To study the efficacy of a diet, five people’s weights were recorded before they started the...
To study the efficacy of a diet, five people’s weights were recorded before they started the diet and six months later. These are the results: Before 80 70 65 95 100
After. 72 69 67 81 88
Difference 8 1 −2 14 12
Assuming that the populations are normally distributed, a) Obtain a 95% confidence interval for the weight loss. b) Test the hypothesis that the diet is effective and promotes weight loss.
Homework Answers
Let us denote the difference
d = weight before - weight after
a)
b)
Since the mean difference is significantly greater than 0, there is sufficient evidence to conclude that the diet is effective and promotes weight loss.
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To study the efficacy of a diet, five people’s weights were
recorded before they started the...
To study the efficacy of a diet, five people's weights were recorded before they started the...
To study the efficacy of a diet, five people's weights were recorded before they started the diet and six months later. These are the results: Before 80 70 65 95 100 After 72 69 67 81 88 Difference 8 -2 14 12 a) Test the hypothesis that the diet is effective and promotes weight loss. b) Obtain a 95% confidence interval for the weight loss.
Diet Regular Data on the weights (lb) of the contents of cans of diet soda versus...
Diet Regular Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Cixon 21 0.78134 lb 0.00443 lb H2 21...
Data on the weights (lb) of the contents of cans of diet soda versus the contents...
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Diet Regular muμ mu 1μ1 mu 2μ2 n 3838 3838...
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent si...
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Diet Reqular μ2 26 0.81485 Ib 0.00755 lb 26 0.78439...
Data on the weights (lb) of the contents of cans of diet soda versus the contents...
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal Complete the parts below. Use a 0.05 significance level Test the claim that the contents of cans ol Giet seda have weights with a...
The water diet requires one to drink two cups of water every half hour from when...
The water diet requires one to drink two cups of water every half hour from when one gets up until one goes to bed, but otherwise allows one to eat whatever one likes. Four adult volunteers agree to test the diet. They are weighed prior to the diet and after six weeks on the diet. The weights (in pounds) are as follows: ovoce Person 1 2 3 4 Weight before the diet|180125240150 Weight after six weeks 170 130215 152 Difference...
B?? Data on the weights (b) of the contents of cans of diet soda versus the...
B??
Data on the weights (b) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet 38 0.78178 lb 0.00443 lb μ2 38 0.80874...
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of...
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet Regular H2 25 x 25 0.78225 lb .00449 lb...
A diet center claims that it has the most effective weight loss program in the region. Its advert...
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 2 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...
A diet center claims that it has the most effective weight loss program in the region....
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 4 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...
To study the efficacy of a diet, five people's weights were recorded before they started the diet and six months later. These are the results: Before 80 70 65 95 100 After 72 69 67 81 88 Difference 8 -2 14 12 a) Test the hypothesis that the diet is effective and promotes weight loss. b) Obtain a 95% confidence interval for the weight loss.
Diet Regular Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Cixon 21 0.78134 lb 0.00443 lb H2 21...
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Diet Reqular μ2 26 0.81485 Ib 0.00755 lb 26 0.78439...
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal Complete the parts below. Use a 0.05 significance level Test the claim that the contents of cans ol Giet seda have weights with a...
The water diet requires one to drink two cups of water every half hour from when one gets up until one goes to bed, but otherwise allows one to eat whatever one likes. Four adult volunteers agree to test the diet. They are weighed prior to the diet and after six weeks on the diet. The weights (in pounds) are as follows: ovoce Person 1 2 3 4 Weight before the diet|180125240150 Weight after six weeks 170 130215 152 Difference...
B??
Data on the weights (b) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet 38 0.78178 lb 0.00443 lb μ2 38 0.80874...
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet Regular H2 25 x 25 0.78225 lb .00449 lb...
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 2 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...
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 4 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...
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