Question

MAT 102 Directions: Answer the following questions showing all work, and giving explanations where necessary 1. A recent study claimed the average cholesterol level for all eighth grade students to be 190 with σ 30. finds their average cholesterol to be 197, Using . 5%, would this be enough evidence to indicate that the nurse is correct? a. Write the null and alternative hypothesis. You should provide the hypotheses in full sentence form as well as in symbolic form. b. Determine what type of distribution you should use for this hypothesis test and explain why you chose it. Draw a diagram and formulate the decision rule d. State whether to reject or fail to reject the null hypothesis and give your reason. e. Answer the question given in the problem above: Is the nurse correct? Explain why you think she is or isn't correct 2. The reading speed of second grade students is approximately normal, with a mean of 90 words per minute (wpm) and a standard deviation of 10 wpm. Suppose a sample of 40 second grade students is selected. a. Calculate the standard error of the sampling distribution and round your answer to four decimal places. b. Calculate the probability that the sample of 40 students has a mean less than 87 wpm. Round your answer to four decimal places.

Answer 1

Ho Mear of cholesterol leua) o au oighh mode studenrs to be 1go e qh grade shutdent is hot 140 H1 시+190 knowon Samplere is ufLicienH large RefooHon Region from tabe Re9jon Region Region

Ho Mear of cholesterol leua) o au oighh mode studenrs to be 1go e qh grade shutdent is hot 140 H1 시+190 knowon Samplere is ufLicienH large RefooHon Region from tabe Re9jon Region Region

8.3541 308o -2.0g69 to condude thas the aorog cholesterol leve fos all ehtb grade students +6 be go at 20.05