19>The Weschler Intelligence Scale for Children (WISC) is an intelligence test designed for children between the ages of 6 and16. The test is standardized so that the mean score for all children is 100 and the standard deviation is 15.Suppose that the administrators of a very large and competitive school district wish to estimate the mean WISC score for allstudents enrolled in their programs for gifted and talented children. They obtained a random sample of 40 students currentlyenrolled in at 1least one program for gifted and talented children. The test scores for this sample are as follows:117, 142, 112,99, 107, 109, 109, 121, 121, 125, 116, 123, 110, 105, 110, 111,95, 128, 103, 106,155,98, 100, 123, 107, 137, 115, 127, 102, 106, 121, 113, 109, 128, 103, 105, 130, 134, 112, 102Click to download the data in your preferred format.CrunchIt! CSV Excel JMP Mac TextMinitab PC Text R SPSS TI CalcUse this data to calculate the mean WISC score, x, for these 40 students. Next, compute the standard deviation, SD, of thesampling distribution of the sample mean, assuming that the standard deviation of WISC scores for students in the districtis the same as for the population as a whole. Finally, determine both the lower and upper limits of a 99% z-confidenceinterval for u, the mean score for all students in the school district who are enrolled in gifted and talented programs.about usprivacy policyterms of usecareerscontact ushelpENG f 19>Click to download the data in your preferred format.CrunchIt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI CalcUse this data to calculate the mean WISC score, x, for these 40 students. Next, compute the standard deviation, SD, of thesampling distribution of the sample mean, assuming that the standard deviation of WISC scores for students in the districtis the same as for the population as a whole. Finally, determine both the lower and upper limits of a 99% z-confidenceinterval for u, the mean score for all students in the school district who are enrolled in gifted and talented programs.Give x and the limits of the confidence interval precise to one decimal place, but give the standard deviation to at least threedecimal places in order avoid rounding errors when computing the limits.SD =Lower limitUpper limit =about usprivacy policyterms of usecontact ushelpcareersENG

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Asked Nov 11, 2019
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The Weschler Intelligence Scale for Children (WISC) is an intelligence test designed for children between the ages of 6 and 16. The test is standardized so that the mean score for all children is 100 and the standard deviation is 15.

Suppose that the administrators of a very large and competitive school district wish to estimate the mean WISC score for all students enrolled in their programs for gifted and talented children. They obtained a random sample of 40 students currently enrolled in at least one program for gifted and talented children. The test scores for this sample are as follows:

 

117,142,112,99,107,109,109,121,121,125,116,123,110,105,110,111,95,128,103,106,
155,98,100,123,107,137,115,127,102,106,121,113,109,128,103,105,130,134,112,102

Click to download the data in your preferred format.  

 

CrunchIt!    CSV   Excel   JMP   Mac Text    Minitab   PC Text   R   SPSS   TI Calc  

Use this data to calculate the mean WISC score, x¯, for these 40 students. Next, compute the standard deviation, SD, of the sampling distribution of the sample mean, assuming that the standard deviation of WISC scores for students in the district is the same as for the population as a whole. Finally, determine both the lower and upper limits of a 99% z-confidence interval for μ, the mean score for all students in the school district who are enrolled in gifted and talented programs.

Give x¯ and the limits of the confidence interval precise to one decimal place, but give the standard deviation to at least three decimal places in order avoid rounding errors when computing the limits.

