Use the 5-step solution for each of the following problems.

Example:

1. Ho: = = =

;

Ha: Not all the are equal or at least one pair of means is significantly different.

2. = 0.01, = 0.105792

3. Decision Rule: Reject Ho if p-value

4. Decision: Do not reject Ho

5. Conclusion: There is no significant difference in the average number of bottles of vinegar sold.

1. A drug company alleges that the average time for a cough syrup to take effect is 15 minutes, with standard deviation of 3 minutes. In a random sample of 49 patients, the average time was 18 minutes. Test the company's allegation against the alternative that the average time is not 15 minutes using 15 minutes using 1% level of significance.

Null Hypothesis:

A drug company alleges that the average time for a cough syrup to take effect is 15 minutes.

Symbol: Ho: M = 15

Alternative Hypothesis:

The company's test allegation that the average time is not 15 minutes.

Symbol: Ha: M 15