identify hypotheses. Write the null and alternative hypotheses in words and then symbols foreach of the following situations.(a) A tutoring company would like to understand if most students tend to improve their grades(or not) after they use their services. They sample 200 of the students who used their servicein the past year and ask them if their grades have improved or declined from the previousyear.(b) Employers at a firm are worried about the effect of March Madness, a basketball championship held each spring in the US, on employee productivity. They estimate that on a regular businessday employees spend on average 15 minutes of company time checking personal email, makingpersonal phone calls, etc. They also collect data on how much company time employees spendon such non-business activities during March Madness. They want to determine if these dataprovide convincing evidence that employee productivity changed during March Madness.(c) Since 2008, chain restaurants in California have been required to display calorie counts ofeach menu item. Prior to menus displaying calorie counts, the average calorie intake of dinersat a restaurant was 1100 calories. After calorie counts started to be displayed on menus, a nutritionist collected data on the number of calories consumed at this restaurant from arandom sample of diners. Do these data provide convincing evidence of a difference in theaverage calorie intake of a diners at this restaurant