Mathematics, 09.04.2020 00:30, rebecca7415

A sample of 66 obese adults was put on a lowcarbohydrate diet for a year. The average weight loss was 11 lb and the standard deviation was 19 lb. Calculate a 99% lower confidence bound for the true average weight loss. What does the bound say about confidence that the mean weight loss is positive

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answered: c1100321311

$11-2.385\frac{19}{\sqrt{66}}=5.422$

So on this case the one lower 99% confidence interval would be given by (5.422;11)

And the lower bound for this case would be 5.422, and that means "the minimum value for the mean at 99% confidence for the mean"

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X - t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

df=n-1=66-1=65

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,65)".And we see that $t_{\alpha/2}=2.385$

Now we have everything in order to replace into formula (1):

$11-2.385\frac{19}{\sqrt{66}}=5.422$

So on this case the one lower 99% confidence interval would be given by (5.422;11)

And the lower bound for this case would be 5.422, and that means "the minimum value for the mean at 99% confidence for the mean"

answered: Guest

b, i believe, but not sure.

Can somebody me figure out the probability?

answered: Guest

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event

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A sample of 66 obese adults was put on a lowcarbohydrate diet for a year. The average weight loss wa...