Hypothesis, ANOVA, Chi square
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1) Experiment was conducted at the .01 level of significance. The one-tailed test with the rejection area in the upper tail of the z-curve was used. Computed z-score was 1.79. What does it mean?
A. We should reject H0 and accept H1.
B. We should not reject H0.
C. We should have used the .05 level of significance.
D. We should increase the sample size.
2) A new model of digital camera is marketed in three major department store chains. The number of cameras sold every month at each of three store chains is listed below.
Target K Mart Wal Mart
177 164 180
200 144 213
191 170 198
188 151 204
At 0.05 level of significance, is there a difference in the mean numbers of cameras sold at the three department store chains?
A. State the null and the alternative hypothesis.
B. Compute SS total, SST, and SSE.
C. Develop an ANOVA table
D. What is the decision regarding the null hypothesis (is there a difference in the mean numbers of cameras sold at the three department store chains)?
3) The owner of a car dealership wants to determine whether there is a relation between the income level and the type of vehicle purchased in their dealership. He randomly sampled 500 car buyers and obtained the following data:
Income Level SUV/Minivan Midsize Compact
up to $30K/yr 13 71 106
$30K-$60K 33 76 45
more than $60K/yr 66 59 31
At the .05 level of significance, determine whether there is a relation between the income level and the type of vehicle purchased. Show your work step by step.
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