ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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- According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 68 inches and a standard deviation of 2.5 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. PLEASE ROUND TO 4 DECIMAL PLACES THANK YOU! a. What is the distribution of X? X ~ N(,)b. Find the probability that the person is between 63.2 and 66.2 inches. c. The middle 40% of Martian heights lie between what two numbers?Low: inchesHigh: inchesarrow_forwardThe number of pizzas consumed per month by university students is normally distributed with a mean of 6 and a standard deviation of 5. 1) What proportion of students consume more than 8 pizzas per month? 2) What is the probability that in a random sample of size 11, a total of more than 77 pizzas are consumed?arrow_forwardThe student academic group on a college campus claims that freshman students study at least 2.5 hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random sample of 30 freshman students and found a mean study time of 139 minutes with a standard deviation of 44 minutes. At a = 0.01 level, is the student academic group's claim correct? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) Part (b) Part (c) State alpha. (Enter an exact number as an integer, fraction, or decimal.) Part (d) Part (e) .. .... .... ..... . ...... ............................................................... ........................... Part (f)arrow_forward
- There is a normal distribution with mean 10 and standard deviation of 8. What is the z-score of a group of 16 observations averaging 15?arrow_forwardAmericans spend an average of 23.6 hours per week online, with a standard deviation of 7. The distribution of internet watching is not necessarily normally distributed. Suppose you took a random sample of 50 people. What is the probability that the sample average will be less than 23 hrs? Round your answer to three decimal places, eg 0.628.arrow_forward1.arrow_forward
- The average and standard deviation of the amount of GST paid by all sole trader businesses in Australia in a twelve month period were $5.602 thousand and $1.637 thousand respectively. If a sample of 120 sole trader businesses was chosen, find the sample average value above which only 15% of sample averages would lie. Give your answer in dollars (to the nearest dollar).arrow_forwardAn engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 4.34.3 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 280280 engines and the mean pressure was 4.44.4 pounds/square inch. Assume the variance is known to be 0.640.64. A level of significance of 0.050.05 will be used. Make a decision to reject or fail to reject the null hypothesis. Make a decision.arrow_forwardPlease answer correctlyarrow_forward
- Consider the following data: −11,−5,−5,−11,13,−11,−5−11,−5,−5,−11,13,−11,−5 Copy Data Step 2 of 3: Calculate the value of the sample standard deviation. Round your answer to one decimal place.arrow_forwardHigh-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers have calculated the maximum horsepower for the engine to be 810HP . Sixteen engines are randomly selected for horsepower testing. The sample has an average maximum HP of 890 with a standard deviation of 85HP . Assume the population is normally distributed. Step 1 of 2 : Calculate a confidence interval for the average maximum HP for the experimental engine. Use a significance level of α=0.01 . Round your answers to two decimal places.arrow_forward11:20 Section Two In a hospital the average time that a patient will wait to enter a clinic is normally distributed with a mean of 20 minutes. A random sample of 10 patients revealed the following waiting time: 21 19 18 18 20 22 23 25 17 20 Given the sample standard deviation S = 2.5 Assume that the researcher wants to test whether the mean time that a patient will wait is more than 20 minutes using a level of significance of 0.01. The value of t-critical is: * 4 points a. 2.330 O b. 2.764 c. 2.821 O d. 3.250arrow_forward
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