Find confidence interval for the mean percentage investment

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Reference no: EM131384568

Percentage investment in new-product development is monitored for a pharmaceutical company by quarter. The observations are listed row wise:

32.9

31.5

34.3

36.8

35.0

29.4

33.2

37.8

35.0

32.7

28.5

30.4

32.6

31.5

30.6

35.8

36.4

34.2

35.0

33.5

31.8

32.5

28.4

33.8

35.1

30.2

33.0

34.6

32.4

32.0

(a) Can we conclude that the sequence of investment percentages is random? Use α= 0.05.

(b) Is there clustering? Is there a trend? Use α = 0.05.

(c) Can you conclude that the distribution of investment percentages is normal? Use α= 0.01.

(d) Find a 98% confidence interval for the mean percentage investment.

(e) Find a 98% confidence interval for the standard deviation of the percentage investment.

(f) Can we conclude that the mean percentage investment in new products exceeds 31%? Use α = 0.01. What is the p-value? Explain.

Reference no: EM131384568

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