Professor L believes that English lecturer DL repeats phrases in his speeches mo

Question

Professor L believes that English lecturer DL repeats phrases in his speeches more than previous lecturers. He counted the number of repeated phrases in DL's 14 most recent lectures, with the results indicated in the table on the bottom. The mean number of repeated phrases per lecture across the previous 10 lecturers was 5.2, with a standard deviation of 1.3. Is DL's phrase repetition rate higher than past lecturers? Use the four-step hypothesis testing procedure and calculate the effect size and confidence interval associated with the data.

14

# of phrase repetitions per speech by DL 14 7 5 8 8 13 7 9 12 8 7 10 11

14

Explanation / Answer

here null hypothesis: mean =5.2

alternate hypothesis: mean>5.2

here test stat t =(X-mean)/std error =(9.5-5.2)/0.769 = 5.591

for above test stat p vlaue at 13 degrees of freedom =0.0000

as p value is less then 0.05 level of significance ; we reject null hypothesiss and conclude that repeats phrases in his speeches more than previous lecturers.

X 14 7 5 8 8 13 7 9 12 8 7 10 11 14 mean(X) 9.500 std deviation(S) 2.876 std error =S/(n)1/2 0.769

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