In order for a new drug to be sold on the market, the variance of the active ingredient in each dose should be 0.01mg. A random sample of 10 tablets with a dosage strength of 56.94mg is taken. The variance of the active ingredient from this sample is found to be 0.0072. 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 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.
2) df = 10 - 1 = 9
Critical value = = 2.088
3) test statistic
= 6.48
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