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Mathematics 22 Online
OpenStudy (daniellelovee):

from a normally distributed population, a simple random sample of size 30 is taken. The mean of the sample is 144 and the standard deviation of the sample is 12. Which interval is the 90% confidence interval for the population mean? @directrix

Directrix (directrix):

Did you get this? I'm testing an online calculator. Results Confidence Interval: ±3.6 Range for the true population mean: 140.4 to 147.6

OpenStudy (daniellelovee):

where did you find that calculator! that is amazing

Directrix (directrix):

The thing about any of these online calculators is whether they give correct results.

Directrix (directrix):

So, are you and the Stats calculator in agreement?

OpenStudy (daniellelovee):

yes it seems correct to me thank you veryy much :)

Directrix (directrix):

It was a serendipitous find. The calc may be helpful.

OpenStudy (daniellelovee):

yes it is very much :) and I have one last question just give me a second to type it down :)

Directrix (directrix):

I thought you had four questions.

OpenStudy (daniellelovee):

yes but thanks to the calculator I only have one more :)

OpenStudy (daniellelovee):

Suppose a research team takes a simple random sample of 100 Parma wallabies. In this sample, the tails of the wallabies have a mean length of 46 centimeters and a standard deviation of 2.6 centimeters.

OpenStudy (daniellelovee):

What percent of the time would you expect a simple random sample of 100 Parma wallabies to have a sample mean that is not in the 95% confi dence interval?

OpenStudy (daniellelovee):

@Directrix

OpenStudy (daniellelovee):

would it be any number outside of the range of -0.51 and +0.51

Directrix (directrix):

I>>What percent of the time Is the answer supposed to be a percentage?

OpenStudy (daniellelovee):

yes

OpenStudy (daniellelovee):

I have 10% 2.5% 5% 0%

Directrix (directrix):

>>t is not in the 95% confi dence interval? 100% = 95% = 5% of the time is what I think. --> Outside means below or above the confidence interval. 2.5% of the time the mean will be above the confidence interval.

Directrix (directrix):

Did you go with 5% ?

OpenStudy (daniellelovee):

I actually thought it was 10%

Directrix (directrix):

2.5% on either side so 2*2.5% = 5% is how I am thinking. Go with your thinking.

OpenStudy (daniellelovee):

idk is confusing to me do you have someone to ask for a second opinion?

Directrix (directrix):

5%

Directrix (directrix):

There will be others who know on later tonight. I'll ask then.

OpenStudy (daniellelovee):

nah dont worry but then 5% or 2.5%

OpenStudy (daniellelovee):

??

OpenStudy (daniellelovee):

@Nnesha your opinion pls

Directrix (directrix):

I am sticking with this: 5%

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