I need help with problem 2. Professor Morgan would like to determine if the academic Preparation of 1st year students in her class is different from that of the population she knows that the population mean on the ACT is 20 (u=20). Her class of 14 students has an average ACT score of 24 with a standard deviation of 5. Do the ACT scores significantly differ from the population? FileHomeInsertDrawDesignLayoutReferencesMailingsReviewViewHelpShareரCommentsi UPDATES AVAILABLE Updates for Office are ready to be installed, but first we need to close some apps.Update nowFor each problem, compute the appropriate statistical test and report your conclusion. Your answershould include the following:Identify the appropriate statistical test.State the null hypothesis.a.b.Calculate the appropriate test statistic. Make sure to report the degrees of freedom forthe statistical test (if appropriate). You must show your work to receive full credit.State your conclusions (use a two-tailed test with a = .05 for all tests).C.d.е.Compute an effect size.1.Professor Banks is interested in the relationship between hours spent studying and performance onthe final exam in her class. She collects data from 18 students in her class and finds that thecorrelation between the two variables is r= 0.42. Is there a significant relationship between timestudying and exam performance?Professor Morgan would like to determine if the academic preparation of first-year students in her class isdifferent from that of the population. She knows that the population mean on the ACT is 20 (µ = 20). Herclass of 14 students has an average ACT score of 24 with a standard deviation of 5. Do the ACT scoressignificantly differ from the population?A researcher would like to evaluate the changes in reading ability for a class of 22 children. The childrenwere assessed on their reading ability at the beginning of the school year and then again at the end of theyear. Reading scores increased by an average of 7 pointS over the school year. The difference scores had avariance of 100. Was there a significant change in reading ability?3.A teacher is concerned that the disruption caused by COVID-19 has affected math scores at her highschool. She knows that scores on a standardized math test for high school students are normallydistributed with u = 50 and o = 10. She administers the math test to a sample of 21 students at her high4.G Focus+ 12696Page 1 of 2743 words9:28 PMW5/14/20212.

Name: I need help with problem 2. Professor Morgan would like to determine
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Description: I need help with problem 2. Professor Morgan would like to determine if the academic Preparation of 1st year students in her class is different from that of the population she knows that the population mean on the ACT is 20 (u=20). Her class of 14

Given Sample size(n)=14 Sample standard deviation(s)=5 Mean=24

Answered: Professor Morgan would like to…

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Author:Amos Gilat

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I need help with problem 2.

Professor Morgan would like to determine if the academic Preparation of 1st year students in her class is different from that of the population she knows that the population mean on the ACT is 20 (u=20). Her class of 14 students has an average ACT score of 24 with a standard deviation of 5. Do the ACT scores significantly differ from the population?

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i UPDATES AVAILABLE Updates for Office are ready to be installed, but first we need to close some apps.
Update now
For each problem, compute the appropriate statistical test and report your conclusion. Your answer
should include the following:
Identify the appropriate statistical test.
State the null hypothesis.
a.
b.
Calculate the appropriate test statistic. Make sure to report the degrees of freedom for
the statistical test (if appropriate). You must show your work to receive full credit.
State your conclusions (use a two-tailed test with a = .05 for all tests).
C.
d.
е.
Compute an effect size.
1.
Professor Banks is interested in the relationship between hours spent studying and performance on
the final exam in her class. She collects data from 18 students in her class and finds that the
correlation between the two variables is r= 0.42. Is there a significant relationship between time
studying and exam performance?
Professor Morgan would like to determine if the academic preparation of first-year students in her class is
different from that of the population. She knows that the population mean on the ACT is 20 (µ = 20). Her
class of 14 students has an average ACT score of 24 with a standard deviation of 5. Do the ACT scores
significantly differ from the population?
A researcher would like to evaluate the changes in reading ability for a class of 22 children. The children
were assessed on their reading ability at the beginning of the school year and then again at the end of the
year. Reading scores increased by an average of 7 pointS over the school year. The difference scores had a
variance of 100. Was there a significant change in reading ability?
3.
A teacher is concerned that the disruption caused by COVID-19 has affected math scores at her high
school. She knows that scores on a standardized math test for high school students are normally
distributed with u = 50 and o = 10. She administers the math test to a sample of 21 students at her high
4.
G Focus
+ 12696
Page 1 of 2
743 words
9:28 PM
W
5/14/2021
2.

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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