5. Past experience indicates that the time required for high school seniors to complete a standardizedtest is a normal random variable with a standard deviation of 6 minutes. Test the hypothesis that o = 6against the alternative that o<6 if a random sample of the test times of 20 high school seniors has astandard deviation s = 4.51. Use a 0.05 level of significance.

Answered: Image /qna-images/answer/89f7407b-0450-4ed6-b3d3-9131a11815cf.jpg

Answered: 5. Past experience indicates that the…

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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The mean body mass index (BMI) for males in the US (2015) is 28.8 with a standard deviation of 3.8. Suppose we select a SRS of 100 males from the US. a. What is the probability that the mean BMI of the sample is more than 29.5? b. What is the probability that the mean BMI of the sample is between 27 and 29.5?
The time necessary to complete the technical interview for the Google intership is normally distributed with a mean of sixty-three minutes, and a standard deviation of twelve minutes. Let the random variable X represent the number of minutes a randomly chosen student takes to complete the assessment. If a sample of three dozen students is taken, what is the standard deviation of the sample mean σX¯ and what is the probability that the sample mean would be 59 minutes or fewer?
What is the probability that 46 cars chosen at random will have a mean load weight x of less than 85.5 tons of coal if the mean is 86 and standard deviation 1.4
SAT math scores are normally distributed with mean (524) and a standard deviation (95). If 1800 SAT math scores are randomly selected, about how many would be expected to be greater than 545?
According to the American Academy of Sleep Medicine, a healthy adult should obtain at least 7 hours of sleep per night. But is this happening in New York City- aka "the city that never sleeps" ? A study of 28 NYC adults chosen at random found that the sample mean was 6.73 hours and the sample standard deviation was 0.79 hours. Is there statistically significant evidence that NYC adults, on average, sleep less than 7 hours per night? Is the result "practically significant"?
Suppose the population has a normal distribution with a true mean of 100 and a standard deviationof 50. You are taking repeated samples of size 25. What is the expected mean of the samplingdistribution (? bar)?
The mean ACT composite score in a recent year is 20.8 with a standard deviation of 5.6. A random sample of 36 ACT composite scores are selected. What is the probability that the mean score for the sample is c) between 20.5 and 21.5
A sample of 36 students is found to have a mean score on GMAT Math test was (A + 500). The standard deviation is A scores. The same supervisor in the last example like to see if a student 5. scored significantly below the population mean score on the GMAT Math test 515. Is there sufficient evidence to support the claim at 10% level of significance? Note that: A is first two-digit number (before English alphabet letter) from your college ID. B is last four-digit number (after English alphabet letter) from your college ID. For example, if your MEC ID is 16F23451, then A = 16 and B = 3451
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.068.06 and a standard deviation of 1.521.52. Using the empirical rule, what percentage of American women have shoe sizes that are at least 9.589.58?
Suppose a researcher pbserves a population of 12 people and computes SS=204. What is the variance? What is the standard deviation?
A professional racing team is holding tryouts at its test track. The team requires its drivers to have an average lap time of at most 133 seconds at its test track. The team will use a one sample z-test of significance to determine if they should hire a new driver. An amateur driver completes 8 timed laps of the test track with an average lap time of 136 seconds. If the standard deviation of all lap times at this track is 4.1 seconds, what is the value of the test statistic? Round your answer to two decimal places.
Assume scores on a recent national statistics exam were normally distributed with a mean of 74 and a standard deviation of 6. Find the probability that a randomly selected student score more than 80 points? If the top 2.5% of test scores recurveerit awards, what is the lowest eligible for an award?

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