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PSY 1110 module 9 & 10

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Patients recovering from an appendix operation normally spend an average of 6.3 days in the
hospital. The distribution of recovery times is normal with a σ = 2.0 days. The hospital is trying a
new recovery program designed to lessen the time patients spend in the hospital. The first 16
appendix patients in this new program were released from the hospital in an average of 5.8 days.
On the basis of these data, can the hospital conclude that the new program has a significant
reduction of recovery time. Test at the .05 level of significance.
Q1: The appropriate statistical procedure for this example would be a
z-test
Q2: Is this a one-tailed or a two-tailed test?
One-tailed
Q3: The most appropriate null hypothesis (in words) would be
The new appendix recovery program does not significantly reduce the number
of days spent in the hospital when compared to the population of patients on
the traditional recovery program.
Q4: The most appropriate null hypothesis (in symbols) would be
new program ≥ 6.3
Q5: Set up the criteria for making a decision. That is, find the critical value using an
alpha = .05. (Make sure you are sign specific: +; - ; or ±) (Use your tables) -1.645
Summarize the data into the appropriate test statistic.
Steps:
Q6: What is the numeric value of your standard error? 0.5
Q7: What is the z-value or t-value you obtained (your test statistic)? Z = -1
Q8: Based on your results (and comparing your Q7 and Q5 answers) would you
fail to reject the null hypothesis
Q9: The best conclusion for this example would be.
The new appendix recovery program does not significantly reduce the number
of days spent in the hospital when compared to the population of patients on
the traditional recovery program.
Q10: Based on your evaluation of the null in Q8 and your conclusion is Q9, as a researcher
you would be more concerned with a
. Type II statistical error

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Calculate the 95% confidence interval.
Steps:
Q11: The mean you will use for this calculation is
5.8
Q12: What is the new critical value you will use for this calculation? 1.96
Q13: As you know, two values will be required to complete the following equation:
4.82 ≤ µ ≤ 6.78
The following 4 questions (Q14 to Q17) are based on the following situation:
If α = .04, and β = .35, complete the following questions by inserting the appropriate
probability of each.
Q14: The statistical decision is to reject the null, and H0 is really true (ie: a Type I error) 0.04
Q15: The statistical decision is to fail to reject null, and H0 is really true (ie: a correct decision)
0.96
Q16: The statistical decision is to reject the null, and H0 is really false (ie: Power)
Q17: 0.65
The statistical decision is to fail to reject the null, and H0 is really false
(i.e. a Type II error) 0.35
A researcher wants to determine whether high school students who attend an SAT
preparation course score significantly different on the SAT than students who do not attend
the preparation course. For those who do not attend the course, the population mean is 1050 (μ
= 1050). The 16 students who attend the preparation course average 1200 on the SAT, with
a sample standard deviation of 100. On the basis of these data, can the researcher conclude that
the preparation course has a significant difference on SAT scores? Set alpha equal to .01.
Q18: The appropriate statistical procedure for this example would be a
. t-test
Q19: Is this a one-tailed or a two-tailed test?
. two-tailed
Q20: The most appropriate null hypothesis (in words) would be
There is no statistical difference in SAT scores when comparing students who
took the SAT prep course with the general population of students who did not
take the SAT prep course.

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Patients recovering from an appendix operation normally spend an average of 6.3 days in the hospital. The distribution of recovery times is normal with a σ = 2.0 days. The hospital is trying a new recovery program designed to lessen the time patients spend in the hospital. The first 16 appendix patients in this new program were released from the hospital in an average of 5.8 days. On the basis of these data, can the hospital conclude that the new program has a significant reduction of recovery time. Test at the .05 level of significance. Q1: The appropriate statistical procedure for this example would be a z-test Q2: Is this a one-tailed or a two-tailed test? One-tailed Q3: The most appropriate null hypothesis (in words) would be The new appendix recovery program does not significantly reduce the number of days spent in the hospital when compared to the population of patients on the t ...
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