3.16 SAT scores: SAT scores (out of 2400) are distributed normally with a mean of 1520 and a standarddeviation of 315. Suppose a school council awards a certificate of excellence to all students who score at least1900 on the SAT, and suppose we pick one of the recognized students at random. What is the probability thisstudent's score will be at least 2100? Round your answer to 3 decimal places. (The material covered in Section3.2 will be useful for this question.)

Let X be the random variable from normal distribution with mean (μ) = 1529 and standard deviation…

Answered: 3.16 SAT scores: SAT scores (out of…

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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Part 1 of 4 Victoria, an accomplished marathon runner, claims that the standard deviation for her time to run a 26.2 mile marathon is less than 17.5 minutes. To test her claim, Victoria looks up 11 of her race times (in minutes): 227.2, 233.3, 259.7, 265.8, 252.1, 228.8, 222.6, 202.9, 214.5, 237.2, 267.7 Perform a hypothesis test using a 9% level of significance to test Victoria's claim. Step 1: State the null and alternative hypotheses. 17.5 Ha:0
PLS. Solve Quickly Applications Problems According to a Sallie Mae survey and credit bureau data, in 2008, college students carried an average of $3173 debt on their credit cards (USA TODAY, April 13, 2009). Suppose that cur- rent credit card debts for all college students have a normal distribution with a mean of $3173 and a standard deviation of $800. Find the probability that credit card debt for a randomly se- lected college student is between $2109 and $3605.
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 Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables d. Less than 55 poundse. Less than 49 pounds
Suppose Michigan is favored by 17.5 points over Indiana. If you bet a “unit” on Indiana and Indiana loses by 17 or less, you win $10. If Indiana loses by 18 or more points, you lose $11. Note: Both Michigan and Indiana are NCAA Basketball teams. 1)Find the mean and standard deviation of your winnings on a single bet. Assume that there is a 0.5 probability that you will win your bet and a 0.5 probability that you will lose your bet.
A random variable X forms a normally distributed data set with mean 94.2 and standard deviation 2.41 . Determine the probability that X is at most 94.2. (Express your final answer in 4 decimal places)
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?
Chapter 7: 6. The mean room and board expense per year at a four-year college is $9200. Assume the room and board expenses are normally distributed with a standard deviation of $1200. (6 points each) You randomly select one four-year college. What is the probability that their average room and board is less than $8950? b. You randomly select 50 four-year colleges. What is the probability that the mean average room and board is less than $8950?
Assume that adults have IQ scores that are normally distributed with a mean of 99.5 and a standard deviation of 19. Find the probability that a randomly selected adult has an IQ greater than 135.9.(Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 135.9 is ____
Example 24 : In eight throws of a die 5 or 6 is considered a success. Find the mean number of success and the standard deviation.
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 60 poundsb. More than 56 poundsc. Between 55 and 57 pounds

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