Solve the problem.A final exam in Math 160 has a mean of 83 with standard deviation 8.4. Suppose 24 studentsare randomly selected.a) Provide the parameters for the distribution of the Sum: The mean is1992and standard deviation is 41.15b) If 24 students are randomly selected, find the probability that the sum of their test scores isless than 1970. [Select]c) Find the 60th percentile for the sum of the 24 students' test scores.[Select]

The mean is 83 and the standard deviation is 8.4.The sample size n is 24.

Answered: A final exam in Math 160 has a mean 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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The mean weight of all Goliath grouper caught on the Treasure coast is 377 pounds, with a standard deviation of 72 pounds. Suppose a random sample of 37 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 37 Goliath Grouper is within 31 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution four decimal places, if necessary.
Calculate the mean if -2 standard deviation = 70 and +2 standard deviation = 100. The mean of the data set is
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= 19 inches. Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is u However, a survey reported that of a random sample of 51 fish caught, the mean length was x 18.6 inches, with estimated standard deviation s = 3.3 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use a = 0.05. = (a) What is the level of significance? State the null and alternate hypotheses. O Ho: μ = 19 in; H₁: μ ‡ 19 in Ho: μ> 19 in; H₁: μ = 19 in O Ho: μ 19 in O Ho: μ = 19 in; H₁: μ 0.010 O 0.0010 < P-value < 0.010 O 0.250 < P-value < 0.0010 0.125 < P-value < 0.250 O P-value < 0.125 Sketch the sampling distribution and show the area corresponding to the P-value.
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A pupil in grade 2 jumped 3.2 m for the long jump. The class mean is 2.5 m with a standard deviation of 0.4 m. A pupil in grade 8 at the same school jumped 4.3 m in a class with a mean of 3.4 m and a standard deviation of 0.5 m. Which student should receive the long jump medal for the school track meet?

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