Is the difference between the mean annual salaries of entry level architects in Denver, Colorado, and Lincoln, Nebraska, equal to $10 comma 50010,500? To decide, you select a random sample of entry level architects from each city. The results of each survey are shown. Assume the population standard deviations are sigma 1σ1equals=$65716571 and sigma 2σ2equals=$62986298. At alphaαequals=0.010.01, what should you conclude? Entry level architects in Denver, CO Entry level architects in Lincoln, NE x overbar 1x1 = 58, 300 x overbar 2x2 = 54,240 n 1n1 = 33 n 2n2 = 34 Calculate the standardized test statistic. Determine the P-value What can you conclude about the data? A. RejectReject Upper H 0H0. At the 1% level of significance, there is insufficientinsufficient evidence to reject the claim that the difference in mean annual salaries is $10 comma 50010,500. B. RejectReject Upper H 0H0. At the 1% level of significance, there is sufficientsufficient evidence to reject the claim that the difference in mean annual salaries is $10 comma 50010,500. C. Fail to rejectFail to reject Upper H 0H0. At the 1% level of significance, there is sufficientsufficient evidence to reject the claim that the difference in mean annual salaries is $10 comma 50010,500. D. Fail to rejectFail to reject Upper H 0H0. At the 1% level of significance, there is insufficient or sufficient evidence to reject the claim that the difference in mean annual salaries is $10 comma 50010,500.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Related questions

Question

100%

Is the difference between the mean annual salaries of entry level architects in Denver, Colorado, and Lincoln, Nebraska, equal to

$10 comma 50010,500?

To decide, you select a random sample of entry level architects from each city. The results of each survey are shown. Assume the population standard deviations are

sigma 1σ1equals=$65716571

and

sigma 2σ2equals=$62986298.

alphaαequals=0.010.01,

what should you conclude?

Entry level architects in Denver, CO	Entry level architects in Lincoln, NE
x overbar 1x1	=	58, 300	x overbar 2x2	=	54,240
n 1n1	=	33	n 2n2	=	34

Calculate the standardized test statistic.

Determine the P-value

What can you conclude about the data?

RejectReject

Upper H 0H0.

At the 1% level of significance, there is

insufficientinsufficient

evidence to reject the claim that the difference in mean annual salaries is

$10 comma 50010,500.

RejectReject

Upper H 0H0.

At the 1% level of significance, there is

sufficientsufficient

evidence to reject the claim that the difference in mean annual salaries is

$10 comma 50010,500.

Fail to rejectFail to reject

Upper H 0H0.

At the 1% level of significance, there is

sufficientsufficient

evidence to reject the claim that the difference in mean annual salaries is

$10 comma 50010,500.

Fail to rejectFail to reject

Upper H 0H0.

At the 1% level of significance, there is

insufficient or sufficient

evidence to reject the claim that the difference in mean annual salaries is

$10 comma 50010,500.

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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