Small_sedan 55 57 57 55 49 Medium Sedan 61 61 56 65 57 64 Large Sedan 70 76 70 72 76 76 Suv 4WD 74 77 65 65 MiniVan 63 60 57 68 62 The table available below shows the costs per mile (in cents) for a sample of automobiles. At alphaαequals=0.01, can you conclude that at least one mean cost per mile is different from the others? Let muμSS, muμMS, muμLS, muμSUV and muμMV represent the mean costs per mile for small sedans, medium sedans, large sedans, SUV 4WDs, and minivans respectively. What are the hypotheses for this test? A. H0: muμSSnot equals≠muμMSnot equals≠muμLSnot equals≠muμSUVnot equals≠muμMV Ha: muμSSequals=muμMSequals=muμLSequals=muμSUVequals=muμMV B. H0: muμSSequals=muμMSequals=muμLSequals=muμSUVequals=muμMV Ha: muμSSnot equals≠muμMSnot equals≠muμLSnot equals≠muμSUVnot equals≠muμMV C. H0: Not all the means are equal. Ha: muμSSequals=muμMSequals=muμLSequals=muμSUVequals=muμMV D. H0: muμSSequals=muμMSequals=muμLSequals=muμSUVequals=muμMV Ha: Not all the means are equal. What is the test statistic? FSTATequals=Blank (Round to two decimal places as needed.) What is the P-value? P-valueequals=Blank (Round to three decimal places as needed.) What is the correct conclusion? ▼ Reject Do not reject H0. There ▼ is not is enough evidence to conclude that mean costs per mile vary across the automobile types.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

Small_sedan 55 57 57 55 49

Medium Sedan 61 61 56 65 57 64

Large Sedan 70 76 70 72 76 76

Suv 4WD 74 77 65 65

MiniVan 63 60 57 68 62

The table available below shows the costs per mile (in cents) for a sample of automobiles. At

alphaαequals=0.01,

can you conclude that at least one mean cost per mile is different from the others?

Let

muμSS,

muμMS,

muμLS,

muμSUV

and

muμMV

represent the mean costs per mile for small sedans, medium sedans, large sedans, SUV 4WDs, and minivans respectively. What are the hypotheses for this test?

H0:

muμSSnot equals≠muμMSnot equals≠muμLSnot equals≠muμSUVnot equals≠muμMV

Ha:

muμSSequals=muμMSequals=muμLSequals=muμSUVequals=muμMV

H0:

muμSSequals=muμMSequals=muμLSequals=muμSUVequals=muμMV

Ha:

muμSSnot equals≠muμMSnot equals≠muμLSnot equals≠muμSUVnot equals≠muμMV

H0:

Not all the means are equal.

Ha:

muμSSequals=muμMSequals=muμLSequals=muμSUVequals=muμMV

H0:

muμSSequals=muμMSequals=muμLSequals=muμSUVequals=muμMV

Ha:

Not all the means are equal.

What is the test statistic?

FSTATequals=Blank

(Round to two decimal places as needed.)

What is the P-value?

P-valueequals=Blank

(Round to three decimal places as needed.)

What is the correct conclusion?

▼

Reject

Do not reject

H0.

There

▼

is not

enough evidence to conclude that mean costs per mile vary across the automobile types.

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