Tood man cturer estimates that the vaiance of numbe grams of carbonydrates in servings tortilla chips 1.36. A dietician is asked to test this claim and finds that a random sample of 16 servings has a a = 0.05, 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 B. Ha: o2s1.36 (Claim) H:o?>1.36 O A. Ho: o2 =1.36 (Claim) H: 02 #1.36 OC. Ho: o?21.36 H:o2 <1.36 (Claim) O D. H,: 02 #1.36 H:o2 = 1.36 (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. O A. The rejection regions are x2 < and x?> O B. The rejection region is x2 <. OC. The rejection region is x? >.

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Fail to reject / reject H0. There is / is not enough evidence to at the 5​% 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.

(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 5% 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.
Transcribed Image Text:(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 5% 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 1.41. At
a = 0.05, 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.
О А. Но:
B. Ho: o2 s 1.36 (Claim)
Hai o²> 1.36
= 1.36 (Claim)
Ha:
o2 + 1.36
O C. Ho: o2> 1.36
D. Ho: o2 + 1.36
H: o2 < 1.36 (Claim)
Ha: o2 = 1.36 (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.
A. The rejection regions are x<
and x2 >
B. The rejection region is x2 <
C. The rejection region is x2 >.
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 1.41. At a = 0.05, 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. О А. Но: B. Ho: o2 s 1.36 (Claim) Hai o²> 1.36 = 1.36 (Claim) Ha: o2 + 1.36 O C. Ho: o2> 1.36 D. Ho: o2 + 1.36 H: o2 < 1.36 (Claim) Ha: o2 = 1.36 (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. A. The rejection regions are x< and x2 > B. The rejection region is x2 < C. The rejection region is x2 >.
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