A snack food manufacturer estmates that the variance of the number of grams of carbohydrates in servings of its tortila chips is 1 21 A dietician is asked to test this claim and finds that a random sample of 22 servings has a vanance of 1.08. At a-0.10, is there enough evidence to reject the manufacturer's claim? Aasum population in normally distributed. Complete parts (a) through (e) below (a) Wirte the claim mathematically and identily Hg and H OA H es121 (Clam) H, 121 OC 121 H, e121 (Claim) OB. H, o121 (Clam) H, o121 OD. H a121 H, 121 (Claim) (b) Find the critical value(s) and identify the rejection region(s) The critical value(s) is(are) (Round to two decimal places as needed Use a comma to separate antwers an needed) Choose the comect statement below and fill in the coresponding answer boxes OA The rejection regions are y< and > OB The rejection region is OC. The rejection region is (e) Find the standardized test statistic (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 onginal clam Fill in the correct answers below H, There enough evdence to at the 10% level of significance to reject the manufacture's claim that the vaniance of the number of grams of carbohydrates in servings of its tortila chips is 121

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Part d answer choices are : first blank , reject or fail to reject . Second blank is , is it is not 

A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.21. A dietician is asked to test this claim and finds that a random sample of 22 servings has a variance of 1.08. At α = 0.10, 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.

Options:
1. A. H0: σ² = 1.21 (Claim)
   Ha: σ² ≠ 1.21

2. B. H0: σ² ≠ 1.21 (Claim)
   Ha: σ² = 1.21

3. C. H0: σ² ≥ 1.21
   Ha: σ² < 1.21 (Claim)

4. D. H0: σ² ≤ 1.21
   Ha: σ² > 1.21 (Claim)

(b) Find the critical value(s) and identify the rejection region(s).

The critical value(s) is/are: ______
(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:

Options:
1. A. The rejection regions are χ² < ______ or χ² > ______.

2. B. The rejection region is χ² < ______.

3. C. The rejection region is χ² > ______.

4. D. There is no rejection region.

(c) Find the standardized test statistic χ².

χ² = ______
(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:

Options:
1. Reject H0. There is enough evidence at the 10% 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 1.21.

2. Fail to reject H0. There is not enough evidence at the 10% 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 1.21.

[Checkboxes for selection]

[End of transcription]
Transcribed Image Text:A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.21. A dietician is asked to test this claim and finds that a random sample of 22 servings has a variance of 1.08. At α = 0.10, 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. Options: 1. A. H0: σ² = 1.21 (Claim) Ha: σ² ≠ 1.21 2. B. H0: σ² ≠ 1.21 (Claim) Ha: σ² = 1.21 3. C. H0: σ² ≥ 1.21 Ha: σ² < 1.21 (Claim) 4. D. H0: σ² ≤ 1.21 Ha: σ² > 1.21 (Claim) (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are: ______ (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: Options: 1. A. The rejection regions are χ² < ______ or χ² > ______. 2. B. The rejection region is χ² < ______. 3. C. The rejection region is χ² > ______. 4. D. There is no rejection region. (c) Find the standardized test statistic χ². χ² = ______ (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: Options: 1. Reject H0. There is enough evidence at the 10% 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 1.21. 2. Fail to reject H0. There is not enough evidence at the 10% 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 1.21. [Checkboxes for selection] [End of transcription]
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