A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.31. A dietician is asked to test this claim and finds that a random sample of 19 servings has a variance of 1.49. 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 H O B. Ho o?1.31 H o =1.31 (Claim) O A. Ho: os1.31 (Claim) Hạ o? > 1.31 OC. Ho o21.31 Ha o? <1.31 (Claim) OD. Ho o? =1.31 (Claim) Hi o? ±1.31 (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 y > O B. The rejection region is < Oc. The rejection region is ?> (c) Find the standardized test statistic ? (Round to two decimal places as needed.)

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 1.31. A dietician is asked to test this claim and finds that a random sample of 19 servings has a variance of 1.49. 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 H, and Ha.
O A. Ho: o2 s1.31 (Claim)
О В. Но: о? +1.31
Ha: o? > 1.31
Ha: o? = 1.31 (Claim)
ОС. На: о?>1.31
O D. Ho: o2 =1.31 (Claim)
Ha: o? < 1.31 (Claim)
Hzi o? ± 1.31
(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 x-
and x2 >
O B. The rejection region is x <
OC. The rejection region is
(c) Find the standardized test statistic x?.
(Round to two decimal places as needed.)
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 1.31. A dietician is asked to test this claim and finds that a random sample of 19 servings has a variance of 1.49. 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 H, and Ha. O A. Ho: o2 s1.31 (Claim) О В. Но: о? +1.31 Ha: o? > 1.31 Ha: o? = 1.31 (Claim) ОС. На: о?>1.31 O D. Ho: o2 =1.31 (Claim) Ha: o? < 1.31 (Claim) Hzi o? ± 1.31 (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 x- and x2 > O B. The rejection region is x < OC. The rejection region is (c) Find the standardized test statistic x?. (Round to two decimal places as needed.)
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