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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Related questions

Question

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

servings has a variance of

1.37.

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

and

Ha.

H0:

σ2≤1.33

(Claim)

Ha:

σ2>1.33

H0:

σ2≠1.33

Ha:

σ2=1.33

(Claim)

H0:

σ2≥1.33

Ha:

σ2<1.33

(Claim)

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.

The rejection region is

χ2<enter your response here.

The rejection region is

χ2>enter your response here.

The rejection regions are

χ2<enter your response here

and

χ2>enter your response here.

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 not

enough evidence to at the

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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