SOLUTION: 3. At a level of significance of 0.10, Can we conclude that the following 400 observations follow a poisson distribution with λ = 3. No. of arrivals per hour 0 1 2 3 4

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Question 272654: 3. At a level of significance of 0.10, Can we conclude that the following 400 observations follow a poisson distribution with λ = 3.
No. of arrivals per hour 0 1 2 3 4 5 or more
No. of hours 20 57 98 85 78 62


4. A company recruits personnel for its sales department on the basis of special tests designed to judge the potential of the candidates. The following table gives test scores and the mean daily sales for 9 executives.
a. Fit a regression line of Y on X.
b. Prepare a table of predicted values and residuals.
Mean daily Score(Y)
34 39 30 33 36 38 45 41 48
Test Score (X)
59 69 50 56 64 66 77 73 83



Answer 2
0-24 = zero
25-49 = 10.56%
50-74 = 26.13%
75-99 = 13.16%
100 = 50%


Answer 3
At a level of significance of 0.10 we have chi-square statistic = 9.236
Since the observed value of chi-square14.5023 is more than 9.236
Therefore poisson distribution is inadequate with λ = 3.

Answer 4
y = 24.77 + 1.12 x
Below we represent a table of predicted values and residuals values.

Residuals (x) 10 20 30 40 50 60 70
Predicated (y) 35.97 47.17 58.37 69.57 80.77 91.97 103.17
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Answer 2
0-24 = zero
25-49 = 10.56%
50-74 = 26.13%
75-99 = 13.16%
100 = 50%


Answer 3
At a level of significance of 0.10 we have chi-square statistic = 9.236
Since the observed value of chi-square14.5023 is more than 9.236
Therefore poisson distribution is inadequate with λ = 3.

Answer 4
y = 24.77 + 1.12 x
Below we represent a table of predicted values and residuals values.

Residuals (x) 10 20 30 40 50 60 70
Predicated (y) 35.97 47.17 58.37 69.57 80.77 91.97 103.17




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