Question

A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distributions follow the normal probability distribution and the population standard deviations are not equal. The information is summarized below. At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month?

Statistic | Men | Women |

Sample mean | 23.81 | 21.97 |

Sample standard deviation |
5.67 | 4.61 |

Sample size | 32 | 36 |

Compute the value of the test statistic. (Round your
answer to 3 decimal places.) |

Value of the test statistic |

3. |
What is the p-value? (Round your answer to 4
decimal places.) |

p-value |

Answer #1

Given that,

For Men :

For Women :

The null and the alternative hypotheses are,

Using TI-84 calculator, we get,

Test statistic = t = 1.457

p-value = 0.1504

A recent study focused on the number of times men and women who
live alone buy take-out dinner in a month. Assume that the
distributions follow the normal probability distribution and the
population standard deviations are equal. The information is
summarized below.
Statistic
Men
Women
Sample mean
23.81
21.97
Sample standard deviation
5.67
4.61
Sample size
32
36
At the 0.01 significance level, is there a difference in the
mean number of times men and women order take-out dinners in...

A recent study focused on the number of times men and women who
live alone buy take-out dinner in a month. Assume that the
distributions follow the normal probability distribution and the
population standard deviations are equal. The information is
summarized below.
Statistic
Men
Women
Sample mean
25.24
21.73
Sample standard
deviation
5.53
4.54
Sample size
34
37
At the 0.01 significance level, is there a difference in the
mean number of times men and women order take-out dinners in...

A recent study focused on the number of times men and women who
live alone buy take-out dinner in a month. Assume that the
distributions follow the normal probability distribution and the
population standard deviations are equal. The information is
summarized below.
Statistic
Men
Women
Sample mean
25.73
22.50
Sample standard
deviation
5.76
4.69
Sample size
32
37
At the 0.01 significance level, is there a difference in the
mean number of times men and women order take-out dinners in...

A recent study focused on the number of times men and women who
live alone buy take-out dinner in a month. Assume that the
distributions follow the normal probability distribution and the
population standard deviations are equal. The information is
summarized below.
Statistic
Men
Women
Sample mean
24.71
21.94
Sample standard deviation
5.53
4.71
Sample size
36
41
At the 0.01 significance level, is there a difference in the
mean number of times men and women order take-out dinners in...

A recent study focused on the number of times men and women who
live alone buy take-out dinner in a month. Assume that the
distributions follow the normal probability distribution and the
population standard deviations are equal. The information is
summarized below.
Statistic
Men
Women
Sample mean
24.04
22.27
Sample standard deviation
5.88
4.79
Sample size
37
41
At the 0.01 significance level, is there a difference in the
mean number of times men and women order take-out dinners in...

A recent study focused on the number of times men and women who
live alone buy take-out dinner in a month. Assume that the
distributions follow the normal probability distribution and the
population standard deviations are equal. The information is
summarized below.
Statistic
Men
Women
Sample mean
24.38
22.36
Sample standard deviation
5.91
4.80
Sample size
33
37
At the 0.01 significance level, is there a difference in the
mean number of times men and women order take-out dinners in...

A recent study focused on the number of times men and women who
live alone buy take-out dinner in a month. Assume that the
distributions follow the normal probability distribution and the
population standard deviations are equal. The information is
summarized below.
Statistic
Men
Women
Sample mean
25.57
22.33
Sample standard deviation
5.58
4.95
Sample size
36
40
At the 0.01 significance level, is there a difference in the
mean number of times men and women order take-out dinners in...

A recent study focused on the number of times men and women who
live alone buy take-out dinner in a month. Assume that the
distributions follow the normal probability distribution and the
population standard deviations are equal. The information is
summarized below.
Statistic
Men
Women
Sample mean
24.38
22.36
Sample standard deviation
5.91
4.80
Sample size
33
37
At the 0.01 significance level, is there a difference in the
mean number of times men and women order take-out dinners in...

A recent study focused on the number of times men and women who
live alone buy take-out dinner in a month. Assume that the
distributions follow the normal probability distribution and the
population standard deviations are equal. The information is
summarized below.
Statistic
Men
Women
Sample mean
25.45
22.04
Sample standard deviation
5.91
4.68
Sample size
37
40
At the 0.01 significance level, is there a difference in the
mean number of times men and women order take-out dinners in...

A recent study focused on the number of times men and women who
live alone buy take-out dinner in a month. Assume that the
distributions follow the normal probability distribution and the
population standard deviations are equal. The information is
summarized below. Statistic Men Women Sample mean 24.26 22.45
Sample standard deviation 5.91 4.88 Sample size 35 39 At the 0.01
significance level, is there a difference in the mean number of
times men and women order take-out dinners in...

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