There are many ways to measure the reading ability of children. One frequently used test is the DRP or Degree of Reading Power. The national average score in DRP test is 32. We want to determine if there is sufficient evidence at the 5% level to suggest that the mean score of all third graders in YOUR district is higher than the national mean. The DRP scores for a simple random sample of 41 third graders in that suburban school in YOUR district yielded a mean of 35.2. Assume that the population of DRP scores of third graders in that suburban school district are normally distributed with a population std.dev of 11. Write your answers to parts (a) through (e) below. (A ) Step-1: State the hypotheses ( H0 and H1 ), and identify the claim A. H0: μ = 35.2 H1: μ > 35.2 B. H0: μ = 32 H1: μ < 32 C. H0: μ= 32 H1: μ > 32 D. H0: μ > 32 H1: μ = 32 ( b ) Step-2: Compute the P- value . Keep 4 decimals in your answer. A. 0.9687 B. 0.0313 C. 0.0625 D. 0.9651 ( c ) Step-3: Compare P- value with significance level value ( α value of 5%) and make final conclusion about whether or not to reject the null hypothesis. A. Reject H0 since P-value is less than alpha value

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Description: There are many ways to measure the reading ability of children. One frequently used test is the DRP or Degree of Reading Power. The national average score in DRP test is 32. We want to determine if there is sufficient evidence at the 5% level to sug

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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There are many ways to measure the reading ability of children. One frequently used test is the DRP or Degree of Reading Power. The national average score in DRP test is 32. We want to determine if there is sufficient evidence at the 5% level to suggest that the mean score of all third graders in YOUR district is higher than the national mean.

The DRP scores for a simple random sample of 41 third graders in that suburban school in YOUR district yielded a mean of 35.2. Assume that the population of DRP scores of third graders in that suburban school district are normally distributed with a population std.dev of 11.

Write your answers to parts (a) through (e) below.

(A ) Step-1: State the hypotheses ( H0 and H1 ), and identify the claim

H0: μ = 35.2

H1: μ > 35.2

H0: μ = 32

H1: μ < 32

H0: μ= 32

H1: μ > 32

H0: μ > 32

H1: μ = 32

( b ) Step-2: Compute the P- value . Keep 4 decimals in your answer.

0.9687

0.0313

0.0625

0.9651

( c ) Step-3: Compare P- value with significance level value ( α value of 5%) and make final conclusion about whether or not to reject the null hypothesis.

Reject H0 since P-value is less than alpha value

Do not reject H0 since P-value is greater than alpha value

Rehect H0 since P-value is greater than alpha value

( d ) Step-4: Summarize the result ( your final conclusion ) in words.

There is enough sample evidence to conclude that mean DRP score of all third graders in YOUR district is higher than the national mean.

There is NOT enough sample evidence to conclude that mean DRP score of all third graders in YOUR district is higher than the national mean.

( e ) Explain the possible error made in the context of the problem. Is it Type I or Type II error?

Type I Error: Concluding that the mean DRP score of all third graders in YOUR district is higher than the national mean when in reality the mean DRP score is less than the national mean.

Type II Error: Concluding that the mean DRP score of all third graders in YOUR district is less than the national mean when in reality the mean DRP score is higher than the national mean

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