To be eligible for further consideration, applicants for certain civil service positions must first pass a written qualifying examination on which a score of 85 or more must be obtained. In a recent examination, it was found that the scores were normally distributed with amean of 75 points and a standard deviation of 10 points. Determine the percentage of applicants who passed the written qualifying examination. (Round your answer to two decimal places.)

Answered: To be eligible for further…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The Acme Company manufactures widgets. The distribution of widget weights is bell shaped. The widget have a mean of 40 ounces and a standard deviation of 10 ounces. What percentage of the widget weights lie between 20 and 70 ounces?
A community college Math instructor feels that the average age of community college students decreased since they started teaching 25 years ago. Looking up data from the year the instructor started teaching, the mean age of community college students was 24.3 years old, with a population standard deviation of 2.2 years. The Math instructor took a sample of 40 of their current community college students and found that the sample had a mean age of 23.7 years old. Assume the population of ages of community college students is normally distributed and that the population standard deviation has remained the same. Test at the 5% significance level if the mean age of community college students is now less than 24.3 years old. Choose the correct answer from the parenthesis. (i) Hypotheses ?0: ? = ( 0, 2.2, 22.7, 24.3, 25, 40) ______________ . ?1: ? = ( < , > ) ______________ ( 0, 2.2, 22.7, 24.3, 25, 40) ________________ . (ii) Test Statistic ( z/ t )…
According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches. If Zsike is 67 inches tall, what is her z-score?
According to a health foundation survey from 2018 and 2016, the average annual premiums for employer-sponsored health insurance for family coverage was $16,834 in 2018 and $15,745 in 2016. Suppose the survey for 2018, was based on 250 employees who had employer-sponsored health insurance and the survey for 2016 was based on 200 employees who had employer-sponsored health insurance. Assume the population standard deviation for 2018 and 2016 were $2160 and $1990; respectively. Find a 97% confidence interval for the mean difference. (Round your answer to 1 decimal place.)Lower limit = Upper limit =
Based on data from the 2000 Census the average age of a Baldwin County, Alabama resident is 39 years with a standard deviation of 22. 6 . The data is normally distributed. The median age, in years, is: Group of answer choices 23 29 39 20
The distribution of heights of adult American men is approximately normal with a mean of 69 inches and a standard deviation of 2.5 inches. a. What percent of these men are at least 71.5 inches tall? b. What percent of these men are between 64 and 74 inches tall?
In 1974, the mean height of a woman in the United States was 63.7 inches, with a standard deviation of 2.5 inches. What is the height of a woman who is taller than 88% of the rest of the sample? Enter your answer in inches rounded to one decimal place, e.g. 60.4.
The average McDonald's restaurant generates $3.3 million in sales each year with a standard deviation of 0.8. Skyler wants to know if the average sales generated by McDonald's restaurants in North Carolina is different than the worldwide average. He surveys 25 restaurants in North Carolina and finds the following data (in millions of dollars): 2.3, 0.9, 2.2, 2.8, 3.1, 3.1, 2.3, 2.6, 2.7, 2.7, 3.1, 3.9, 4.1, 4, 4.5, 1.8, 4.3, 2.7, 3.9, 3.5, 3.2, 1.7, 3.5, 2.9, 2.1 Perform a hypothesis test using a 4% level of significance. Step 1: State the null and alternative hypotheses. Но: ? ? v Ha: ? v (So we will be performing a Select an answer v test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( ? v ? v P(? v…
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
The board of examiners that administers the real estate broker’s examination in a certain state found that the mean score on the test was 450 and the standard deviation was 50. If the board wants to set the passing scores so that only the top 5% of all applicants pass, what should the passing score be? Assume that the scores are normally distributed.
The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round to the nearest whole number.
The average McDonald's restaurant generates $2.6 million in sales each year with a standard deviation of 1. Tatiana wants to know if the average sales generated by McDonald's restaurants in Alaska is different than the worldwide average. She surveys 25 restaurants in Alaska and finds the following data (in millions of dollars):3.2, 1.8, 0.9, 3.2, 3.6, 1.7, 4.2, 2, 3.1, 3.9, 3, 2.9, 2.5, 3.5, 3, 3, 2.4, 5, 3.8, 0.9, 2.2, 2.4, 2.6, 2.8, 3.3Perform a hypothesis test using a 10% level of significance. Find the pp-value of the point estimate. P(p( <or > )= P(z<)=P( ? )=)=? p value =?pp-value==

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