a) what is the null hypothesisb) what is the alternative hypothesisc) sample meand) test statistic -A Department of Mathematics at a University claims in an advertisement that the mean math SATscores of its majors is at least 600. Admissions at the University wants to make sure that thestatement of the Department of Mathematics is a reasonable one and decides to test the claimusing a significance level of 0.10 with a random sample of 16 math majors. The results are below.SAT scores are normally distributed with a population standard deviation of 15.600 600 580 570 610 620650 610 570 610 550 560 580560 630620

Solution: Given information: n=16 Sample size μ=600 Population mean σ= 15 Population standard…

A Department of Mathematics at a University claims in an advertisement that the mean math SAT cores of its majors is at least 600. Admissions at the University wants to make sure that the tatement of the Department of Mathematics is a reasonable one and decides to test the claim using a significance level of 0.10 with a random sample of 16 math majors. The results are below SAT scores are normally distributed with a population standard deviation of 15. 600 600 580 570 610 620 650 610 570 610 550 560 560 580 630 620

A Department of Mathematics at a University claims in an advertisement that the mean math SAT cores of its majors is at least 600. Admissions at the University wants to make sure that the tatement of the Department of Mathematics is a reasonable one and decides to test the claim using a significance level of 0.10 with a random sample of 16 math majors. The results are below SAT scores are normally distributed with a population standard deviation of 15. 600 600 580 570 610 620 650 610 570 610 550 560 560 580 630 620

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

a) what is the null hypothesis

b) what is the alternative hypothesis

c) sample mean

d) test statistic

-A Department of Mathematics at a University claims in an advertisement that the mean math SAT
scores of its majors is at least 600. Admissions at the University wants to make sure that the
statement of the Department of Mathematics is a reasonable one and decides to test the claim
using a significance level of 0.10 with a random sample of 16 math majors. The results are below.
SAT scores are normally distributed with a population standard deviation of 15.
600 600 580 570 610 620
650 610 570 610 550 560 580
560 630
620

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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