A professor wants to determine if there is a difference between students' pre and post test...

A professor wants to determine if there is a difference between students' pre and post test after a semester of learning.

1. What could be the research question for this problem?

2. What could be the null hypothesis and alternative hypothesis for this problem?

3. Looking at the mean of both pro and post test, on the end-results below, does it REJECT or FAIL TO REJECT the null hypothesis and why?

The results of the test showed this following:

Paired Samples Statistics
		Mean	N	Std. Deviation	Std. Error Mean
Pair 1	PreTest	65.0000	33	15.18223	2.64289
Pair 1	PostTest	71.4545	33	14.59686	2.54099

Paired Samples Correlations
		N	Correlation	Sig.
Pair 1	PreTest & PostTest	33	.969	.000

Paired Samples Test
		Paired Differences					t	df	Sig. (2-tailed)
		Mean	Std. Deviation	Std. Error Mean	95% Confidence Interval of the Difference
					Lower	Upper
Pair 1	PreTest - PostTest	-6.45455	3.73406	.65002	-7.77858	-5.13051	-9.930	32	.000

Expert Solution

I explained the question in detail as below.

Colby Messinger answered 2 years ago

1. A mathematics professor wants to determine whether there is a difference in the final averages...

1. A mathematics professor wants to determine whether there is a difference in the final averages between the past two semesters (semester I and semester II) of his business statistics classes. For a random sample of 16 students from semester I, the mean of the final averages was 75 with a standard deviation of 4. For a random sample of 9 students from semester II, the mean was 73 with a standard deviation of 6. If the final averages from...

2. A statistic professor wants to investigate that there is a difference between a man's height...

2. A statistic professor wants to investigate that there is a difference between a man's height and a woman's height at SMC. She gathered 23 female statistics students in her class and found their mean height is 64.217 inches and their standard deviation is 2.2755 inches. On the other hand, there were 12 male statistics students who were asked their height; their mean height is 67.833 inches and the standard deviation is 3.738 inches. Construct a 95% confidence interval estimate...

A researcher wants to determine if there is a significant difference between men and women in...

A researcher wants to determine if there is a significant difference between men and women in terms of guilty/non guilty pleas submitted by a sample of 50 defendants. Knowing that there are 25 women and 25 men in this sample and that 15 men entered guilty pleas [and 10 no guilty pleas] and 5 women entered guilty pleas [and 20 no guilty pleas]… [Hint: Calculated Chi-Sq. = 8.33] Formulate the null and research/alternative hypotheses. Create a contingency table with 2...

A medical examiner wants to determine if there is a difference between the time it takes...

A medical examiner wants to determine if there is a difference between the time it takes to relieve headaches between three different medications. Using the sample results below can you conclude there is a difference in mean time for the three medications? Medication A Medication B Medication C 12 16 14 15 14 17 17 21 20 12 15 15 19 *include null and alternate hypothesis, a p-value, and a conclusion PRIVATE about the null hypothesis*

Explain the difference between pre-money valuation and post-money valuation. Why is valuation important as the company...

Explain the difference between pre-money valuation and post-money valuation. Why is valuation important as the company raises additional rounds of financing?

What is the difference between pre-money and post-money valuations? Back your response with at least two...

What is the difference between pre-money and post-money valuations? Back your response with at least two examples.

Professor Smith wants to determine if a correlation exists between absences and final grade. She determines...

Professor Smith wants to determine if a correlation exists between absences and final grade. She determines the number of absences for ten students in her class and then determines the mean final score for those students. Below are her data: Student Absences Score 1................. 0...........95 2................. 1.......... 90 3................. 4.......... 72 4................. 3.......... 78 5................. 2.......... 84 6................. 5.......... 67 7................. 4.......... 71 8................. 2.......... 80 9................. 7.......... 55 10............... 5 ......... 64 1. State the null hypothesis: ______________________ 2....

A researcher wants to determine if there is a significant difference between the average fuel mileages...

A researcher wants to determine if there is a significant difference between the average fuel mileages for city and highway driving for the same model of cars. Use the EPA data below from a variety of 4-door sedans built in 2015 to determine if there is a difference between the city and highway fuel mileage for the same car models using α = 0.05. Round calculations to the nearest tenths. Car Models city highway Acura 18 27 Audi 20 29...

A college professor wants to select three students among twelve students to clean the room. The...

A college professor wants to select three students among twelve students to clean the room. The first student selected will clean the windows, the second student selected will do all the other work, while the third student selected will supervise all activities. In how many different ways can the professor select 3 students form this group.

"Correlation/Regression QA" A professor wants to determine the relationship between Middleterm Scores (X) and Final Scores...

"Correlation/Regression QA" A professor wants to determine the relationship between Middleterm Scores (X) and Final Scores (Y). The professor correlates the MiddleTerm Scores (X) with the Final Scores (Y) for all of his students. The data are presented below. MiddleTerm Scores: 92, 91, 90, 89, 88, 87, 86, 85, 83, 81, 80, 80 Final Scores: 88, 87, 84, 84, 76, 75, 73, 72, 73, 74, 68, 82 16)What is the relationship between MiddleTerm Scores and Final Scores (Round to two...

Question