all questions step by step 11 MATH 120 Take Home Exam # 2 Prof. Doreely Name: Da

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all questions step by step

11 MATH 120 Take Home Exam # 2 Prof. Doreely Name: Date 34. Assume that thermometer readings are normally di deviation of 1,00 C. A thermometer is randomly selected andt reading corresponding to given information. stributed with mean of O' C and standard nd the tetmperature a. Find Pas, ofthe percentile. This is the temperature reading separating the bottom 95% b. If 2.5% ofthe thermometers are re eted because they have readings are too high and another 2.5% are rejected because they have reading that are too low, find the two rcadings that are cutoff values separating the rejected thermometers from the others a randomly selected sample of women ages 20-34, the mean total cholesterol level is 188 milligrams per deciliter with a standard deviation of 41.3 milligrams pet deciliter. Assurne the total cholesterol levels are normally distributed. Find the highest total cholesterol level a woman in this 20-34 age group can have and still be in the bottom 2%. One decimal place (mmHg) and the standard deviation is 5.6. Assume the variable is normally distributed. Draw a) If an individual is selected, find the probability that the individual's pressure will be less (b) If an individual is selected, find the probability that the individual's pressure will be more 36. Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury the normal curve, label and shade the area for each question. than 121.8 mmHg. Four decimal places than 125.8 mmHg. Four decimal places If a sample of 30 adults is randomly selected, find the probability that the sample mean c) will be between 120 and 121.8 mmHg, Four decimal places 37. The monthly utility bills in a city are normally distributed, with a mean of $115 anda standard deviation of $12. Draw the normal curve, label and shade the area for each question. a) If a utility bill is randomly selected, find the probability that the utility bill is less than b) If a utility bill is randomly selected, find the probablity that the utility bill is greater than c) If 36 utility bills are randomly selected, find the probability that the average bill is $105. Four decimal places $90. Four decimal places between $110 and S120. Four decimal places RG/ Fall 2017

Explanation / Answer

34.
mean = 0
std. dev. = 1

a)
z = 1.645
xbar = 0 + 1.645*1 = 1.645

b)
z = 1.96
lower limit = 0 - 1.96*1 = -1.96
Upper limit = 0 + 1.96*1 = 1.96

35.
mean = 188
std.dev. = 41.3

z-value = -2.0537
xbar = 188 -2.0537 * 41.3 = 103.2

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