A statistics instructor claims that the mean score for all students on the first statistics exam isabove 75. To test this claim, 20 students are selected at random. Their scores from the firstexam had a mean of 78.2 with a standard deviation of 14.25. Test the claim that the meanscore for all students on the first statistics exam is above 75. Use a = 0.01. Answer thefollowing questions.a. Identify the claim and state the Ho and H1.b. Find the critical value.c. Calculate the test statistic.d. Make a decision to reject or fail to reject the Ho.e. Interpret the decision.

Answered: Image /qna-images/answer/e113f8f8-e3ca-4be1-be97-878c70e6b3d6.jpg

Answered: A statistics instructor claims 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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In this exercise, you will compare Chebyshev’s rule and the empirical rule. a. Compare the estimates given by the two rules for the percentage of observations that lie within two standard deviations to either side of the mean. Comment on the differences.b. Compare the estimates given by the two rules for the percentage of observations that lie within three standard deviations to either side of the mean. Comment on the differences.
Which of the following would be the most reasonable estimate for the weight of house cats? (The population would be all house cats in the U.S., and the variable would be each cat's weight.) A. Mean = 10 pounds, standard deviation = 0 pounds. B. Mean = 10 pounds, standard deviation = 2 pounds. C. Mean = 10 pounds, standard deviation = 10 pounds. D. Mean = 2 pounds, standard deviation = 10 pounds.
Mr. Stant collected information on how much customers spend at Walmart and Target. He created the following histograms. Which of the statements must be true about the two data sets displayed? a The standard deviation of amounts spent at Walmart is less than the standard deviation of the amounts spent at Target. b The median amount spent at Walmart is equal to the median amount spent at Target. c The standard deviation of amounts spent at Walmart is more than the standard deviation of the amounts spent at Target. d The range of amounts spent at Walmart is equal to the range of amounts spent at Target. e The mean amount spent at Walmart is equal to the mean amount spent at Target.
A student scores 74 on a geography test and 264 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 5. The mathematics test has a mean of 300 and a standard deviation of 24. If the data for both tests are normally distributed, on which test did the student score better relative to the other students in each class? OA. The student scored better on the mathematics test. OB. The student scored better on the geography test. OC. The student scored the same on both tests.
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?
Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a standard deviation of 100. What percent of students who took the test have a mathematics score between 560 and 650? Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. O ..... % of students who took the test have a mathematics score between 560 and 650. (Round to two decimal places as needed.) Clear all Check answer Get more help- Lof
Beth scored 88 on a nutrition test. The class mean was 81 and the standard deviation was 3.2. What is Beth's T-score? Group of answer choices 47.8 71.9 22.4 Beth's T-score cannot be calculated. Not enough information is provided.
This looks like another problem. Read carefully. Sergio is doing a long hike and is carefully calculating his pack weight. An energy bar has mean weight 1.71 ounces and standard deviation 0.037. The weights of the bars are independent. A juice box has mean weight 7.1 ounces and standard deviation 0.25. The weights of the juice boxes are independent. If he takes 3 energy bars and 5 juice boxes, what will be the MEAN of the total weight in pounds from these items? Hint: If W is the weight in ounces, then W/16 is the weight in pounds.
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?
It is known that 41% of the population in the United States have brown eyes. Find the mean and standard deviation for the number of brown eyed people in a random group of 25 people in the United States. I cannot for the life of me figure this problem out.
A data set lists weights (Ib) of plastic discarded by households. The highest weight is 5.72 Ib, the mean of all of the weights is x= 2.345 lb, and the standard deviation of the weights is s =2.123 lb. a. What is the difference between the weight of 5.72 lb and the mean of the weights? b. How many standard deviations is that (the difference found in part (a))? c. Convert the weight of 5.72 Ib to a z score d. If we consider weights that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the weight of 5.72 Ib significant? a. The difference is lb. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z= (Round to two decimal places as needed.) d. The highest weight is
The mean for a data set is 61. The standard deviation is 4, and the z-score is -0.34. Find the raw score. What is the raw score? (Type an integer or a decimal.)

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