This assignment will allow you to practice conducting statistical analyses as a researching...

Question

This assignment will allow you to practice conducting statistical analyses as a researching psychologist. As you recall from class, prior to conducting a study you need to ask a question that interests you. I provide an example below, but you are instructed to create your own versions of interesting questions to ask and to test using the supplied data. You have been provided unique data sets so your statistics and answers must be done on the data set that is assigned to you (i.e., the filename will have your student number). A unique answer key will be made for each data set and available to the TA to help them mark the assignments. If your answers do not match the answer key, you will not receive a full mark. As discussed in class, hypothesis testing involves 4 steps. 1. Ask a question about the population and state the hypothesis 2. Use hypothesis to predict sample characteristics 3. Obtain sample, collect data, and perform statistical analyses 4. Compare result to prediction and make a decision

Bikash · Accepted Answer

1. Perform a 1 sample t-test, 2-tailed, α = 0:05, and summarize your results. Make sure to use V1 column in your dataset to answer this question. For this test, pick a meaningful population mean to which you will be comparing your scores. (5 points)
Question/hypothesis
In the population the average IQ is 25. A team of scientist wants to test a new medication to see if it has either a positive or negative effect on intelligence, or no effect at all. A sample of 20 participants who have taken the medication were collected and their individual IQ score were noted. The data is stored in column V1.
Hypothesis test
A one-sample t test is used to answer the question: Does the sample mean (M) equal the population mean (σ)?  Additionally, a one-sample t test is used when σ is unknown.
Null hypothesis: The average IQ is equal to 25. 
Null hypothesis: Ho: µ = 25
Alternative hypothesis: H1: µ ≠ 25
Analysis performed using Minitab statistical software.
One-Sample T: V1
Descriptive Statistics
	N
	Mean
	StDev
	SE Mean
	95% CI for μ
	20
	26.60
	4.78
	1.07
	(24.36, 28.84)
μ: population mean of V1
Test
	Null hypothesis
	H₀: μ = 25
	Alternative hypothesis
	H₁: μ ≠ 25
	T-Value
	P-Value
	1.50
	0.151
	
	
	
	
Summary/Conclusion
Since P-Value (0.151) is greater than α (0.05) we fail to reject the null hypotheis and conclude that the average IQ score is not statistically different from 25.
2. Perform a repeated samples t-test, 2-tailed, α = 0:05, and summarize your results; Calculate Cohen's d and report it in the conclusion. Make sure to use V1 and V2 columns in your dataset to answer this question. (10 points)
 Question/hypothesis
The researcher wants to test whether the medication has an impact on the IQ score. The IQ score of the 20 people were collected before and after the medication. The IQ score before the medication is stored in V1 and IQ score of the same person after medication is stored in V2.
 Hypothesis test
Null hypothesis: There is no difference in the IQ score before and after medication i.e. the medication has no impact on the IQ score.
Ho: The mean difference between paired observations in the population is zero.
H1: The mean difference between paired observation in the population is not zero.
Paired T-Test and CI: V1,

This assignment will allow you to practice conducting statistical analyses as a researching psychologist. As you recall from class, prior to conducting a study you need to ask a question that...

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