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

15. 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 a0.05 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

1122.8875

561.44375

61.0653

<0.0001

Error

77

707.95000

9.1941558

Total

79

1830.8375

H1:

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

At least one of the means is different from the othersAtleastoneofthemeansisdifferentfromtheothers

All of the means are differentAllofthemeansaredifferent

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

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

Part 3

Determine the test statistic.

The test statistic is

enter your response here.

(Round to two decimal places asneeded.)

Part 4

Determine theP-value.

TheP-value is

enter your response here.

(Round to three decimal places asneeded.)

Part 5

What can youconclude?

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

the same

different

mean number of chocolate chips.

16. Here are 6 celebrities with some of the highest net worths(in millions ofdollars) in a recentyear:GeorgeLucas(5500),StevenSpielberg(3700),OprahWinfrey(3200),MichaelJordan(1700),DavidCopperfield(1000),andJerrySeinfeld(950)

.

Find therange, variance, and standard deviation for the sample data. What do the results tell us about the population of allcelebrities?Based on the nature of theamounts, what can be inferred about theirprecision?

Question content area bottomPart 1

The range is$enter your response heremillion.

(Round to the nearest integer asneeded.)

Part 2

The variance isenter your response heremillion dollars squared.

(Round to the nearest integer asneeded.)

Part 3

The standard deviation is$enter your response heremillion.

(Round to the nearest integer asneeded.)

Part 4

What do the results tell us about the population of allcelebrities?

A.

Because the statistics are calculated from thedata, the measures of variation are typical for all celebrities.

B.

Because the data are from celebrities with the highest networths, the measures of variation are typical for all celebrities.

C.

Because the data are from celebrities with the highest networths, the measures of variation are not at all typical for all celebrities.

D.

Because the statistics are calculated from thedata, the measures of variation cannot tell us about other celebrities.

Part 5

Based on the nature of theamounts, what can be inferred about theirprecision?

Because all of the amounts end with

0,

5,

00,

50,

it appears that they are rounded to the nearest

ten million dollars,

hundred thousand dollars,

hundred million dollars,

million dollars,

so it would make sense to round the results to the nearest

million dollars.

hundred thousand dollars.

hundred million dollars.

ten million dollars.

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