Q1. The number of points TEDU basketball team scores against Stanford basketball team isnormally distributed. Suppose that over the last 10 games between the two teams TEDUscored the points given below:74, 59, 62, 61, 70, 62, 66, 62, 75, 59a) Construct a 95% two-sided confidence interval for the mean of the numberof points scored by TEDU.b) The coach of the TEDU team finds out that the variance of the number ofpoints scored is 25. Given this new information, construct a 95% two-sidedconfidence interval for the mean of the number of points scored by TEDU.c) Compare the confidence intervals found in part (a) and (b). Explain thereason behind the difference.Solve part (d), (e) and (f) given the information on variance in part (b).d) How many previous game points do you have to sample to ensure that theerror of the estimate for the mean score would not exceed 30?e) The coach of the TEDU team claims that on the average the point scoredagainst Stanford team is 70. Construct a hypothesis test that can be used to help thecoach test his claim. That is, state your null hypothesis and alternative hypothesis interms of the relevant population parameter.f) Test the hypotheses constructed in part (e) using a significance level of0.01. State your conclusion also in words. Q1. The number of points TEDU basketball team scores against Stanford basketball team isnormally distributed. Suppose that over the last 10 games between the two teams TEDUscored the points given below:74, 59, 62, 61, 70, 62, 66, 62, 75, 59Construct a 95% two-sided confidence interval for the mean of the numberof points scored by TEDU.The coach of the TEDU team finds out that the variance of the number ofb)points scored is 25. Given this new information, construct a 95% two-sidedconfidence interval for the mean of the number of points scored by TEDU.Compare the confidence intervals found in part (a) and (b). Explain thec)reason behind the difference.Solve part (d), (e) and (f) given the information on variance in part (b).d)How many previous game points do you have to sample to ensure that theerror of the estimate for the mean score would not exceed 30?The coach of the TEDU team claims that on the average the point scorede)against Stanford team is 70. Construct a hypothesis test that can be used to help thecoach test his claim. That is, state your null hypothesis and alternative hypothesis interms of the relevant population parameter.Test the hypotheses constructed in part (e) using a significance level off)0.01. State your conclusion also in words.

As per bartleby guidelines, for more than three subparts, first three must be solved. Part (a) The…

Q1. The number of points TEDU basketball team scores against Stanford basketball team is normally distributed. Suppose that over the last 10 games between the two teams TEDU scored the points given below: 74, 59, 62, 61, 70, 62, 66, 62, 75, 59 a) Construct a 95% two-sided confidence interval for the mean of the number of points scored by TEDU. b) The coach of the TEDU team finds out that the variance of the number of points scored is 25. Given this new information, construct a 95% two-sided confidence interval for the mean of the number of points scored by TEDU. c) Compare the confidence intervals found in part (a) and (b). Explain the reason behind the difference. Solve part (d), (e) and (f) given the information on variance in part (b). d) How many previous game points do you have to sample to ensure that the error of the estimate for the mean score would not exceed 30? e) The coach of the TEDU team claims that on the average the point scored against Stanford team is 70. Construct a hypothesis test that can be used to help the coach test his claim. That is, state your null hypothesis and alternative hypothesis in terms of the relevant population parameter. f) Test the hypotheses constructed in part (e) using a significance level of 0.01. State your conclusion also in words.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Q1. The number of points TEDU basketball team scores against Stanford basketball team is
normally distributed. Suppose that over the last 10 games between the two teams TEDU
scored the points given below:
74, 59, 62, 61, 70, 62, 66, 62, 75, 59
a) Construct a 95% two-sided confidence interval for the mean of the number
of points scored by TEDU.
b) The coach of the TEDU team finds out that the variance of the number of
points scored is 25. Given this new information, construct a 95% two-sided
confidence interval for the mean of the number of points scored by TEDU.
c) Compare the confidence intervals found in part (a) and (b). Explain the
reason behind the difference.
Solve part (d), (e) and (f) given the information on variance in part (b).
d) How many previous game points do you have to sample to ensure that the
error of the estimate for the mean score would not exceed 30?
e) The coach of the TEDU team claims that on the average the point scored
against Stanford team is 70. Construct a hypothesis test that can be used to help the
coach test his claim. That is, state your null hypothesis and alternative hypothesis in
terms of the relevant population parameter.
f) Test the hypotheses constructed in part (e) using a significance level of
0.01. State your conclusion also in words.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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