a parenting magazine claims that 14 to 18 year-olds spend 5 hours per day, on average, on social media. for her science fair project, lin tests her belief that the average time is actually less than what the parenting magazine claims. she collects information from a simple random sample of 19 students at her high school (between the ages of 14 and 18), and calculates a mean of 4.7 hours with a standard deviation of 0.9 hours. assume that the population distribution is approximately normal. test lin's claim at the 0.05 level of significance. part a (10 points): state the null and alternative hypotheses for this problem. make sure to clearly label each hypothesis by either using the correct term or notation. part b (30 points): perform the hypothesis test using any applicable method you choose. show all relevant work and follow these expectations: your work should be easy to read and follow. use correct notation with any values you find/use so it is easy to know what's what. if you use formulas, write the formula you use before you substitute the variables with values. as always, use the equation editor to type all mathematical equations and formulas as needed. if you use tables, describe your process in detail, including which tables you use. if you use your calculator, include any commands, as well as the input and output. round your answer(s) appropriately. part c (10 points): in a complete sentence, state whether the null hypothesis should be rejected or not rejected (e.g., fail to reject). give a reason to support your answer citing specific work/answers from parts a and b you used to make your decision. part d (10 points): should lin's belief that 14 to 18 year-olds spend less than 5 hours per day, on average, on social media be supported? yes or no? give a reason to support your answer citing specific work/answers from the previous parts you used to make your decision.