The mean length at birth of 14 male infants was 53 cm. If the length of infant males is normally distribution with a standard deviation of 9 cm, can one conclude on the basis of these data that the population mean is not 50 cm? Let the maximum probability of committing a type I error be 0.10. What is the alternative hypothesis? What is the test statistic? What is the p-value? What is the conclusion?

The mean length at birth of 14 male infants was 53 cm. If the length of infant males is normally distribution with a standard deviation of 9 cm, can one conclude on the basis of these data that the population mean is not 50 cm? Let the maximum probability of committing a type I error be 0.10. What is the alternative hypothesis? What is the test statistic? What is the p-value? What is the conclusion?

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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Question

What is the alternative hypothesis?

What is the test statistic?

What is the p-value?

What is the conclusion?

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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