Answered: The accompanying data table compares…

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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Related questions

Question

The accompanying data table compares the prices of some kitchen staples at two grocery stores, A and B. Complete parts (a) to (d).

Click the icon to view the data table.

At the

0.10

level of significance, is there evidence of a difference in the mean prices between store A and store B?

Let

μ1

be the mean price at store A and

μ2

be the mean price at store B. Determine the null and alternative hypotheses for this test.

H0:

μD=0

(where

μD=μ1−μ2)

H1:

μD≠0

H0:

μD≥0

(where

μD=μ1−μ2)

H1:

μD<0

H0:

μD≠0

(where

μD=μ1−μ2)

H1:

μD=0

H0:

μD≤0

(where

μD=μ1−μ2)

H1:

μD>0

The test statistic is

tSTAT=enter your response here.

(Round to two decimal places as needed.)

The critical value(s) is(are)

enter your response here.

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

Since the test statistic

▼

the critical value(s),

▼

reject

do not reject

H0.

There is

▼

evidence to conclude that the mean price is different at store A than at store B.

What assumption is necessary about the population distribution in order to perform this test?

It must be assumed that the distribution of the differences between the measurements is approximately uniform.

It must be assumed that the distribution of the differences between the measurements is skewed.

It must be assumed that the distribution of the differences between the measurements is approximately normal.

Determine the p-value in (a) and interpret its meaning.

The test statistic gives a p-value of

enter your response here.

(Round to two decimal places as needed.)

Interpret the meaning of the p-value in (a). Choose the correct answer below.

The p-value is the probability of obtaining a sample mean difference less extreme than this one if the population mean prices at the two stores are different.

The p-value is the probability of obtaining a sample mean difference at least as extreme as this one if the population mean prices at the two stores are the same.

The p-value is the probability of failing to reject the null hypothesis when it is actually false.

Construct a

90%

confidence interval estimate of the difference in the mean prices between the two stores.

The

90%

confidence interval estimate is

enter your response here≤μD≤enter your response here.

(Round to two decimal places as needed.)