A population of wild hogs have heights that are normally distributed with a mean of 27” with a standard deviation of 8.5”. A recent Fish and Game trapping program captured 42 of these hogs and found a sample mean height of 24” and a sample standard deviation of 4.7”. Does this data give good evidence that the population of hogs have heights less than 27”. Use an alpha of 5%. What would the hypothesis look like for this situation?(A) What is the test statistic and p value for this test? (C) Test Stat =_________ P-Value =___________ Based on the P-Value and the given alpha which decision would you choose? Circle or highlight the correct choice. (B) Reject the null in favor of the alternative. Fail to reject the null in favor of the alternative. What does this outcome mean in terms of the problem?(D)

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Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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A population of wild hogs have heights that are normally distributed with a mean of 27” with a standard deviation of 8.5”. A recent Fish and Game trapping program captured 42 of these hogs and found a sample mean height of 24” and a sample standard deviation of 4.7”. Does this data give good evidence that the population of hogs have heights less than 27”. Use an alpha of 5%.

What would the hypothesis look like for this situation?(A)

What is the test statistic and p value for this test? (C)

Test Stat =_________ P-Value =___________

Based on the P-Value and the given alpha which decision would you choose? Circle or highlight the correct choice. (B)

Reject the null in favor of the alternative.

Fail to reject the null in favor of the alternative.

What does this outcome mean in terms of the problem?(D)

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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