Question

A researcher wants to know if the mean times (in minutes) that people watch their favorite news station are the same. Suppose that the table below shows the results of a study.

CNN | FOX | Local |
---|---|---|

45 | 16 | 72 |

13 | 43 | 37 |

18 | 68 | 56 |

38 | 50 | 60 |

23 | 31 | 51 |

35 | 22 |

Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05. (Let 1 = CNN, 2 = FOX, and 3 = Local.)

1) Enter an exact number as an integer, fraction, or decimal.

df(num) =

2) Enter an exact number as an integer, fraction, or decimal.

df(denom) =

3) What is the test statistic? (Round your answer to two decimal places.)

4) What is the *p*-value? (Round your answer to four
decimal places.)

5) (i) Alpha (Enter an exact number as an integer, fraction, or decimal.)

Answer #1

The statistical software output for this problem is:

Hence,

1) df(num) = **2**

2) df(denom) = **14**

3) Test statistic = **4.12**

4) P - value = **0.0391**

5) Alpha = **0.05**

Are the means for the final exams the same for all statistics
class delivery types? The table below shows the scores on final
exams from several randomly selected classes that used the
different delivery types.
Online
Hybrid
Face-to-Face
72
84
80
83
73
79
76
85
85
81
82
80
82
86
79
81
Assume that all distributions are normal, the three population
standard deviations are approximately the same, and the data were
collected independently and randomly. Use a level...

The following table lists the number of pages in four different
types of magazines.
Home
decorating
News
Health
Computer
168
84
79
99
284
89
151
131
161
121
84
92
202
104
97
205
192
99
94
140
Using a significance level of 5%, test the hypothesis that the four
magazine types have the same average length. (Let 1 = Home
decorating, 2 = News, 3 = Health and 4 = Computer.)
A. Enter an exact number as an...

A graphing calculator is recommended.
The following table lists the number of pages in four different
types of magazines.
Home
decorating
News
Health
Computer
175
94
88
110
293
98
157
139
167
130
91
103
210
110
110
214
202
108
101
151
Using a significance level of 5%, test the hypothesis that the four
magazine types have the same average length. (Let 1 = Home
decorating, 2 = News, 3 = Health and 4 = Computer.)
A) Enter...

A grassroots group opposed to a proposed increase in the gas tax
claimed that the increase would hurt working-class people the most,
since they commute the farthest to work. Suppose that the group
randomly surveyed 24 individuals and asked them their daily one-way
commuting mileage. The results are below. Using a 5% significance
level, test the hypothesis that the three mean commuting mileages
are the same. (Let 1 = Working-class, 2 = Professional (middle
incomes), and 3 = Professional (wealthy).)...

A graphing calculator is recommended.
Three students, Linda, Tuan, and Javier, are given five laboratory
rats each for a nutritional experiment. Each rat's weight is
recorded in grams. Linda feeds her rats Formula A, Tuan feeds his
rats Formula B, and Javier feeds his rats Formula C. At the end of
a specified time period, each rat is weighed again, and the net
gain in grams is recorded. Using a significance level of 10%, test
the hypothesis that the three...

Three students, Linda, Tuan, and Javier, are given five
laboratory rats each for a nutritional experiment. Each rat's
weight is recorded in grams. Linda feeds her rats Formula A, Tuan
feeds his rats Formula B, and Javier feeds his rats Formula C. At
the end of a specified time period, each rat is weighed again, and
the net gain in grams is recorded. Using a significance level of
10%, test the hypothesis that the three formulas produce the same
mean...

Three students, Linda, Tuan, and Javier, are given five
laboratory rats each for a nutritional experiment. Each rat's
weight is recorded in grams. Linda feeds her rats Formula A, Tuan
feeds his rats Formula B, and Javier feeds his rats Formula C. At
the end of a specified time period, each rat is weighed again, and
the net gain in grams is recorded. Using a significance level of
10%, test the hypothesis that the three formulas produce the same
mean...

A graphing calculator is recommended.
A grassroots group opposed to a proposed increase in the gas tax
claimed that the increase would hurt working-class people the most,
since they commute the farthest to work. Suppose that the group
randomly surveyed 24 individuals and asked them their daily one-way
commuting mileage. The results are below. Using a 5% significance
level, test the hypothesis that the three mean commuting mileages
are the same. (Let 1 = Working-class, 2 = Professional (middle
incomes),...

The following table lists the number of pages in four different
types of magazines.
Home
decorating
News
Health
Computer
175
89
84
109
287
97
154
139
165
124
91
101
208
107
107
208
200
104
98
149
Using a significance level of 5%, test the hypothesis that the four
magazine types have the same average length. (Let 1 = Home
decorating, 2 = News, 3 = Health and 4 = Computer.)
Part (a)
State the null hypothesis.
H0:...

A six-sided die is rolled 120 times. Fill in the expected
frequency column. Then, conduct a hypothesis test at the 5% level
to determine if the die is fair. The data below are the result of
the 120 rolls. (Enter exact numbers as integers, fractions, or
decimals.)
Face Value
Frequency
Expected Frequency
1
14
?
2
32
?
3
15
?
4
15
?
5
30
?
6
14
?
Part (a)
State the null hypothesis. Choose 1 or 2...

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