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[All Steps] There are many ways to measure the reading ability of children. Research designed to improve reading performance is dependent on good measures of

Question: There are many ways to measure the reading ability of children. Research designed to improve reading performance is dependent on good measures of the outcome. One frequently used test is the DRP or Degree of Reading Power. A researcher suspects that the mean score $\mu $ of all third graders in Henrico County Schools is different from the national mean, which is 32. To test her suspicion, she administers the DRP to an SRS of 44 Henrico County third-grade students. Their scores were:

40	26	39	14	42	18	25	43	46	27	19
47	19	26	35	34	15	44	40	38	31	46
52	25	35	35	33	29	34	41	49	28	52
47	35	48	22	33	41	51	27	14	54	45

She then asked Minitab to calculate some descriptive statistics from this data set:

MTB > Describe 'DRPscore'.
N MEAN MEDIAN TRMEAN STDEV SEMEAN
DRPscore 44 35.09 35.00 35.25 11.19 1.69
MIN MAX Q1 Q3
DRPscore 14.00 54.00 26.25 44.75

You may assume that DRP scores are approximately normal, and that the standard deviation of scores in Henrico County Schools is known to be $\sigma $ = 11.

Construct a 90% confidence interval for the mean DRP score in Henrico County Schools.
Use the confidence interval you constructed in (a) to test the researcher’s claim. Be sure to state your hypotheses and your significance level.

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document

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[All Steps] There are many ways to measure the reading ability of children. Research designed to improve reading performance is dependent on good measures of

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40	26	39	14	42	18	25	43	46	27	19
47	19	26	35	34	15	44	40	38	31	46
52	25	35	35	33	29	34	41	49	28	52
47	35	48	22	33	41	51	27	14	54	45

40	26	39	14	42	18	25	43	46	27	19
47	19	26	35	34	15	44	40	38	31	46
52	25	35	35	33	29	34	41	49	28	52
47	35	48	22	33	41	51	27	14	54	45

40	26	39	14	42	18	25	43	46	27	19
47	19	26	35	34	15	44	40	38	31	46
52	25	35	35	33	29	34	41	49	28	52
47	35	48	22	33	41	51	27	14	54	45