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6- A)Verify that a 95% level of confidence requires a 1.96-standard-deviation interval. B)Verify that the level of confidence for a...
8.6- A)Verify that a 95% level of confidence requires a 1.96-standard-deviation interval.B)Verify that the level of confidence for a 2-stanard-deviation interval is 95.44%.8.24- State the null and alternative hypotheses for each of the following:A) You want to show an increase in buying and selling of single-family homes this year when compared with last year's rate.B) You are testing a new recipe for "low-fat" cheesecake and expect to find that it's taste is not as good as traditional cheesecake.C) You are trying to show that music lessons have a positive effect on a child's self-esteem.D) You are investigating the relationship between a person's gender and the automobile he or she drives- specifically you want to show that males tend to drive truck type vehicles more than females do.9.40- A commercial farmer harvests his entire field of a vegetable crop at one time. Therefore, he would like to plant a variety of green beans that mature all at one time (small standard deviation between maturity of individual plants).A seed company has developed a new hybrid strain of green beans that it believes to be better for the commercial farmer. The maturity time of the standard variety has an average of 50 days and a standard deviation of 2.1 days. A random sample of 30 plants of the new hybrid showed a standard deviation of 1.65 days. Does this sample show a significant lowering of the standard deviation at the 0.05 level of significance? Assume that maturity time is normally distributed.A) Solve using the p-value approachB) Solve using the classical approach.
