A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is1.34.A dietician is asked to test this claim and finds that a random sample of16servings has a variance of1.22.Atα=0.05,is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below.

Name: A snack food manufacturer estimates that the variance of the number of
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Description: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is1.34.A dietician is asked to test this claim and finds that a random sample of16servings has a variance of1.22.Atα=0.05

The provided sample variance is s2=1.22s^2 = 1.22 and the sample size is given by n=16n = 16 Null…

Answered: α=0.05, is there enough evidence to…

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

1.34.

A dietician is asked to test this claim and finds that a random sample of

servings has a variance of

1.22.

α=0.05,

is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Step 1

The provided sample variance is $s^2 = 1.22$ and the sample size is given by $n = 16$

Null and Alternative Hypotheses

The following null and alternative hypotheses need to be tested:

$Ho: \sigma^2 = 1.34$

$Ha: \sigma^2 \ne 1.34$

This corresponds to a two-tailed test, for which a Chi-Square test for one population variance will be used.

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