A study is conducted to determine if a newly designed text book is more helpful to learning the material than the old edition. The mean score on the final exam for a course using the old edition is 75. Ten randomly selected people who used the new text take the final exam. Their scores are shown in the table below. PersonABCDEFGHIJTest Score 78 71 94 68 73 92 89 82 84 96Use a 0.05 significance level to test the claim that people do better with the new edition. Assume the standard deviation is 10.7. (Note:You may wish to use statistical software.)(a) What kind of test should be used?OA. One-TailedB. Two-TailedC. It does not matter.(b) The test statistic is(c) The P-value is(d) Is there sufficient evidence to support the claim that people do better than 75 on this exam?A. YesB. No(rounded to 2 decimals).(e) Construct a 95% confidence interval for the mean score for students using the new text.<μ<●……T¯¯

Let be the population mean score on the final exam. Given that,Sample size Population mean…

Answered: (a) What kind of test should be used?…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 11PPS

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A study is conducted to determine if a newly designed text book is more helpful to learning the material than the old edition. The mean score on the final exam for a course using the old edition is 75. Ten randomly selected people who used the new text take the final exam. Their scores are shown in the table below.

Person
ABCDEFGHIJ
Test Score 78 71 94 68 73 92 89 82 84 96
Use a 0.05 significance level to test the claim that people do better with the new edition. Assume the standard deviation is 10.7. (Note:
You may wish to use statistical software.)
(a) What kind of test should be used?
OA. One-Tailed
B. Two-Tailed
C. It does not matter.
(b) The test statistic is
(c) The P-value is
(d) Is there sufficient evidence to support the claim that people do better than 75 on this exam?
A. Yes
B. No
(rounded to 2 decimals).
(e) Construct a 95% confidence interval for the mean score for students using the new text.
<μ<
●
……
T
¯¯

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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