A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.23. A dietician is asked to test this claim and finds that a random sample of 16 servings has a variance of 1.16. 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. H2: o21.23 (Claim) Ha: o1.23 (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. OA. The rejection region is x2 and x2> O B. The rejection regions are x < O C. 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. enough evidence to at the 1% level of significance to reject the manufacturer's claim that the variance of the number of grams of Ho. There carbohydrates in servings of its tortilla chips is 1.23. Click to select your answer(s). NOV tv 22 k Pro DO DII O00 O0D 20 F11 F9 F10 F8 F 7 F6 F5 F4 F3 F2 & # $

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 14PPS
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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 1.23. A dietician is asked to test this
claim and finds that a random sample of 16 servings has a variance of 1.16. 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.
H2: o21.23 (Claim)
Ha: o1.23
(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.
OA. The rejection region is x2
and x2>
O B. The rejection regions are x <
O C. 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.
enough evidence to at the 1% level of significance to reject the manufacturer's claim that the variance of the number of grams of
Ho. There
carbohydrates in servings of its tortilla chips is 1.23.
Click to select your answer(s).
NOV
tv
22
k Pro
DO
DII
O00
O0D
20
F11
F9
F10
F8
F 7
F6
F5
F4
F3
F2
&
#
$
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 1.23. A dietician is asked to test this claim and finds that a random sample of 16 servings has a variance of 1.16. 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. H2: o21.23 (Claim) Ha: o1.23 (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. OA. The rejection region is x2 and x2> O B. The rejection regions are x < O C. 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. enough evidence to at the 1% level of significance to reject the manufacturer's claim that the variance of the number of grams of Ho. There carbohydrates in servings of its tortilla chips is 1.23. Click to select your answer(s). NOV tv 22 k Pro DO DII O00 O0D 20 F11 F9 F10 F8 F 7 F6 F5 F4 F3 F2 & # $
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