Graded Worksheet E3 Name: ________________ This needs to be completed and emailed to burelle@hartford.edu by the due date announced in Course Compass.For each problem: (1) Write the null hypothesis and alternative hypothesis (!) "er#orm a hypothesis test usin$ %tat&runch' and report the test statistic and P(value (3) )o you re*ect the null hypothesis (+E%,N-).1. The birth weights (in kilograms) are recorded for a sample of male babies born to mothers taking aspecial vitamin supplement (based on data from the New York State Department of ealth).!iven the sample si"e is 1#$ with mean of %.#&' kg and standard deviation of (.#'&$ test the claim using a (.(1 significance level that the mean birth weight for all male babies of mothers given vitamins is e)ual to %.%* kg$ which is the mean for the population of all males babies. +. , manufacturer states that the average lifetime of its light bulbs is % -ears or %# months., consumer group thinks the- e.aggerate.The- select fift- bulbs$ and the average lifetime is found to be %+ months with the standard deviation of / months.Should the manufacturer0s statement be re1ected at 2 (.(13 %. , national maga"ine claims that the average college student watches less television than the general public.The national average is +*.4 hours per week., sample of %( college students has mean +& hours and standard deviation + hours.5s there evidence to support the claim at 2 (.(134. eather 6arielli is a former student who earned a 7aster0s degree in statistics.8hen she randoml- selected 1# new te.tbooks in the college bookstore$ she found that the- had prices with a mean of9&(.41 and a standard deviation of 91*.&(.5s there sufficient evidence to warrant re1ection of a claim in thecollege catalog that the mean price of a te.tbook at this college is 9&'3:se 2 (.('.