A ninth-grade teacher wishes to see if a new spelling progra…

A ninth-grade teacher wishes to see if a new spelling program will reduce the spelling errors in his students’ writing.  The number of spelling errors made by students in a five-page report before the program is shown. Then the number of spelling errors made by students in a five-page report after the program is shown.  Test the claim that the mean of the differences is not zero. Results Table Before 8 3 10 5 9 11 12 After 6 4 8 1 4 7 11   State the claim and opposite symbolically. State the Null and alternate hypotheses symbolically. Identify the significance level Find the test statistic Find the P-value State the decision State the conclusion

A wedding caterer randomly selects clients from the past few…

A wedding caterer randomly selects clients from the past few years and records the months in which the wedding receptions were held. The results are listed below.  Use a 0.05 significance level to test the claim that weddings are held in the different months fit a uniform distribution.  Results Table Month Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec Number 5 8 6 8 11 14 10 9 10 12 8 9   State the claim and its opposite symbolically. State the null and alternative hypotheses symbolically. Identify the significance level. Find the Chi-square test statistic Find the p-value State the decision State the conclusion