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Sample of 400 male students are found to have a mean height 57.47 inches.can it be resonably regarded as a sample from a large population with a mean height 57.39inches and standard deviation 1.3 inches?Test at 5% level of Significance.

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At 95% confidence level the limits are 57.47 -1.96*1.3 and 57.47+1.96*1.3. so there is no reason to reject the hypothesis

Posted on Dec 30, 2014

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I need to find the a 95% confidence interval estimate for population mean. My SD is 100, sample sz. is 64, and sample mean is 350.


First you need the Std Error of the mean value, a measure of the dispersion of that mean value.

SE = sample std deviation / sqrt (sample size)
= 100 / sqrt (64)
= 100 / 8
= 12.5

Then we use a figure for the number of std errors either side of the mean value, which make up a 95 % confidence interval. This is ± 1.96 std errors, from tables of the Normal Distribution.

So the confidence interval is

350 ± 1.96 * 12.5 or

374.5 to 325.5
.

Dec 11, 2015 | Institute of Mathematics and Statistics...

2 Answers

Construct a 99 confidence interval for the population mean if my sample mean is 125, and Std Dev is 8, and population size is 64


First you need the Std Error of the mean value, a measure of the dispersion of that mean value.

SE = sample std deviation / sqrt (sample size)
= 8 / ? 64
= 1

Then we use a figure for the number of std errors either side of the mean value, which make up a 99 % confidence interval. This is ± 2.58 std errors, from tables of the Normal Distribution.

So the confidence interval is

125 ± 2.58 * 1 or

127.58 to 122.42
.

Dec 10, 2015 | Institute of Mathematics and Statistics...

2 Answers

In my random sample I found 15 worms and 6 lady bugs in my pile of dirt.in my backyard I have a total of 1,200 worms.what do I know about the sample?What do I know about the population?how many total...


Oh geeze,, you have 480 ladybugs in all?!!!
That makes a total combined population of 1,680 critters!
And why did you only take a 1.25% sample?!!

But maybe ladybugs like living in dirt piles better than other backyard areas, so you might not have that many! ;)

Nov 07, 2014 | Office Equipment & Supplies

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