An asthma severity index is evaluated in 25 patients after taking certain medication. A manufacturer of the medication claims that the mean asthma severity index after taking this medication does not exceed 52. The descriptive statistics of patient severity index after taking this medication are: Severity Index: (Mean, StDev, Minimum, Q1, Median, Q3, Maximum) = (54.55, 20.56, 23.00, 46.00, 49.00, 59.00, 92.00), respectively.

1) To test the manufacturer's claim, the appropriate null and alternative hypotheses are

H0: =52, Ha: 52

H0: >=52, Ha: <52

H0: <= 52, Ha: >52

H0: <52, Ha: >= 52

2)The value of the test statistic is

0.62

0.876

1.52

0.434

3)The p-value is

greater than .106

between .003 and .008

between .014 and .028

between .056 and .073

4)What decision is reached at 0.05 level of significance?

retain the null hypothesis

reject the null hypothesis