# Math Course Essay

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Work in Class(Ch. 7 & 8) Math 1342 Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) High temperatures in a certain city for the month of August follow a uniform distribution over the interval 65°F to 87°F. What is the probability that a randomly selected August day has a high temperature that exceeded 70°F? A) 0.2273 B) 0.7727 C) 0.4605 D) 0.0455 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 2) You are performing a study about the weight of preschoolers. A previous study found the weights to be normally distributed with a mean of 30 and a standard deviation of 4. You randomly sample 30 preschool children and find their weights to be as follows. 25 25 26 26.5 27 27 27.5 28 28 28.5 29 29 30 30 30.5 31 31 32 32.5 32.5 33 33 34 34.5 35 35 37 37 38 38 a) Draw a histogram to display the data. Is it reasonable to assume that the weights are normally distributed? Why? b) Find the mean and standard deviation of your sample. c) Is there a high probability that the mean and standard deviation of your sample are consistent with those found in previous studies? Explain your reasoning. 2) 1) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 3) The graph of a normal curve is given. Use the graph to identify the value of µ and . 3) 70 79 A) µ = 9, = 97 88 97 106 115 B) µ = 97, = 27 124 C) µ = 27, = 97 D) µ = 97, =9 4) 4) The normal density curve is symmetric about A) An inflection point B) A point located one standard deviation from the mean C) The horizontal axis D) Its mean 1 5) The area under a standard normal density curve with mean of 0 and standard deviation of 1 is A) 1 B) µ + 2(3 ) C) infinite D) µ + 3 6)