A recent newspaper article reported that the average leisure time for males is less than 20 hours per week.A random sample of 30 men was selected and found to have a mean leisure time of 16.9 hours per week with a standard deviation of 6 hours per week. Use a 5 percent level of significance to test the validity of this claim.

(i) State the data type a nd parameter of interest.

Data type:

Parameter of interest:

(ii) State the Null and Alternative hypotheses:

H_o:

H_A:

(iii) State the test statistic, its distribution and the level of significance. State the required condition.

Test statistic:

Distribution of the standardised test statistic:

Level of significance:

Required conditions:

(iv) State the decision rule (in terms of the p-value):