Let x represent the number of mountain climbers killed each year. The long-term variance of x is approximately o? = 136.2. Suppose that for the past 12 years, the variance has been s 118.3. Use a 1% level of significance to test the claim that the recent variance for number of mountain-climber deaths is less than 136.2. Find a 90% confidence interval for the population variance. (a) What is the level of significance? State the null and alternate hypotheses. OH: 02 = 136.2; H,: o < 136.2 %3D H: o2 = 136.2; H,: o² # 136.2 %3D O H:02 = 136.2; H,: o2 > 136.2 %3D Ho: 02 < 136.2; H,: o² = 136.2 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? We assume a exponential population distribution. We assume a binomial population distribution. We assume a normal population distribution. We assume a uniform population distribution. (c) Find or estimate the P-value of the sample test statistic. P-value > 0.100 0.050< P-value < 0.100 0.025< P-value < 0.050 0,010 < P-value < 0.025 0.005< P-value < 0.010 Home F9 End F10 PgUp F11 F12 Ins PrtScn F8 DII F3 F6 F7 Esc F4 F5 F1 F2 Bac & C@ 2$ 6 7 8 9- 2 4 5 %# 3
Let x represent the number of mountain climbers killed each year. The long-term variance of x is approximately o? = 136.2. Suppose that for the past 12 years, the variance has been s 118.3. Use a 1% level of significance to test the claim that the recent variance for number of mountain-climber deaths is less than 136.2. Find a 90% confidence interval for the population variance. (a) What is the level of significance? State the null and alternate hypotheses. OH: 02 = 136.2; H,: o < 136.2 %3D H: o2 = 136.2; H,: o² # 136.2 %3D O H:02 = 136.2; H,: o2 > 136.2 %3D Ho: 02 < 136.2; H,: o² = 136.2 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom? What assumptions are you making about the original distribution? We assume a exponential population distribution. We assume a binomial population distribution. We assume a normal population distribution. We assume a uniform population distribution. (c) Find or estimate the P-value of the sample test statistic. P-value > 0.100 0.050< P-value < 0.100 0.025< P-value < 0.050 0,010 < P-value < 0.025 0.005< P-value < 0.010 Home F9 End F10 PgUp F11 F12 Ins PrtScn F8 DII F3 F6 F7 Esc F4 F5 F1 F2 Bac & C@ 2$ 6 7 8 9- 2 4 5 %# 3
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Let x represent the number of mountain climbers killed each year. The long-term variance of x is approximately o?
= 136.2. Suppose that for the past 12 years, the variance has been s
118.3. Use a 1% level of significance to test the claim that the recent variance for number of mountain-climber deaths is less than 136.2. Find a 90% confidence interval for the
population variance.
(a) What is the level of significance?
State the null and alternate hypotheses.
OH: 02 =
136.2; H,: o < 136.2
%3D
H: o2 = 136.2; H,: o² # 136.2
%3D
O H:02 = 136.2; H,: o2 > 136.2
%3D
Ho: 02 < 136.2; H,: o² = 136.2
(b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)
What are the degrees of freedom?
What assumptions are you making about the original distribution?
We assume a exponential population distribution.
We assume a binomial population distribution.
We assume a normal population distribution.
We assume a uniform population distribution.
(c) Find or estimate the P-value of the sample test statistic.
P-value > 0.100
0.050< P-value < 0.100
0.025< P-value < 0.050
0,010 < P-value < 0.025
0.005< P-value < 0.010
Home
F9
End
F10
PgUp
F11
F12
Ins
PrtScn
F8
DII
F3
F6
F7
Esc
F4
F5
F1
F2
Bac
&
C@
2$
6
7
8
9-
2
4
5
%# 3
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