the claim that the mean repair costs for Model A are ▼ different from equal to greater than less than the mean repair costs for Model B. Click to select your answer(s).

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

$206.

Assume the population standard deviation is

$17.

The mean repair cost of

Model B washing machines is

$220.

Assume the population standard deviation is

$21

alpha equals 0.01 commaα=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

Upper H 0H0

and

Upper H Subscript aHa.

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 equal.

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

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

Let

mu 1μ1

be the mean repair cost for Model A and let

mu 2μ2

be the mean repair cost for Model B. What are

Upper H 0H0

and

Upper H Subscript aHa?

Upper H 0H0:

mu 1μ1greater than or equals≥mu 2μ2

Upper H Subscript aHa:

mu 1μ1less than<mu 2μ2

Upper H 0H0:

mu 1μ1not equals≠mu 2μ2

Upper H Subscript aHa:

mu 1μ1equals=mu 2μ2

Upper H 0H0:

mu 1μ1less than<mu 2μ2

Upper H Subscript aHa:

mu 1μ1greater than or equals≥mu 2μ2

Upper H 0H0:

mu 1μ1less than or equals≤mu 2μ2

Upper H Subscript aHa:

mu 1μ1greater than>mu 2μ2

Upper H 0H0:

mu 1μ1greater than>mu 2μ2

Upper H Subscript aHa:

mu 1μ1less than or equals≤mu 2μ2

Upper H 0H0:

mu 1μ1equals=mu 2μ2

Upper H Subscript aHa:

mu 1μ1not equals≠mu 2μ2

(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.)

zless than<nothing,

zgreater than>nothing

zless than<nothing

zgreater than>nothing

mu 1μ1minus−mu 2μ2.

zequals=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.

Fail to reject

Upper H 0H0.

The standardized test statistic

isis

in a rejection region.

Reject

Upper H 0H0.

The standardized test statistic

isis

in a rejection region.

Fail to reject

Upper H 0H0.

The standardized test statistic

is not

in a rejection region.

RejectReject

Upper H 0H0.

The standardized test statistic

is not

in a rejection region.

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

At the

nothing%

significance level, there is

▼

insufficient

sufficient

evidence to

▼

support

reject

the claim that the mean repair costs for Model A are

▼

different from

equal to

greater than

less than

the mean repair costs for Model B.

Click to select your answer(s).

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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