Answered: Claudia’s bakery business has taken…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Question

Claudia’s bakery business has taken off. Her goods are so popular that she has decided to invest in kitchen equipment that will do some of the work for her. One machine in particular prepares bread dough, and it is set to measure 9 grams of yeast per loaf. Because baking requires precise measurements, she wants to test the new machine to make sure that the variance in the amounts of yeast per loaf is less than 0.33, at the 0.10 level of significance. A sample of the amounts of yeast added to the dough for 18 loaves has a variance of 0.15. Does this evidence support the claim that the new machine produces dough with a variance in the amounts of yeast per loaf of less than 0.330.33? Assume that the amounts of yeast per loaf are normally distributed.

Step 1 of 3 :

State the null and alternative hypotheses for the test. Fill in the blank below.

H0: σ2= 0.33:

Ha: σ2⎯⎯⎯⎯ 0.33

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.

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