A cereal company claims that the mean weight of the cereal in its packets is more than 14 oz. The weights (in ounces) of the cereal in a random sample of 8 cereal packets are listed below. You may assume the sample data comes from a population that follows a normal distribution. Using a .05 level of significance test the company’s claim.14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2 State the null hypothesis H0: _____________State the alternative hypothesis H1: _____________What is the test statistic used for the test (z or t) and its value (round to 2 places)State the significance or alpha (α) levelDetermine the p-value. (round to 4 places)Do you or do you not reject the null hypothesis? Why?Write a clear conclusion using a complete sentence.

Name: A cereal company claims that the mean weight of the cereal in its pack
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Description: A cereal company claims that the mean weight of the cereal in its packets is more than 14 oz. The weights (in ounces) of the cereal in a random sample of 8 cereal packets are listed below. You may assume the sample data comes from a population that f

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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A cereal company claims that the mean weight of the cereal in its packets is more than 14 oz. The weights (in ounces) of the cereal in a random sample of 8 cereal packets are listed below. You may assume the sample data comes from a population that follows a normal distribution. Using a .05 level of significance test the company’s claim.

14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2

State the null hypothesis H0: _____________
State the alternative hypothesis H1: _____________
What is the test statistic used for the test (z or t) and its value (round to 2 places)
State the significance or alpha (α) level
Determine the p-value. (round to 4 places)
Do you or do you not reject the null hypothesis? Why?
Write a clear conclusion using a complete sentence.

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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