Exercise 06.41 (Normal Probability Distribution) Hint(s) Question 15 of 16 ► Check My Work According to the National Association of Colleges and Employers, the 2015 average starting salary for new college graduates in health sciences was $51,541. The average starting salary for new college graduates in business was $53,901 (National Association of Colleges and Employers website). Assume that starting salaries are normally distributed and that the standard deviation for starting salaries for new college graduates in health sciences is $11,000. Assume that the standard deviation for starting salaries for new college graduates in business is $15,000. a. What is the probability that a new college graduate in business will earn a starting salary of at least $65,000 (to 4 decimals)? b. What is the probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 (to 4 decimals)? c. What is the probability that a new college graduate in health sciences will earn a starting salary less than $40,000 (to 4 decimals)? d. How much would a new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences (to the nearest whole number)? $

The mean salary offered to students who are graduating from Coastal State University this year is $24,230, with a standard deviation of $3643. A random sample of 75 Coastal State students graduating this year has been selected. What is the probability that the mean salary offer for these 75 students is $24,750 or more? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places, 00 Submit Assignment Continue 2021 McGraw-Hi Education. All Rights Reserved. Terms of Use Pnvacy

High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 13 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized? (Round your answer to 2 decimal places.)

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number of picks in a one-pound bag. (c) Find the mean, the standard deviation, and the company's current advertisement specifies between 900 number of picks it packages for sale to customers. The supply company must maintain strict oversight on the 7.26 Counts of picks in a one-pound bag. A guitar and 1000 picks in every bag. An SRS of 36 one-pound bags Co1000 picks in every bag. An SRS of 36 one-pound bags Enicks was collected as part of a quality improvement effort within the company. The number of picks in each bag is shown in the following table. Lil PICKS tation 924 925 967 909 959 937 970 936 952 919 965 921 913 886 956 962o 916 945 957 912 961 950 923 935 969 916 952 917 977 940 924 957 920 986 895 923 (a) Create (i) a histogram or stemplot, (ii) a boxplot, and (iii) a Normal quantile plot of these counts. Write a careful description of the distribution. Make sure to note any outliers and comment on the skewness and Normality of the data. (6) Based on your observations in part…

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $173,000. Assume the standard deviation is $32,000. Suppose you take a simple random sample of 15 graduates. Round all answers to four decimal places if necessary. What is the distribution of XX? XX ~ N(_____,______) What is the distribution of ¯xx¯? ¯xx¯ ~ N(____,_____) For a single randomly selected graduate, find the probability that her salary is between $176,006 and $185,837. ________ For a simple random sample of 15 graduates, find the probability that the average salary is between $176,006 and $185,837. ___________

Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 42, with a standard deviation of 24. A pollster draws a sample of 90 people to interview. Part 1 of 5 (a) What is the probability that the sample mean income is less than 39? Round the answer to at least four decimal places. The probability that the sample mean income is less than 39 is? Part 2 of 5 (b) What is the probability that the sample mean income is between 40 and 43 ? Round the answer to at least four decimal places. The probability that the sample mean income is between 40 and 43 is?    Part 3 of 5 (c) Find the 60th percentile of the sample mean. Round the answer to at least one decimal place. The 60th percentile of the sample mean is?    .       Part 4 of 5 (d) Would it be unusual for the sample mean to be less than 35? Round the answer to at least four decimal places. It ________ unusual because the probability of the sample mean…

Full-time college students report spending a mean of 23 hours per week on academic​ activities, both inside and outside the classroom. Assume the standard deviation of time spent on academic activities is 3 hours. Complete parts​ (a) through​ (d) below.       a. If you select a random sample of 16 ​full-time college​ students, what is the probability that the mean time spent on academic activities is at least 22 hours per​ week? ​(Round to four decimal places as​ needed.)     b. If you select a random sample of 16 ​full-time college​ students, there is an 89​% chance that the sample mean is less than how many hours per​ week?  ​(Round to two decimal places as​ needed.)   c. What assumption must you make in order to solve​ (a) and​ (b)?   A. The population is uniformly distributed.   B. The sample is symmetrically​ distributed, such that the Central Limit Theorem will likely hold.   C. The population is symmetrically​ distributed, such that the Central Limit Theorem will…

Can someone check my answers please? Thank you!

The amounts of time per workout an athlete uses a stairclimber are normally​ distributed, with a mean of 20 minutes and a standard deviation of 7 minutes. Find the probability that a randomly selected athlete uses a stairclimber for​ (a) less than 17 ​minutes, (b) between 20 and 29 ​minutes, and​ (c) more than 30 minutes.       Question content area bottom Part 1 ​(a) The probability that a randomly selected athlete uses a stairclimber for less than 17 minutes is enter your response here. ​(Round to four decimal places as​ needed.) Part 2 ​(b) The probability that a randomly selected athlete uses a stairclimber between 20 and 29 minutes is enter your response here. ​(Round to four decimal places as​ needed.) Part 3 ​(c) The probability that a randomly selected athlete uses a stairclimber for more than 30 minutes is enter your response here. ​(Round to four decimal places as​ needed.)