I need help with b,c, and d. Thank you!c) What is the P- value and Z score?d) Does it Reject/ Accept the null hypothesis H_0?e) There is/ is not evidence to conclude that the mean score in 2019 is greater than the mean score in 2018. SAT scores: The College Board reports that in 2018, the mean score on the math SAT was 579 and the population standard deviation was o=118. A randomsample of 18 students who took the test in 2019 had a mean score of 551. Following is a dotplot of the 18 scores.350400450500….....550600650700 (b) Perform a hypothesis test to investigate whether the mean score in 2019 is less than the mean score in 2018. Assume the population standard deviationis o=118. What can you conclude? Use the α=0.05 level of significance and the P-value method.State the null and alternate hypotheses.Ho:H₁:right-tailedleft-tailedtwo-tailedThis hypothesis test is a (Choose one) test.O

sample mean = 551 sample size = 18 population standard deviation = 118 claim : SAT score in 2019 is…

Answered: ) What is the P- value and Z score? d)…

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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I need help with b,c, and d. Thank you!

c) What is the P- value and Z score?

d) Does it Reject/ Accept the null hypothesis H_0?

e) There is/ is not evidence to conclude that the mean score in 2019 is greater than the mean score in 2018.

SAT scores: The College Board reports that in 2018, the mean score on the math SAT was 579 and the population standard deviation was o=118. A random
sample of 18 students who took the test in 2019 had a mean score of 551. Following is a dotplot of the 18 scores.
350
400
450
500
….....
550
600
650
700

(b) Perform a hypothesis test to investigate whether the mean score in 2019 is less than the mean score in 2018. Assume the population standard deviation
is o=118. What can you conclude? Use the α=0.05 level of significance and the P-value method.
State the null and alternate hypotheses.
Ho:
H₁:
right-tailed
left-tailed
two-tailed
This hypothesis test is a (Choose one) test.
O<O
□<口
☐#0 μ
X
1=0

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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