Question

The dosage of a drug in a particular tablet needs to be precise. It is essential...

The dosage of a drug in a particular tablet needs to be precise. It is essential that the tablets contain 56.04mg of the active ingredient with a variance of 0.03. A random sample of 25 tablets finds that the variance of the active ingredient is 0.026. Does the data suggests at α=0.01 that the variance of the drug in the tablets is less than the desired amount? Assume the population is normally distributed.

Step 1 of 5:

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

Step 2 of 5: 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 of 5: Determine the value of the test statistic. Round your answer to three decimal places.

Step 4 of 5: Do we reject the null hypothesis or do we fail to reject the null hypothesis?

Step 5 of 5: What is the conclusion?

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