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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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?
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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
Jasmine, Jamal, and Jessa all got the same mean grade (2.7) on their quizzes last semester. The standard deviations were 0.5 for Jamal, 1.1 for Jessa, and 0.2 for Estrella. Which student received the highest grades from the quizzes?
A student scored 66 on a general science test where the class mean and standard deviation were 82 and 8, respectively; he also scored 53 on a psychology test where the class mean and standard deviation were 58 and 3, respectively. In which class was his relative position higher?
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 71.9 Mbps. The complete list of 50 data speeds has a mean of x 17.38 Mbps and a standard deviation of s = 19.81 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a))? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
A person in the U.S. eats about 25 pounds of M&M's per year with a standard deviation of 3 pounds. How many M&M's would I have to eat to be in the top 20%?
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 72.5 Mbps. The complete list of 50 data speeds has a mean of x=18.25 Mbps and a standard deviation of s=17.86 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
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…
The average on the Math section of the SAT was 500 with a standard deviation of 100. What score must you earn to be in the top 10% of test-takers?
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