Question
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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