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Normal Probability, ANOVA Table & Significance of Slope

Statistics Practice Problems

SHOW ALL WORK

1. Given the following probabilities, Find Zo. Note: Graphs must be shown.

a) P(-2.67≤ z ≤ Zo) = 0.9718

b) P(Zo ≤ z ≤ 2.98) = 0.1117

2. Find the following probabilities: if µ = 160, σ = 16. Note: Graphs must be shown.

a) P(X > xo) = 0.8770

b) P(X < xo) = 0.12

c) P(X < xo) = 0.97

3. Find the percentage of Z-score in a normal distribution with µ = 75 and &#963;2 = 100 that are:
Note: Graphs must be shown.

a) between 60 and 80

b) between 40 and 65

c) greater than 83

4. Fill in the missing values in following ANOVA table

Source df SS MS F
Factor 5 205.5
Error 637
Total 25

Answer

In the above ANOVA table, is the factor significant at 5% level of significant?

5. Test each of the following hypotheses:
a) Ho: &#946; = 0
Ha: &#946; &#8800; 0

b) Ho: &#946; = 0
Ha: &#946; < 0

c) Ho: &#946; = 0
Ha: &#946; > 0

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Solution Summary

The solution provides step by step method for the calculation of normal probabilities, missing values in an ANOVA table and slope testing. Formula for the calculation and Interpretations of the results are also included.

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