The scores out of 50 points on a recent vocabulary test for all of the 120 studentsenrolled in a statistics class at a local high school is approximately normallydistributed with a mean of 34.82 points and a standard deviation of 5.02 points. Theteacher plans to select a random sample of 6 students to survey about how toincrease student performance on the next vocabulary test.a. Calculate the mean and standard deviation of the sampling distribution of X, the= 6.sample mean number of points scored by students for samples of size n =b. Interpret the standard deviation of the sampling distribution calculated in part (a).c. The teacher believes that if a student scored less than 30 points, the student willhave a different opinion than if a student scored more than 30 points. Calculate theprobability that in a random sample of 6 students, the sample average would be lessthan 30 points.

Given : Population mean , μ = 34.82 Population standard deviation , σ = 5.02 sample size, n = 6

a. Calculate the mean and standard deviation of the sampling distribution of X, the sample mean number of points scored by students for samples of size n 6. b. Interpret the standard deviation of the sampling distribution calculated in part (a). c. The teacher believes that if a student scored less than 30 points, the student will have a different opinion than if a student scored more than 30 points. Calculate the probability that in a random sample of 6 students, the sample average would be less than 30 points.

a. Calculate the mean and standard deviation of the sampling distribution of X, the sample mean number of points scored by students for samples of size n 6. b. Interpret the standard deviation of the sampling distribution calculated in part (a). c. The teacher believes that if a student scored less than 30 points, the student will have a different opinion than if a student scored more than 30 points. Calculate the probability that in a random sample of 6 students, the sample average would be less than 30 points.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

The scores out of 50 points on a recent vocabulary test for all of the 120 students
enrolled in a statistics class at a local high school is approximately normally
distributed with a mean of 34.82 points and a standard deviation of 5.02 points. The
teacher plans to select a random sample of 6 students to survey about how to
increase student performance on the next vocabulary test.
a. Calculate the mean and standard deviation of the sampling distribution of X, the
= 6.
sample mean number of points scored by students for samples of size n =
b. Interpret the standard deviation of the sampling distribution calculated in part (a).
c. The teacher believes that if a student scored less than 30 points, the student will
have a different opinion than if a student scored more than 30 points. Calculate the
probability that in a random sample of 6 students, the sample average would be less
than 30 points.

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