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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 1.39. A dietician is asked to test this claim and finds that a random sample of 22 servings has a variance of 1.23. At a = 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 Ho and Ha O A. Ho: o = 1.39 (Claim) O B. Ho:+1.39 H:o? #1.39 H:o = 1.39 (Claim) O D. Ho: o21.39 H: o? <1.39 (Claim) Oc. Họ: s1.39 (Claim) H:o? > 1.39 (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. O A. The rejection regions are y< and x >. O B. The rejection region is y >. OC. The rejection region is y< (c) Find the standardized test statistic y O (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. V Ho. There V enough evidence to 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 1.39.

A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.39. A dietician is asked to test this claim and finds that a random sample of 22 servings has a variance of 1.23. At a = 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 Ho and Ha O A. Ho: o = 1.39 (Claim) O B. Ho:+1.39 H:o? #1.39 H:o = 1.39 (Claim) O D. Ho: o21.39 H: o? <1.39 (Claim) Oc. Họ: s1.39 (Claim) H:o? > 1.39 (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. O A. The rejection regions are y< and x >. O B. The rejection region is y >. OC. The rejection region is y< (c) Find the standardized test statistic y O (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. V Ho. There V enough evidence to 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 1.39.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.39. A dietician is asked to test this claim and finds that a random sample of 22 servings has a variance of 1.23. At a = 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 Ho and Ha. O A. Ho:o?: o2 + 1.39 = 1.39 (Claim) O B. Họ: o + 1.39 Hgio? = 1.39 (Claim) O C. Ho: o <1.39 (Claim) D. Ho: o 2 1.39 Ha: o < 1.39 (Claim) > 1.39 (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. A. The rejection regions are x < and x > 2 B. The rejection region is x > OC. The rejection region is x (c) Find the standardized test statistic x. (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. Ho. There enough evidence to 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 1.39.
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 1.39. A dietician is asked to test this claim and finds that a random sample of 22 servings has a variance of 1.23. At a = 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 Ho and Ha. O A. Ho:o?: o2 + 1.39 = 1.39 (Claim) O B. Họ: o + 1.39 Hgio? = 1.39 (Claim) O C. Ho: o <1.39 (Claim) D. Ho: o 2 1.39 Ha: o < 1.39 (Claim) > 1.39 (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. A. The rejection regions are x < and x > 2 B. The rejection region is x > OC. The rejection region is x (c) Find the standardized test statistic x. (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. Ho. There enough evidence to 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 1.39.
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