A sample of colored candies was obtained to determine the weights of different colors. The ANOVA table is shown below. It is known that the population distributions are approximately normal and the variances do not differ greatly. Use a 0.025 significance level to test the claim that the mean weight of different colored candies is the same. If the candy maker wants the different color populations to have the same mean weight, do these results suggest that the company has a problem requiring corrective action? Source: DF: S: MS: Test Stat, F: Critical F: P-Value: 1.5962 Treatment: 8 0.016 0.002 2.3662 0.1403 Error: 75 0.075 0.001 Total: 83 0.091 Should the null hypothesis that all the colors have the same mean weight be rejected? O A. No, because the P-value is greater than the significance level. O B. Yes, because the P-value is greater than the significance level. O C. Yes, because the P-value is less than the significance level. O D. No, because the P-value is less than the significance level.

The accompanying data set lists performance IQ scores for random samples of subjects with blood lead levels categorized as low (1), medium (2), and high (3). Use a 0.05 significance level to test the claim that subjects in those categories have the same median performance IQ score (IQP). Does lead exposure appear to have an adverse effect? Click the icon to view the data for IQ and Lead Exposure First determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The samples come from populations with medians that are not all equal. H₁: The samples come from populations with equal medians. O B. Ho: The samples come from populations with equal medians. H₁: The samples come from populations with medians that are not all equal. OC. Ho: The samples come from populations with equal means. H₁: The samples come from populations with means that are not all equal. O D. Ho: The samples come from populations with means that are not all equal. H₁: The samples come from…

A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage, u, of foodservice workers in the U.S. Last year's mean hourly wage was $8.08, and there is reason to believe that this year's value is different from last year's. The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $8.48, and computes the standard deviation of the sample to be $1.25. Based on this information, answer the questions below. What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? H: u is [? |H: u is ? ? In the context of this test, what is a Type II error? A Type II error is ? v the hypothesis that u is ? when, in fact, u is ? Suppose that the union decides to reject the null hypothesis. What sort of error might it be making? ?

2. Interpret this data.