Exam (elaborations)
STA1502 EXAM PACK 2024
- Course
- Institution
- Book
This document contains STA1502 Recent exam Questions and solutions. Perfect for 2024 EXAM preparation
[Show more]
Connected book
Book Title:
Author(s):
- Edition:
- ISBN:
- Edition:
More summaries for
-
SOLUTIONS MANUAL for Probability and Statistical Inference 10th Edition by Robert Hogg; Elliot Tanis and Dale Zimmerman
-
Complete Solution Manual Probability and Statistical Inference 10th Edition Questions & Answers with rationales
-
Solution Manual for Probability and Statistical Inference 10th Edition / All Chapters / Full Complete 2023
Seller
Follow
StudyShack
Reviews received
Content preview
STA1502EXAM PACK
This document includes:
• Exam questions and answers and guidelines for
better understanding,
• Summarised study notes
• Exam guidelines and tips
Connect with the tutor on
+27 68 812 0934
, lOMoARcPSD|1638573
STA1502 OCTOBER NOVEMBER 2023
1 TRIAL EXAMINATION PAPER
Question 1
For a sample of 10 observations with a sample mean of 39 and sample standard deviation of 4. Let
assume that a second sample of size 7 is independent and from other population with a sample
mean of 37 and sample standard deviation of 3. Test the hypothesis that the population mean for
group 1 is greater than the population mean from group 2, which one of the following statement is
correct?
1. The population variance are known.
2. The alternative hypothesis is H1 : 1 < 2:
3. The critical value at 5% is 2:131.
4. H0 is not rejected at 5% level of significance.
5. The test statistic is 1:117:
Question 2
Using the information on question 1, the 95% confidence interval estimate for the difference be-
tween two population means is
1. .1:694I 5:694/
2. . 1:03269I 5:03269/
3. .1:03269I 5:03269/
4. . 1:69I 5:694/
5. . 1:81I 5:81/
Question 3
Given the folowing data:
Sample 1 Sample mean D 250 Sample standard deviation D 27 Sample size n 1 D 9
Sample 2 Sample mean D 238 Sample standard deviation D 15 Sample size n 2 D 9
Assume that the two samples are independent and normally distributed with unequal variances.
The test statistic for the difference between the two population means is
1. 12
2. 10:2956
3. 1:1655
4. 13:242
5. 1:1655
2
Downloaded by Jennaleigh Coetzee (jennaleigh.coetzee@gmail.com)
, lOMoARcPSD|1638573
STA1502/102/2/2020
Question 4
A paired difference experiment was conducted to compare the means of two populations:
Sample 1: 13 16 11 14 17
Sample 2: 12 15 11 12 18
The lecturer wants to determine if the population mean 1 differs from population mean 2. Which of
the following statements is incorrect?
1. The sample mean of the differences is 0:625:
2. The standard error of the difference is 0:4199:
3. The test statistic is 1:8844:
4. The critical value at 5% level is 2:365:
5. The confidence interval is . 0:3681I 1:6181/:
Question 5
Let assume that the population variance are known, and two tailed test is conducted to test the
difference between two population means . 1 2 / using the above information:
Sample 1: n 1 D 36 Mean X 1 D 69 2 D 360
1
Sample 2: n 2 D 49 Mean X 2 D 50 2 D 250
2
Test the hypothesis to determine if the population means are the same at D 0:05
Which one of the following statements is correct?
1. If the two populations are normally distributed then the difference between the two popula-
tions means is not normally distributed.
2. The standard error for the difference between the two means is 2:886:
3. The test statistic Z is 5:444:
4. The rejection region is Z is < 2:33 and Z is > 2:33:
5. We reject the null hypothesis at 5% level of significance
Question 6
The UNISA subjects tests in chemistry and Physics for two groups of 15 students each electing to
take these tests are given below.
Chemistry Physics
Mean D 629 Mean D 643
S1 D 110 S2 D 107
n 1 D 15 n 2 D 15
A statistician wants to determine if the variances are different? (use alpha = 5%). Which one of the
following statements is correct?
3
Downloaded by Jennaleigh Coetzee (jennaleigh.coetzee@gmail.com)
, lOMoARcPSD|1638573
1. A one-tailed test is appropriate.
2. The rejection is F < 2:89:
3. The test statistic F is 1:0569:
4. The lower confidence limit LC L D 0:5347:
5. The upper confidence limit U C L D 3:4196:
Question 7
An independent newspaper reported the result of a survey of 800 South Africans adults. The ques-
tion asked on the South Africans who were surveyed was” should SARS raised TAX on cigarettes
to pay for the health reform”. The result of the survey were summarizes as follows:
Smokers 195 were surveyed 41 said yes
Non-smokers 605 were surveyed 351 said yes
In testing if there is sufficient evidence to conclude at 5 % level of significance that the two popu-
lations ( smokers and non-smokers) differ significantly with respect to their opinions. Which one of
the following statement is correct?
1. The null and alternatives hypotheses are: H0 : p1 D p2 and p2 > p1 :
2. At 5% level of significance the rejection region is z < 1:96:
3. The p–value is 2:
4. The Z –statistic is 6:09:
5. The 95% confidence interval is .0:2935I 0:4463/.
Question 8
The following table gives numbers of democrats and republicans about their opinions on abortion.
Favor Indifferent Opposed Total
Democrats 138 83 64 285
Republicans 64 67 84 215
Total 202 150 184 500
Is there enough evidence to infer that the responses differ between the 2 groups at 5% level of
significance? Which one of the following statements is incorrect?
1. The variable are nominal for this test.
2. A chi-squared test of a contingency table is appropriate.
3. The test statistics is 22:152:
4. The degree of freedom is 2.
5. The rejection region at 5% level of significance is 2 > 6:99:
4
Downloaded by Jennaleigh Coetzee (jennaleigh.coetzee@gmail.com)
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller StudyShack. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $2.83. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
67232 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now