Question

Ten people went on a diet for a month. The weight losses experienced (in pounds) are given below. The negative weight loss is a weight gain. Test the hypothesis that the mean weight loss was more than 0, using a significance level of 0.05. Assume the population distribution is Normal. 3, 7, 10, 0, 3, 7, 5, 5, 1, and negative 3

Answer #1

Values ( X ) | ||

3 | 0.64 | |

7 | 10.24 | |

10 | 38.44 | |

0 | 14.44 | |

3 | 0.64 | |

7 | 10.24 | |

5 | 1.44 | |

5 | 1.44 | |

1 | 7.84 | |

-3 | 46.24 | |

Total | 38 | 131.6 |

Mean

Standard deviation

To Test :-

H0 :-

H1 :-

Test Statistic :-

t = 3.1425

Test Criteria :-

Reject null hypothesis if

Result :- Reject null hypothesis

Decision based on P value

P - value = P ( t > 3.1425 ) = 0.0059

Reject null hypothesis if P value <
level of significance

P - value = 0.0059 < 0.05 ,hence we reject null hypothesis

Conclusion :- Reject null hypothesis

There is sufficient evidence to support the claim that the mean weight loss was more than 0 at 5% significance level.

In a study of the effectiveness of a certain diet, 100 subjects
went on the diet for a period of six months. The sample mean weight
loss was 0.5 pound, with a sample standard deviation of 4
pounds.Can you conclude that the diet produces a mean weight loss
that is greater than 0? Use the α = 0.05 level of
significance.Perform the hypothesis test, make sure you follow each
step and show all your work.

A clinic offers a weight-reduction program. A review of its
records revealed the following weight losses, in pounds, for
a
random sample of 29 of its clients after the program:
6 14 0 5 3 2 3 0 3 0
5 7 0 4 8 7 6 5 7 6
8 0 0 0 4 2 0 5 3
Goodness-of-Fit Test
Shapiro-Wilk W Test
W Prob<W
0.899470 0.0095*
Note: Ho = The data is from the Normal distribution. Small p-values...

Are low-fat diets or low-carb diets more effective for weight
loss? A sample of 70 subjects went on a low-carbohydrate diet for
six months. At the end of that time, the sample mean weight loss
was 10.5 pounds with a sample standard deviation of 7.09 pounds. A
second sample of 76 subjects went on a low-fat diet. Their sample
mean weight loss was 18.0 with a standard deviation of 7.26. Can
you conclude that their was no difference in the...

A study was conducted to determine the effectiveness of a diet
program in reducing weight of obeys people. Eight randomly selected
patients were put on this diet and the amount of weight losses (in
pounds) were recorded. Suppose the sample mean and the sample
standard deviation of weight losses were 38 and 4.598136 pounds,
respectively. Construct a 90% confidence interval for the average
weight loss and based on the confidence interval constructed
determine if you would expect to see an...

A study was conducted to determine the effectiveness of a diet
program in reducing weight of obeys people. Eight randomly selected
patients were put on this diet and the amount of weight losses (in
pounds) were recorded. Suppose the sample mean and the sample
standard deviation of weight losses were 36 and 5.291503 pounds,
respectively. Construct a 90% confidence interval for the average
weight loss and based on the confidence interval constructed
determine if you would expect to see an...

are low fat diets or low carb diets more effective for weight
loss? a sample of 70 subjects went on a low carbohydrate diet for 6
months. a the end of that time, the sample mean weight loss was
10.5 pounds with a sample standard deviation of 7.09 pounds. a
second sample of 76 subjects went on a low fat diet. their sawith a
sample mean weight loss was 18.0 with a standard deviation of 7.26.
test the claim that...

Children of a certain age are known to have a mean weight of
85 pounds. A complaint is
made that the children living in a municipal home are overfed.
As one bit of evidence, 25
randomly selected children are weighed and found to have a
mean weight of 87 pounds. It is
known that the population standard deviation is 11.6 pounds.
Is there convincing evidence
at 0.05 significance level that mean weight of the children is
greater than 85 pounds?...

A weight-loss company wants to make sure that it's clients lose
more weight, on average, than they would without the company's
help. An independent researcher collects data on the amount of
weight lost in one month from 45 of the company's clients and finds
a mean weight loss of 12 pounds. The population standard deviation
for the company's clients is known to be 7 pounds per month. Data
from 50 dieters not using the company's services reported a mean
weight...

You are interested in the weight gain of the Auburn Freshman.
You think that the average weight gain of the Auburn Freshman
student is not 15 pounds. You collect a random sample of
measurements. The weight gains are (a negative value indicates a
weight loss):
9, 19, 10, 18, 14, 11
You may assume for the following questions that the distribution
of weight gain is normal.
(a) State the appropriate hypothesis test. (This was done before
collecting the data)
Null...

A diet center claims that it has the most effective weight loss
program in the region. Its advertisements say, “Participants in our
program lose more than 7 pounds within a month.” Six clients of
this program are weighed on the first day of the diet and then one
month later. Let the difference be defined as Weight on First Day
of Diet minus Weight One Month Later. (You may find it useful to
reference the appropriate table: z table or...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 2 minutes ago

asked 4 minutes ago

asked 5 minutes ago

asked 5 minutes ago

asked 6 minutes ago

asked 6 minutes ago

asked 10 minutes ago

asked 10 minutes ago

asked 17 minutes ago

asked 17 minutes ago

asked 18 minutes ago