University or Pioeix MateHa Time to Practice: Week 4 Complete Parts A, B, and C
ID: 3057005 • Letter: U
Question
University or Pioeix MateHa Time to Practice: Week 4 Complete Parts A, B, and C below Part A Some questions in Part A require that you access data from Stafistics for People Who (Think They) Hate Statistics. This data is available on the student website under the Texthook Resources link. 1. Using the data in the file named Ch. 11 Data Set 2, test the research hypothesis at the.05 level of significance that boys raise their hands in class more often than girls. Do this practice problem by hand using a calculator. What is your conclusion regarding the research hypothesis? Remember to first decide whether this is a one- or two-tailed test 2. Practice the following problems by hand just to see if you can get the numbers right. Using the following information, calculate the t-test statistic c.7,=200 = 198 n.-17 na= 17 s1 =2.45 s1 = 2.35 3. Using the results you got from Question 2 and a level of significance at 05, what are the two-tailed critical values associated with each? Would the null hypothesis be rejected? 4. Using the data in the file named Ch. 11 Data Set 3, test the null hypothesis that urban and rural residents both have the same attitude toward gun control. Use IBM SPSSs software to complete the analysis for this problem 5 In the following examples, indicate whether you would perform a t-test of independent means or dependent means a. Two groups were exposed to different treatment levels for ankle sprains. Which treatment wasExplanation / Answer
Q2
Back-up Theory
Test Statistic
t = (X1bar – X2bar)/[s{(1/n1) + (1/n2)}] where
s2 = {(n1 – 1)s12 + (n2 – 1)s22}/(n1 + n2 – 2);
X1bar and X2bar are sample averages and s1, s2 are sample standard deviations based on n1 observations on X1 and n2 observations on X2 respectively.
Calculations
(a)
(b)
(c)
n1 =
10
22
17
n2 =
10
26
17
X1bar =
62
158
200
X2bar =
60
157.4
198
s1 =
1.57
1.44
1.57
s2 =
1.47
1.61
1.53
s^2 =
2.31
2.36
2.4
s =
1.52
1.53
1.55
tcal =
2.94
1.35
3.76
Test statistic values are: tcal in the above table ANSWER
Q3
Two-tail critical value for the above test is: upper (/2)% point of tn1 + n2 – 2, where = given level of significance and tn1 + n2 – 2 represents t-distribution with degrees of freedom = n1 + n2 – 2
Given = 5%, the three critical values [for (a), (b) and (c) of Q1] respectively are:
a
b
C
tcrit =
2.1
2.01
2.04
ANSWER
(a)
(b)
(c)
n1 =
10
22
17
n2 =
10
26
17
X1bar =
62
158
200
X2bar =
60
157.4
198
s1 =
1.57
1.44
1.57
s2 =
1.47
1.61
1.53
s^2 =
2.31
2.36
2.4
s =
1.52
1.53
1.55
tcal =
2.94
1.35
3.76
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