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A data set includes the counts of chocolate chips from three different types of Chips Ahoy cookies. The accompanying StatCrunch display shows results from analysis

A data set includes the counts of chocolate chips from three different types of Chips Ahoy cookies. The accompanying StatCrunch display shows results from analysis of variance used with those three types of cookies. Use a

0.05

significance level to test the claim that the three different types of cookies have the same mean number of chocolate chips.

ANOVA table

Source

DF

SS

MS

F-Stat

P-value

Columns

2

1185.9875

592.99375

59.4164

<0.0001

Error

77

768.48333

9.9803030

Total

79

1954.4708

Question content area bottom

Part 1

Determine the null hypothesis.

H0:

At least one of the means is different from the othersAtleastoneofthemeansisdifferentfromtheothers

mu 1 greater than mu 2 greater than mu 31>2>3

mu 1 equals mu 2 equals mu 31=2=3

All of the means are differentAllofthemeansaredifferent

mu 1 less than mu 2 less than mu 31<2<3

Part 2

Determine the alternative hypothesis.

H1:

At least one of the means is different from the othersAtleastoneofthemeansisdifferentfromtheothers

mu 1 greater than mu 2 greater than mu 31>2>3

mu 1 equals mu 2 equals mu 31=2=3

mu 1 less than mu 2 less than mu 31<2<3

All of the means are differentAllofthemeansaredifferent

Part 3

Determine the test statistic.

The test statistic is

enter your response here.

(Round to two decimal places as needed.)

Part 4

Determine the P-value.

The P-value is

enter your response here.

(Round to three decimal places as needed.)

Part 5

What can you conclude?

There

is

is not

sufficient evidence at a

0.05

significance level to warrant rejection of the claim that the three different types of chocolate chip cookies have

different

the same

mean number of chocolate chips.

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