Math

ProbabilityQ&A Library19>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 ushelpcareersENGQuestion

Asked Nov 11, 2019

54 views

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.

Step 1

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

* *

Then find the sample mean:

Step 2

The standard error is:

Step 3

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

** **

The **99%** confidence in...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: the mean number of B's on a test is 8 with a standard deviation of 1.5. find The probability of les...

A: Consider a random variable X which follows normal distribution indicating the number of B’s on a tes...

Q: If a single die is rolled seven times, what is the probability it lands on 3 on the second, third, f...

A: GivenA die is rolled seven timesProbability of getting 3 = 1/6Probability of obtaining number other ...

Q: This problem was solved using sigma an mu it was copied from the board an the attached chart should ...

A: From the provided information, the mean (µ) and standard deviation (σ) are 10 and 2. The area betwee...

Q: A research team conducted a study showing that approximately 10% of all businessmen who wear ties we...

A: (a)The probability that at least one tie is too tight is obtained below:Let X be the random variable...

Q: Suppose that X and Y have a joint density function given by e-(a+y)r,y> 0, otherwise f(x, y) (a) Com...

A: From the provided information, the joint density function is,

Q: How do frequency tables, relative frequencies, and histograms showing relative frequencies help us u...

A: The graphical representation is very useful phenomena in case of visualization of data. The graphica...

Q: (Part a) Can we have an event A that has negative probability? Explain your answer. (Part b) Conside...

A: To discuss (1) the possibility of negative probabilities and (2) the negagtion of an event

Q: In a lottery daily game, a player picks three numbers from 0 to 9. How many differentchoices does th...

A: Given dataNumbers from 0 to 9A player picks three numbers from 0 to 9No of different choices the pla...

Q: According to the Chronicles of Contrived Statistics (March, 2016), the probability that Elon Musk wi...

A: From the properties of probability, for any two events A and B we have,