1. In the General Social Survey people classified themselves as being very happy, pretty happy, or not too happy (variable happy ). Consider the relationship between happiness and age.

1. Compute basic descriptive statistics for each of the three happiness groups
2. Make boxplots of age for the three groups
3. Does the assumption of equal variances in the groups appear reasonable? The assumption of normality?
4. Perform a one-wav analysis of variance on these data what can you conclude?
   Which groups are significantly different from another using the Bonferroni?
5. From the analysis-of-variance table, estimate the variance of the ages within each happiness group. What is your estimate of the standard deviation within the groups? How does this compare to the actual standard deviations of each group in the table of descriptive statistics?
6. What are the three sample means that you have observed in the table of descriptive statistics? Based on the three sample means, what is your estimate of the variance of the ages within each happiness group?
7. What is the value of the ratio of the two variances?
8. If the null hypothesis is true, how often would you expect to see a ration of sample variances at least this large?

2. Do you agree or disagree with this statement: "The larger the sample, the more reliable

the results". Offer any perspective you can give from seeing large samples on such poles as American Idol versus small samples used in most workplace surveys.

3. Increasing the rejection (significance) level will increase the chance of a Type I error and decrease the chance of Type II error. Why would anyone want to increase the rejection level?

4. For each of the following situations, identify the statistical test that you would use to test the hypothesis of interest

1. You are interested in examining three temperatures and four combinations of ingredients to see if they all result in the same maximum height of a cake.
2. You want to know if people in four regions of the country spend the same amount of money on fast food.
3. You want to know if workers on an assembly line axe more productive when they are offered an incentive. You measure the productivity of the same workers before and after the incentive program.
4. You want to compare whether the average waiting time in the checkout line is the same for two chains of stores.

Price: $14.38

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