A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.33. A dietician is asked to test this claim and finds that a random sample of 24 servings has a variance of 1.37. At α=0.01​, is there enough evidence to reject the​ manufacturer's claim? Assume the population is normally distributed. Complete parts​ (a) through​ (e) below.       ​(a) Write the claim mathematically and identify H0 and Ha.     A. H0​: σ2≤1.33 ​(Claim) Ha​: σ2>1.33   B. H0​: σ2≠1.33 Ha​: σ2=1.33 ​(Claim)   C. H0​: σ2≥1.33 Ha​: σ2<1.33 ​(Claim)   D. H0​: σ2=1.33 ​(Claim) Ha​: σ2≠1.33 ​(b) Find the critical​ value(s) and identify the rejection​ region(s).   The critical​ value(s) is(are) enter your response here. ​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.) Choose the correct statement below and fill in the corresponding answer boxes.     A. The rejection region is χ2enter your response here.   C. The rejection regions are χ2enter your response here. ​(c) Find the standardized test statistic χ2.   enter your response here ​(Round to two decimal places as​ needed.) ​(d) Decide whether to reject or fail to reject the null​ hypothesis, and​ (e) interpret the decision in the context of the original claim. Fill in the correct answers below.   ▼   Fail to reject Reject H0. There ▼   is is not enough evidence to at the 1​% level of significance to reject the​ manufacturer's claim that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.33.       TextbookCalculator

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is
1.33.
A dietician is asked to test this claim and finds that a random sample of
24
servings has a variance of
1.37.
At
α=0.01​,
is there enough evidence to reject the​ manufacturer's claim? Assume the population is normally distributed. Complete parts​ (a) through​ (e) below.
 
 
 
​(a) Write the claim mathematically and identify
H0
and
Ha.
 
 
A.
H0​:
σ2≤1.33
​(Claim)
Ha​:
σ2>1.33
 
B.
H0​:
σ2≠1.33
Ha​:
σ2=1.33
​(Claim)
 
C.
H0​:
σ2≥1.33
Ha​:
σ2<1.33
​(Claim)
 
D.
H0​:
σ2=1.33
​(Claim)
Ha​:
σ2≠1.33
​(b) Find the critical​ value(s) and identify the rejection​ region(s).
 
The critical​ value(s) is(are)
enter your response here.
​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)
Choose the correct statement below and fill in the corresponding answer boxes.
 
 
A.
The rejection region is
χ2<enter your response here.
 
B.
The rejection region is
χ2>enter your response here.
 
C.
The rejection regions are
χ2<enter your response here
and
χ2>enter your response here.
​(c) Find the standardized test statistic
χ2.
 
enter your response here
​(Round to two decimal places as​ needed.)
​(d) Decide whether to reject or fail to reject the null​ hypothesis, and​ (e) interpret the decision in the context of the original claim. Fill in the correct answers below.
 
 
Fail to reject
Reject
H0.
There
 
is
is not
enough evidence to at the
1​%
level of significance to reject the​ manufacturer's claim that the variance of the number of grams of carbohydrates in servings of its tortilla chips is
1.33.
 
 
 
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