19>
The Weschler Intelligence Scale for Children (WISC) is an intelligence test designed for children between the ages of 6 and
16. The test is standardized so that the mean score for all children is 100 and the standard deviation is 15.
Suppose that the administrators of a very large and competitive school district wish to estimate the mean WISC score for all
students enrolled in their programs for gifted and talented children. They obtained a random sample of 40 students currently
enrolled in at 1least one program for gifted and talented children. The test scores for this sample are as follows:
117, 142, 112,99, 107, 109, 109, 121, 121, 125, 116, 123, 110, 105, 110, 111,95, 128, 103, 106,
155,98, 100, 123, 107, 137, 115, 127, 102, 106, 121, 113, 109, 128, 103, 105, 130, 134, 112, 102
Click to download the data in your preferred format.
CrunchIt! CSV Excel JMP Mac Text
Minitab PC Text R SPSS TI Calc
Use this data to calculate the mean WISC score, x, for these 40 students. Next, compute the standard deviation, SD, of the
sampling distribution of the sample mean, assuming that the standard deviation of WISC scores for students in the district
is the same as for the population as a whole. Finally, determine both the lower and upper limits of a 99% z-confidence
interval for u, the mean score for all students in the school district who are enrolled in gifted and talented programs.
about us
privacy policy
terms of use
careers
contact us
help
ENG
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19> The Weschler Intelligence Scale for Children (WISC) is an intelligence test designed for children between the ages of 6 and 16. The test is standardized so that the mean score for all children is 100 and the standard deviation is 15. Suppose that the administrators of a very large and competitive school district wish to estimate the mean WISC score for all students enrolled in their programs for gifted and talented children. They obtained a random sample of 40 students currently enrolled in at 1least one program for gifted and talented children. The test scores for this sample are as follows: 117, 142, 112,99, 107, 109, 109, 121, 121, 125, 116, 123, 110, 105, 110, 111,95, 128, 103, 106, 155,98, 100, 123, 107, 137, 115, 127, 102, 106, 121, 113, 109, 128, 103, 105, 130, 134, 112, 102 Click to download the data in your preferred format. CrunchIt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc Use this data to calculate the mean WISC score, x, for these 40 students. Next, compute the standard deviation, SD, of the sampling distribution of the sample mean, assuming that the standard deviation of WISC scores for students in the district is the same as for the population as a whole. Finally, determine both the lower and upper limits of a 99% z-confidence interval for u, the mean score for all students in the school district who are enrolled in gifted and talented programs. about us privacy policy terms of use careers contact us help ENG

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f 19
>
Click to download the data in your preferred format.
CrunchIt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc
Use this data to calculate the mean WISC score, x, for these 40 students. Next, compute the standard deviation, SD, of the
sampling distribution of the sample mean, assuming that the standard deviation of WISC scores for students in the district
is the same as for the population as a whole. Finally, determine both the lower and upper limits of a 99% z-confidence
interval for u, the mean score for all students in the school district who are enrolled in gifted and talented programs.
Give x and the limits of the confidence interval precise to one decimal place, but give the standard deviation to at least three
decimal places in order avoid rounding errors when computing the limits.
SD =
Lower limit
Upper limit =
about us
privacy policy
terms of use
contact us
help
careers
ENG
help_outline

Image Transcriptionclose

f 19 > Click to download the data in your preferred format. CrunchIt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc Use this data to calculate the mean WISC score, x, for these 40 students. Next, compute the standard deviation, SD, of the sampling distribution of the sample mean, assuming that the standard deviation of WISC scores for students in the district is the same as for the population as a whole. Finally, determine both the lower and upper limits of a 99% z-confidence interval for u, the mean score for all students in the school district who are enrolled in gifted and talented programs. Give x and the limits of the confidence interval precise to one decimal place, but give the standard deviation to at least three decimal places in order avoid rounding errors when computing the limits. SD = Lower limit Upper limit = about us privacy policy terms of use contact us help careers ENG

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Expert Answer

Step 1

There are total 40 students enrolled in the programs so, n = 40

 

Then find the sample mean:

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Σx п 117+142+112+...+102 40 4596 40 114.9

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Step 2

The standard error is:

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SE 15 = = 2.37 40

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Step 3

For 99% of the confidence level, critical value of z is 2.58:

 

The 99% confidence in...

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=xt z In = 114.9+ (2.58) (2.37) =(108.7854, 121.0146)

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