A nutrition bar manufacturer claims that the standard deviation of the number of grams of carbohydrates in
Question:
A nutrition bar manufacturer claims that the standard deviation of the number of grams of carbohydrates in a bar is 1.11 grams. A random sample of 26 bars has a standard deviation of 1.19 grams. At α = 0.05, is there enough evidence to reject the manufacturer’s claim? Assume the population is normally distributed.
For each exercise, perform the steps below.
(a) Identify the claim and state H0 and Ha.
(b) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning.
(c) Choose one of the options.
Option 1: Find the critical value(s), identify the rejection region(s), and find the appropriate standardized test statistic.
Option 2: Find the appropriate standardized test statistic and the P-value.
(d) Decide whether to reject or fail to reject the null hypothesis.
(e) Interpret the decision in the context of the original claim.
Step by Step Answer:
Elementary Statistics Picturing The World
ISBN: 9780134683416
7th Edition
Authors: Ron Larson, Betsy Farber