For a certain drug, based on standards set by the United States Pharmacopeia (USP) - an official public standards-setting authority for all prescription and over-the-counter medicines and other health care products manufactured or sold in the United States, a standard deviation of capsule weights of less than 1 mg is acceptable. A sample of 44 capsules was taken and the weights are provided below:

99.5	99.1	99.9	99.4	101.2
99.6	100	102.5	100.2	100.4
98.8	101.7	101.1	101.5	100
98.6	98.9	98.7	101.1	100.1
101.1	100.1	99.3	100.4	100.1
100.7	99.5	99.8	99.6	100.3
98	99	99.6	101.8	102.1
98.1	99.1	100.2	99.1	100.1
98.1	101	100.8	99.6

(Note: The average and the standard deviation of the data are respectively 100 g and 1.08 g.)

At 10% significance level, test the claim that the standard deviation of capsule weights of the drug is greater than 1 g.

Procedure: Select an answer One mean Z Hypothesis Test One proportion Z Hypothesis Test One variance χ² Hypothesis Test One mean T Hypothesis Test

Assumptions: (select everything that applies)

Step 1. Hypotheses Set-Up:

$\displaystyle {H}_{{0}}:$ Select an answer μ p σ² =	, where ? μ σ p is the Select an answer population proportion population standard deviation population mean and the units are ? kg lbs g mg
$\displaystyle {H}_{{a}}:$ Select an answer μ p σ² ? < ≠ >	, and the test is Select an answer Right-Tail Left-Tail Two-Tail

Step 2. The significance level $\displaystyle \alpha=$ %

Step 3. Compute the value of the test statistic: Select an answer z₀ χ²₀ t₀ f₀ = (Round the answer to 3 decimal places)

Step 4. Testing Procedure: (Round the answers to 3 decimal places)

CVA	PVA
Provide the critical value(s) for the Rejection Region:	Compute the P-value of the test statistic:
left CV is and right CV is	P-value is

Step 5. Decision:

CVA	PVA
Is the test statistic in the rejection region?	Is the P-value less than the significance level?
? yes no	? no yes

Conclusion: Select an answer Reject the null hypothesis in favor of the alternative. Do not reject the null hypothesis in favor of the alternative.

Step 6. Interpretation:

At 10% significance level we Select an answer DO DO NOT have sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.