Let x represent the average annual salary of college and university professors (in thousands of dollars)…

Let x The typical school wage is $16,000
College professors in america (in 1000’s)
States. The next applies to all universities and faculties in america:
Inhabitants variance x Is roughly
σ2 = 47.1. Nonetheless, a random Pattern of 14
Kansas universities and faculties confirmed this. x Has a
Variance pattern S2 = 82.6. Use a stage of 5%
Significance to look at the assertion that the faculty and college variances are vital
Kansas has extra universities than 47.1. Get 95% Confidence
Variance within the inhabitants is measured over a sure interval.

(a.) What’s the significance stage?

Declare alternate hypotheses in addition to the null.

HIt’s also possible to go to our web site.: σ2 = 47.1;
H1: σ2 >
47.1Ho: σ2 < 47.1;
H1: σ2 =
47.1    Ho:
σ2 = 47.1; H1:
σ2 < 47.1Ho:
σ2 = 47.1; H1:
σ2 ≠ 47.1

(b) Discover the worth of the chi-Sq. Statistic fYou also can go to our web site.r the Pattern.
(Spherical your anSwer tYou also can go to our web site. two decimal placeS.)

What are the degreeS It’s also possible to go to our web site.f freedom?

What aSSumptions are you making concerning the authentic

You assume a binomial inhabitants distribution.We assume a
exponential inhabitants distribution.    We
assume a standard inhabitants distribution.We assume a uniform
inhabitants distribution.

(c) Estimate or discover the PThe -value for the pattern take a look at

P-value > 0.1000.050 < P-value <
0.100    0.025 < P-value <
0.0500.010 < P-value < 0.0250.005 <
P-value < 0.010P-value < 0.005

(d). Based mostly on the solutions to elements (a-c), would you agree or decline?
Reject the null speculation.

Since P-vAlue > αWe fail to simply accept
For the reason that P-vAlue > αWe
Reject the null speculation.    The
P-vAlue ≤ αSince
The P-vAlue ≤ αWe fail to simply accept the null

(e) Use the context to interpret your conclusion

There may be not sufficient proof to help significance on the stage of 5%
Kansas has a better variance in annual salaries than the remainder of the nation.
There may be sufficient proof to help the importance stage of 5%
The variance in annual salaries was better in conclusion.

(f). Discover the required confidence interval in your inhabitants
variance. (Spherical your solutions as much as two decimal locations.

decrease restrict
higher restrict    

Interpret the information in context.

We’re 95% sure σ2 lieS above this
We’re assured 95% of the time. σ2 lieS
Inside this time-frame.    We’re 95% assured
This σ2 lieS exterior this interval.We’re 95%
We’re assured σ2 lieS beneath this interval.

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