To test H0: σ=4.5 versus H1: σ≠4.5, a random sample of size n=14 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s=6.7, compute the test statistic. (b) If the researcher decides to test this hypothesis at the α=0.10 level of significance, determine the P-value. (c) Will the researcher reject the null hypothesis?

To test H0: σ=4.5 versus H1: σ≠4.5, a random sample of size n=14 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to be s=6.7, compute the test statistic. (b) If the researcher decides to test this hypothesis at the α=0.10 level of significance, determine the P-value. (c) Will the researcher reject the null hypothesis?

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

To test H₀: σ=4.5 versus H₁: σ≠4.5, a random sample of size n=14 is obtained from a population that is known to be normally distributed.

(a) If the sample standard deviation is determined to be s=6.7, compute the test statistic.

(b) If the researcher decides to test this hypothesis at the α=0.10 level of significance, determine the P-value.

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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