A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.36. A dietician is asked to test this claim and finds that a random sample of 16 servings has a variance of 1.27. At a0.01, 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 Ho and H, OB. Hg os1.36 (Clalim) H, o²> 1.36 OD. Hg o = 1.36 (Clalm) H,i o a 1.36 OA. Hạ o2 1.36 H <1.36 (Claim) OC. Ho 1.36 136 (Claim) (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are)O (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 x> OC. The rejection region is y< (c) Find the standardized test statistic y?. O Round to two decimal places 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 Họ. There 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 1.36.
A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.36. A dietician is asked to test this claim and finds that a random sample of 16 servings has a variance of 1.27. At a0.01, 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 Ho and H, OB. Hg os1.36 (Clalim) H, o²> 1.36 OD. Hg o = 1.36 (Clalm) H,i o a 1.36 OA. Hạ o2 1.36 H <1.36 (Claim) OC. Ho 1.36 136 (Claim) (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are)O (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 x> OC. The rejection region is y< (c) Find the standardized test statistic y?. O Round to two decimal places 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 Họ. There 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 1.36.
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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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 1.36. A dietician is asked to test this claim and finds that a random sample of 16 servings has a variance of 1.27. At a = 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 H, and Ha.
O A. Ho: o?21.36
О В. На: о? s1.36 (Claim)
H,: o < 1.36 (Claim)
H:o>1.36
OC. Ho: 0 1.36
O D.
Họ: o? = 1.36 (Claim)
H,:0 = 1.36 (Claim)
H:0? + 1.36
(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 >
O B. The rejection region is x>
C. The rejection region is x <
(c) Find the standardized test statistic y?.
(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 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 1.36.
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