Use the scenario below to answer the following 4 questions. Ron McKeman, a University of Arkansas student who transferred from the University of Texas, believes that there is not enough time in between classes to walk from Carnall Hall to the Business Building. He is recommending to the Associated Student Government to extend the break between classes from 15 minutes to 20 minutes. He samples 45 students at the UA and finds the average time it takes to walk across campus is 16.55 minutes with a standard deviation of 3 minutes. Test Ron's belief that it takes more than 15 minutes to get across campus. The output on the following page may be helpful for answering these questions, a-.05 12. What hypotheses is Ron testing? 15 and HA > 15 15 and HAR 15 13 14 15 a b. C Ho Arkansas-Texas 50, HA MArkansas-Texas 0 20. HA HArkansas Texas O Ho Arkansas-Texas 8. Ho 20 and HA 20 d. Ho Ho What is the test statistic? 2--1.45 1-1.45 t-3.47 2-347 t--1.45 What is the critical value? a t-1.58 Z-1.65 t-1.65 z-1.68 t-1.68 205 What is the correct conclusion? a. b C. Reject Ho, conclude it does not take longer than 15 minutes. Fail to reject Ho, conclude it does not take longer than 15 minutes. Reject Ho, conclude it does take longer than 15 minutes. Fail to reject Ho, conclude it does take longer than 15 minutes.

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Author:Amos Gilat
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Use the scenario below to answer the following 4 questions.
Ron McKeman, a University of Arkansas student who transferred from the University of Texas, believes
that there is not enough time in between classes to walk from Carnall Hall to the Business Building. He is
recommending to the Associated Student Government to extend the break between classes from 15
minutes to 20 minutes. He samples 45 students at the UA and finds the average time it takes to walk
across campus is 16.55 minutes with a standard deviation of 3 minutes. Test Ron's belief that it takes
more than 15 minutes to get across campus. The output on the following page may be helpful for
answering these questions, a-05.
12. What hypotheses is Ron testing?
Ho u = 15 and H, u>15
Ho
15 and HA
<15
13
14
15.
al
b
C
Ho HArkansas-Texas 50, HA: MArkansas-Texas > 0
Ho Arkansas Texas20. HA HArkansas-Texas <0
8. Ho 20 and HA: > 20
d.
What is the test statistic?
Z-1.45
t-1.45
FNPO00
a
b.
FADCOU
What is the critical value?
a
b
d.
e.
NDUG
t-3.47
2-3.47
t--1.45
a
What is the correct conclusion?
t-1.58
Z-1.65
t-1.65
C.
z-1.68
t-1.68
Reject Ho, conclude it does not take longer than 15 minutes.
b. Fail to reject Ho, conclude it does not take longer than 15 minutes.
Reject Ho, conclude it does take longer than 15 minutes.
d. Fail to reject Ho. conclude it does take longer than 15 minutes.
Transcribed Image Text:Use the scenario below to answer the following 4 questions. Ron McKeman, a University of Arkansas student who transferred from the University of Texas, believes that there is not enough time in between classes to walk from Carnall Hall to the Business Building. He is recommending to the Associated Student Government to extend the break between classes from 15 minutes to 20 minutes. He samples 45 students at the UA and finds the average time it takes to walk across campus is 16.55 minutes with a standard deviation of 3 minutes. Test Ron's belief that it takes more than 15 minutes to get across campus. The output on the following page may be helpful for answering these questions, a-05. 12. What hypotheses is Ron testing? Ho u = 15 and H, u>15 Ho 15 and HA <15 13 14 15. al b C Ho HArkansas-Texas 50, HA: MArkansas-Texas > 0 Ho Arkansas Texas20. HA HArkansas-Texas <0 8. Ho 20 and HA: > 20 d. What is the test statistic? Z-1.45 t-1.45 FNPO00 a b. FADCOU What is the critical value? a b d. e. NDUG t-3.47 2-3.47 t--1.45 a What is the correct conclusion? t-1.58 Z-1.65 t-1.65 C. z-1.68 t-1.68 Reject Ho, conclude it does not take longer than 15 minutes. b. Fail to reject Ho, conclude it does not take longer than 15 minutes. Reject Ho, conclude it does take longer than 15 minutes. d. Fail to reject Ho. conclude it does take longer than 15 minutes.
t-Test: Two-Somple Assuming Equal Voriances
Meran
Variance
Observations
Pooled Variance
Hypothesized Mean Difference.
df
t Stat
P(T-1) one-tail
LCritical une-Lail
P(T<-t) two-tail
t Critical two-tail
Z-Test: Two-Sample for Means
Mean
Variance
Observations
Hypothesized Mean Difference
7 Stat
P(22) one tail
z Critical one-tni
P(Z) two-tail
z Critical two-tail
Arkansos
16.55
9
45
0.255
0
88
-1.45
0.055
1,577
0.11
2.61898
Arkansas
16.55
9
1722
0
-1.45
0.055
1.615
0.11
1.96
Texos
17.5
10
45
Texas
17.5
10
1654
1-Test: Paired Two Somple for Means
Mean
Variance
Observations
Pearson Correlation
Hypothesized Mean Difference
df
t Stat
P(T<-t) one-tail
Critical one-tail
P(T<-t) two-tail
t Critical two-tail
Mean
Variance
Observations
Pooled Variance
Hypothesized Mean Difference
df
1 Stot
P(TL) one-tail
t Critical one-tail
Arkansas
P(Tot) two-tail
t Critical two-tail
16.55
9
1722
t-Test: Two-Sample Assuming Unequal Variances
0.138630771
0
88
-1.45
0.055
1.577
0.11
2.61808
Arkansas
16.55
9
1722
0.255
0
88
-1.45
0.055
1.577
0.11
2.61898
Texas
Texus
17.5
10
1654
17.5
10
1654
Transcribed Image Text:t-Test: Two-Somple Assuming Equal Voriances Meran Variance Observations Pooled Variance Hypothesized Mean Difference. df t Stat P(T-1) one-tail LCritical une-Lail P(T<-t) two-tail t Critical two-tail Z-Test: Two-Sample for Means Mean Variance Observations Hypothesized Mean Difference 7 Stat P(22) one tail z Critical one-tni P(Z) two-tail z Critical two-tail Arkansos 16.55 9 45 0.255 0 88 -1.45 0.055 1,577 0.11 2.61898 Arkansas 16.55 9 1722 0 -1.45 0.055 1.615 0.11 1.96 Texos 17.5 10 45 Texas 17.5 10 1654 1-Test: Paired Two Somple for Means Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T<-t) one-tail Critical one-tail P(T<-t) two-tail t Critical two-tail Mean Variance Observations Pooled Variance Hypothesized Mean Difference df 1 Stot P(TL) one-tail t Critical one-tail Arkansas P(Tot) two-tail t Critical two-tail 16.55 9 1722 t-Test: Two-Sample Assuming Unequal Variances 0.138630771 0 88 -1.45 0.055 1.577 0.11 2.61808 Arkansas 16.55 9 1722 0.255 0 88 -1.45 0.055 1.577 0.11 2.61898 Texas Texus 17.5 10 1654 17.5 10 1654
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