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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
32.7
28.5
30.4
32.6
30.6
35.8
36.4
34.2
33.5
31.8
32.5
28.4
33.8
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.
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