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A normally distributed population with mean of 46.2 and standard deviation 1.7. What is the probability if you draw a sample of size 25 from this population that the sample mean would be between 46 and 47?

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About 29%.

If this is homework, make sure to show your work.

Posted on Oct 16, 2013

  • kakima Oct 16, 2013

    Sorry, I typed that wrong. It's actually about 23%.

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SOURCE: Calculate true population mean and

Here are some tuts with the formulas to do it.

http://stattrek.com/Lesson4/Mean.aspx?Tutorial=Stat

once the mean is determined you can calculate the deviation

http://hubpages.com/hub/stddev

Posted on Apr 01, 2011

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The square root button is two up from the 9 key, just to the left of the divide key. To calculate the square root of 2, for example, press 2 square-root =

Posted on Jun 10, 2011

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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...

1 Answer

Deviation standard


For a sample this smaller size there are two std deviations. Sample std deviation s(n-1) = 0.550, and population std deviation s(n) = 0.541

Dec 22, 2013 | Audio Players & Recorders

1 Answer

Where is s on the ti-30xa calculator


If you mean the standard deviation, there are two shifted keys on the third row marked with a lower-case Greek sigma. sigma_xn is the population standard deviation and sigma_xn-1 is the sample standard deviation.

Nov 12, 2013 | Texas Instruments TI-30XA Calculator

1 Answer

How to i do std deviation and sample mean


Example: Enter the following x variables, and determine the sample and population standard deviations.
x = {1,2,3}
  • Press [DATA] and begin to enter the data as indicated into the L1, L2 or L3 lists. To input a data point, type the value and press [ENTER]. Press the down arrow key to move on to the next data point.
  • Press [2nd], [STAT], and then choose 1-VAR.
  • For the "DATA" option, choose the listname the data is stored in (L1, L2 or L3). For the "FRQ" option, choose "ONE" since this data does not include a frequency list.
  • Arrow down to "CALC" and press [ENTER].

    Answers should be as follows:
    3:Sx (Sample Standard Deviation) = 1
    4:sx (Population Standard Deviation) = 0.816497
  • Press [2nd] [MODE] to exit STAT mode.

Oct 20, 2010 | Texas Instruments TI30XS Scientific...

1 Answer

Does this calculator comes with a standard deviation or population standard deviation button


Yes. The sample standard deviation is 2nd [sigma x n-1] and the population standard deviation is 2nd [sigma x n].

Apr 02, 2010 | Texas Instruments TI-30XA Calculator

1 Answer

Question no. 2 For the 50 observation given below. Prepare Frequency Distribution for the the class interval is 10 (lower limit starting is 0) and upper limit is 80. Also plot in graphing. 64 62 52 50 70...


64 62 52 50 70 60 55 20 25 48 35 55 55 47 64 42 36 50 30 53 51 63 58 50 60 54 33 48 40 76 61 46 65 65 15 45 58 40 64 18 33 40 64 18 33 40 48 9 38 41

Highest value observed: 76
Lowest Value: 9
Standard deviation from the ungrouped data: 15.25
Frequency:
Mean: 46.94
Standard deviation from grouped data: 15.40

Oct 23, 2009 | Microsoft Excel for PC

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