QUESTION THREE The Douglas Drug Company claims that its medication takes effect within 13 minutes. The following data show the times that 10 patients required before feeling the effects of the medication: 8.1, 11.6, 9.4, 15.3, 16.2, 11.3, 11.6, 15.3, 13.6, 17.2. It is assumed that the population is normally distributed. (a) Find the sample mean. (b) Find the sample standard deviation. (c) Use a 95% level of significance and test ?0: ?≤13 minutes

QUESTION THREE The Douglas Drug Company claims that its medication takes effect within 13 minutes. The following data show the times that 10 patients required before feeling the effects of the medication: 8.1, 11.6, 9.4, 15.3, 16.2, 11.3, 11.6, 15.3, 13.6, 17.2. It is assumed that the population is normally distributed. (a) Find the sample mean. (b) Find the sample standard deviation. (c) Use a 95% level of significance and test ?0: ?≤13 minutes

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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Question

QUESTION THREE
The Douglas Drug Company claims that its medication takes effect within 13 minutes. The following
data show the times that 10 patients required before feeling the effects of the medication: 8.1, 11.6, 9.4,
15.3, 16.2, 11.3, 11.6, 15.3, 13.6, 17.2.
It is assumed that the population is normally distributed.
(a) Find the sample mean.
(b) Find the sample standard deviation.
(c) Use a 95% level of significance and test ?0: ?≤13 minutes

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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