i. Construct the arithmetic mean and standard deviation for the above data. ii. Estimate the 99% confidence interval for the mean grades of quantitative methods final examination. iii. Mr. Richard has used a new teaching method for quantitative methods. In the previous year the average grade was 55. Test whether the new teaching method has significantly increased students grades at 0.01 significance level.

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Mr. Richard has collected the grades of Quantitative methods final examination for 9 students in
year 2017 as follows:
a.
64
22
78
63
44
55
39
58
64
Required:
i.
Construct the arithmetic mean and standard deviation for the above data.
ii.
Estimate the 99% confidence interval for the mean grades of quantitative methods final
examination.
Mr. Richard has used a new teaching method for quantitative methods. In the previous
year the average grade was 55. Test whether the new teaching method has significantly
increased students grades at 0.01 significance level.
ii.
Explain the meaning of Type I and Type Il errors and determine the type of error might
have been made in part (biji) above.
iv.
Transcribed Image Text:Mr. Richard has collected the grades of Quantitative methods final examination for 9 students in year 2017 as follows: a. 64 22 78 63 44 55 39 58 64 Required: i. Construct the arithmetic mean and standard deviation for the above data. ii. Estimate the 99% confidence interval for the mean grades of quantitative methods final examination. Mr. Richard has used a new teaching method for quantitative methods. In the previous year the average grade was 55. Test whether the new teaching method has significantly increased students grades at 0.01 significance level. ii. Explain the meaning of Type I and Type Il errors and determine the type of error might have been made in part (biji) above. iv.
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