Test the hypotheses shown below for a random sample with s = 163 and n= 25 at the 5% significance level. Ho os 100 H, o> 100 Click the icon to view the upper critical values of Chi-square distribution table. For this test at the significance level a with sample variance s, hypothesized variance o, sample size n, and critical value x X or x /2 and x -12, what is the form of the decision rule? O A. Reject H, if (n-1)s (n-1)s >Xn-1,a/2 or reject H, if -1.1-a/2 O B. Reject H, If- (n-1)s OC. Reject H, it (n-1)s Determine the critical value or values The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Calculate the chi-square statistic for this sample (n-1)a - (Round to two decimal places as needed.) State the conclusion of this test the null hypothesis There sufficient evidence that the population variance is more than 100 Windows'u Etk windowset est Click to select your answer(s)

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Upper Critical Values of Chi-Square Distribution with v Degrees of Freedom
selected probabilities a, the table shows the values x, such that P(x > X.) = a, where x is a chi-square random variable with o
ress of freedom. For example, the probability is .100 that a chi-square random variable with 10 degrees of freedom is greater than 15.987.
PROBABILITY OF EXCEEDING THE CRITICAL VALUE
0.10
0.05
0.025
0.01
0.001
1
2.706
3.841
5.024
7.378
2.
6.635
10.828
4.605
5.991
3
9210
13.816
6.251
7.815
9.348
11.345
4
7.779
16.266
9.488
11.143
13.277
9.236
18.467
11.070
12833
15.086
16.812
10.645
20.515
12.592
14.449
7.
12.017
22.458
14.067
16.013
17.535
13.362
18.475
24.322
15.507
14.684
20.090
26.125
16.919
19.023
21.666
23.209
10
27.877
29.588
15.987
18.307
20.483
Print
Transcribed Image Text:Upper Critical Values of Chi-Square Distribution with v Degrees of Freedom selected probabilities a, the table shows the values x, such that P(x > X.) = a, where x is a chi-square random variable with o ress of freedom. For example, the probability is .100 that a chi-square random variable with 10 degrees of freedom is greater than 15.987. PROBABILITY OF EXCEEDING THE CRITICAL VALUE 0.10 0.05 0.025 0.01 0.001 1 2.706 3.841 5.024 7.378 2. 6.635 10.828 4.605 5.991 3 9210 13.816 6.251 7.815 9.348 11.345 4 7.779 16.266 9.488 11.143 13.277 9.236 18.467 11.070 12833 15.086 16.812 10.645 20.515 12.592 14.449 7. 12.017 22.458 14.067 16.013 17.535 13.362 18.475 24.322 15.507 14.684 20.090 26.125 16.919 19.023 21.666 23.209 10 27.877 29.588 15.987 18.307 20.483 Print
Test the hypotheses shown below for a random sample with s = 163 and n= 25 at the 5% significance level.
Ho os 100
H, o> 100
Click the icon to view the upper critical values of Chi-square distribution table.
For this test at the significance level a with sample variance s, hypothesized variance o, sample size n, and critical value x.. X r. or x 2 and x -g2. what is the form of the decision rule?
n-1.a
1,1-a
Xn-
(n-1)s
O A. Reject H, if
(n-1)s
X-1.a/2 or reject H, if
<X-1,1-a/2
O B. Reject H, if
(n-1)s
x-1,1-a
(n-1)s?
O C. Reject H, if
Determine the critical value or values.
The critical value(s) is(are)
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Calculate the chi-square statistic for this sample
(n- 1)s
= (Round to two decimal places as needed.)
State the conclusion of this test.
v the null hypothesis There
V sufficient evidence that the population variance is more than 100.
Windows'u Etkin
Windowsr etk vestim
Click to select your answer(s)
Transcribed Image Text:Test the hypotheses shown below for a random sample with s = 163 and n= 25 at the 5% significance level. Ho os 100 H, o> 100 Click the icon to view the upper critical values of Chi-square distribution table. For this test at the significance level a with sample variance s, hypothesized variance o, sample size n, and critical value x.. X r. or x 2 and x -g2. what is the form of the decision rule? n-1.a 1,1-a Xn- (n-1)s O A. Reject H, if (n-1)s X-1.a/2 or reject H, if <X-1,1-a/2 O B. Reject H, if (n-1)s x-1,1-a (n-1)s? O C. Reject H, if Determine the critical value or values. The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Calculate the chi-square statistic for this sample (n- 1)s = (Round to two decimal places as needed.) State the conclusion of this test. v the null hypothesis There V sufficient evidence that the population variance is more than 100. Windows'u Etkin Windowsr etk vestim Click to select your answer(s)
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