selenamr
26.08.2019 •
Mathematics
Explain how you can use structure to find the dicmal numbers that will be shown on the next four miles markers
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Ответ:
Ответ:
-
Null hypothesis H₀ : σ² ≤ 0.02
Alternative hypothesis Hₐ : σ² > 0.02
- Chi Square = 51.2
- p-value = 0.1104
- since the calculated p-value ( 0.1104 ) is greater than the level of significance ( 0.05 ).
We fail to reject null hypothesis.
- So at, 5% level of significance, there is no evidence to support that the variance in the cereal box fillings is designed to be 0.02 or less.
Step-by-step explanation:
Given the data in the question;
filling variance for boxes of cereal is designed to be .02 or less
sample size n = 41 boxes
standard deviation S = 0.16 ounces
level of significance = 0.05
Hypothesis;
Null hypothesis H₀ : σ² ≤ 0.02
Alternative hypothesis Hₐ : σ² > 0.02
{ Upper tail test }
Test statistics;
Chi Square = [ ( n-1 ) × S² ] / σ²
Chi Square = [ ( 41-1 ) × (0.16)² ] / 0.02
Chi Square = [ 40 × 0.0256 ] / 0.02
Chi Square = 1.024/ 0.02
Chi Square = 51.2
Degree of freedom df = n - 1 = 41 - 1 = 40
Chi square value at 0.05 and df of 40 = 55.7585
p-value = 0.1104
since the calculated p-value ( 0.1104 ) is greater than the level of significance ( 0.05 ).
We fail to reject null hypothesis.
So at, 5% level of significance, there is no evidence to support that the variance in the cereal box fillings is designed to be 0.02 or less.