Answered: In order for a new drug to be sold on…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2AGP

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Question

In order for a new drug to be sold on the market, the variance of the active ingredient in each dose should be 0.02mg. A random sample of 12 tablets with a dosage strength of 56.02mg is taken. The variance of the active ingredient from this sample is found to be 0.0055. Does the data suggests at α=0.05 that the variance of the drug in the tablets is less than the desired amount? Assume the population is normally distributed.

Step 1: State the null and alternative hypotheses. Round to four decimal places when necessary.

Step 2: Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer to three decimal places.

Step 3: Determine the value of the test statistic. Round your answer to three decimal places.

Step 4: Make the decision and 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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