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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 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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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.
Transcribed Image Text:File Home Insert Draw Design Layout References Mailings Review View Help Share ரComments 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.
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