Can you apply the idea of p-value to the same problem and explain which probabilityvalue can be used as a p-value? Why?Suppose that exam grades are approximately normally distributed with a mean of 68and a standard deviation of 9 points. If a student requires at least 90 to secure an A,what is the chance of getting an A in this exam?

It is given for the distribution of exam grades (which is normally distributed), it is interpreted…

Answered: Can you apply the idea of p-value to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that the average number of hurricanes is 32 per year with a standard deviation of 2.8 and follow a normal distribution. What is the probability that we will have more than 31 hurricanes this year in a decimal form?
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
The result of a nationwide aptitude test in mathematics are normally distributed sith mean=63 and standard deviation =5 a. What is the probability of scores greater than 65? b. What is the probability of scores less than 65?
The mean annual salary for nurses is $65,000 with a standard deviation of $7,000. What is he probability that a randomly selected nurse has a salary less than $60,000? A random sample of 50 nurses is selected. What is the probability that the sample mean annual salary is less than $60,000?
At night, John works occasionally as a waiter for his family's restaurant for which his monthly income is normally distributed with a mean of $1,579 and a standard deviation of $103. What is the probability that John will earn between $1,322 and $1,764 this month? (Keep 4 decimal places).
Shaver Manufacturing Inc. offers dental insurance to its employees. A recent study by the human resource director shows the annual cost per employee per year followed the normal probability distribution, with a mean of $1,280 and a standard deviation of $420 per year. Use Appendix B.3. What probability of the employees costs between $1,500 and $2,000 per year? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
* Your answer is incorrect. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutes and standard deviation of 3.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.1 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i 98.80
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