Show Consider the following hypothetical situation. Grade data indicat4es that on the average 27% of the students in senior engineering classes have received A grades. From past data we have
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Show Consider the following hypothetical situation. Grade data indicat4es that on the
average 27% of the students in senior engineering classes have received A grades. From
past data we have measured a standard deviation of 15%. We would like to model the
proportion X of A grades with a beta distribution.
a. Please also provide the values of theparameters.
b. Use the distribution in (a) to find the probability that more than 32% of the
students had an A.
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- mem 3. A machine fills 100-pound bags with white sand. The actual weight of the sand when the machine operates at tis standard speed of 100 bags per hour follows a normal distribution with a standard deviation of 1.5 pounds. The mean of the distribution depends on the setting of the machine. At what weight should the machine be set so that only 5% of the bags are underweight?Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.7 parts/million (ppm). A researcher believes that the current ozone level is not at the normal level. The mean of 13 samples is 4.9 ppm with a standard deviation of 1.0. Does the data support the claim at the 0.1 level? Assume the population distribution is approximately normal. Step 3 of 3: Make the decision to reject or fail to reject the null hypothesis.The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 118 and standard deviation of 24 .Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places. ________%b. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the nearest person.________ peoplec. Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1?________ %d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places._______ lbs
- Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 545 and a standard deviation of 112 . If 16 men are randomly selected, find the probability that their mean score is at least 590. a. Define the parameter A. x overbar equals The mean score of 16 randomly selected men B. x overbar equals The score of a randomly selected man b. State the mean of x overbar : nothing c. State the standard deviation of x overbar : nothing (use 2 decimal places) d. Find the z-score: nothing (use 2 decimal places) e. Find the probability: nothing (use 4 decimal places)The accounting department at Weston Materials Incorporated, a national manufacturer of unattached garages, reports that it takes two construction workers a mean of 32 hours and a standard deviation of 2 hours to erect the Red Barn model. Assume the assembly times follow the normal distribution .a-1. Determine the z-values for 29 and 34 hours. (A negative amount should be indicated by a minus sign. Round z-value to 2 decimal places and your final answer to 2 decimal places.) a-2. What percent of the garages take between 32 hours and 34 hours to erect? (Round z-value to 2 decimal places and your final answer to 2 decimal places.) b. What percent of the garages take between 29 hours and 34 hours to erect? (Round z-value to 2 decimal places and your final answer to 2 decimal places.) c. What percent of the garages take 28.7 hours or less to erect? (Round z-value to 2 decimal places and your final answer to 2 decimal places.) d. Of the garages, 5% take how many hours or more to erect?…Use z scores to compare the given values. The tallest living man at one time had a height of 225 cm. The shortest living man at that time had a height of 104.3 cm. Heights of men at that time had a mean of 173.55 cm and a standard deviation of 5.15 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z= and the z score for the shortest man is z= the V man had the height that was more extreme. (Round to two decimal places.)
- Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... x 0.9 A graph with a bell-shaped curve, divided into 2 regions by a line from top to bottom, on the left side. The region right of the line is shaded and labeled 0.9. The x-axis below the line is labeled "x". Question content area bottom Part 1 The indicated IQ score, x, is enter your response here. (Round to one decimal place as needed.)Look at this histogram of heights from the GSS, which happens to be a case where a variable is relatively close to Normally-distributed (Normal curve laid atop for reference). Although it is tough to “eyeball” standard deviations, I am going to give you a list of values that could possibly describe one standard deviation of this distribution. Only one is even in the “ballpark”. Please select it based on your knowledge of Normal distributions. a. One inch b. Four inches c. 20 inches d. 50 inchesThe WAIS is an IQ test. Scores on the WAIS for the 20-34 age group are normally distributed with a mean 110 and a standard deviation of 25. Scores for the 60-64 age group are normally distributed with a mean of 90 and a standard deviation of 25. Find the percent of 20-34-year-olds that have an IQ greater than 120. a. 16% b. z= 0.4 or 40% c. 0.6554 or 65.54% d. 0.3446 or 34.46%
- Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P15, the 15th percentile. This is the bone density score separating the bottom 15% from the top 85%. How to get and what is the bone density score corresponding to P15 is ?Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P9, the 9th percentile. This is the bone density score separating the bottom 9% from the top 91%. Which graph represents P9? Choose the correct graph below.Use the following information for the question. The average travel time to work for a person living and working in Kokomo, Indiana is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time is approximately normally distributed.Which of these statements is asking for a measurement (i. e. is an inverse normal question)? A.What percentage of people living and working in Kokomo have a travel time to work that is between thirteen and fifteen minutes? B.If 15% of people living and working in Kokomo have travel time to work that is below a certain number of minutes, how many minutes would that be?