Testing Sor Population Variances KASEY CORNIS PROBLEM The dosage of a drug in a

Question

Testing Sor Population Variances KASEY CORNIS PROBLEM The dosage of a drug in a particular tablet needs to be precise. It is essential that the tablets contatn 59.03 g of the active variance of 0.03. A random sample of 10 tablets finds that the variance or the active ngredient i00245·Does the data the variance of the drug in the tablets is less tham the desired amount? Assume the popalation is normally distributed suggests at -0.025 dat VALUE OF THE TEST STATISTIC Enter the value of the test statistic. Round your swer to three decimal places, Previous step answers Answer

Explanation / Answer

Answer: 7.35

Complete Solution:

Here, we have to use Chi square test for population variance. The null and alternative hypothesis for this test is given as below:

H0: 2 = 0.03

Ha: 2 < 0.03

This is a one tailed test. This is a left tailed test.

The test statistic formula is given as below:

Chi square = (n – 1)*S2 / 2

We are given

Population Variance = 2 = 0.03

Sample size = n = 10

Degrees of freedo = n - 1 = 10 – 1 = 9

Sample variance = S2 = 0.0245

Level of significance = = 0.025

Chi square = (10 – 1)* 0.0245 / 0.03

Chi square = 9*0.0245 / 0.03

Chi square = 7.35

P-value = 0.3993

P-value > = 0.025

Do not reject the null hypothesis that population variance is 0.03.

There is insufficient evidence to conclude that the population variance is less than 0.03.

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