Data on fifth-grade test scores (reading and mathematics) for 421 school districts in California yield Y = 620.4 and standard deviation sy = 18.7.The 95% confidence interval for the mean test score in the population is (. ). (Round your responses to two decimal places.)When the districts were divided into districts with small classes (<20 students per teacher) and large classes (2 20 students per teacher), the following results werefound:Class SizeAverage Score (Y)Standard Deviation (sy)Small631.118.6231Large624.017.2185Is there statistically significant evidence that the districts with smaller classes have higher average test scores?The t-statistic for testing the null hypothesis is(Round your response to two decimal places.)The p-value for the test is . (Round your response to six decimal places.) Hint: Use the Excel function Norm.S.Dist to help answer this question.Is there statistically significant evidence that the districts with smaller classes have higher average test scores?Thesuggests that the null hypothesisV with a high degree of confidence. Hence,statistically significant evidence thatthe districts with smaller classes have higher average test scores.

It is given that the sample size of 421 school districts test scores. The average score is 620.4 and…

Answered: Data on fifth-grade test scores…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Researchers from a certain country were interested in how characteristics of the spleen of residents in their tropical environment compare to those found elsewhere in the world. The researchers randomly sampled 91 males and 109 females in their country. The mean and standard deviation of the spleen lengths for the males were 10.9 cm and 0.9 cm, respectively, and those for the females were 9.8 cm and 1.1 cm, respectively. Determine a 95% confidence interval for the difference between mean spleen lengths of males and females in this country. Click here to view page 1 of the table of critical values of t. Click here to view page 2 of the table of critical values of t. Let population 1 be all males in the country and let population 2 be all females in the country. The 95% confidence interval for µ1 - 4½ is ( | D (Round to three decimal places as needed. Use ascending order.)

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