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

Problem 1P

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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.

TextbookCalculator

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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