An employment information service claims the mean annual salary for senior level product engineers is $95,000. The annual (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a 0.01, test the hat the mean salary is $95,000. Complete parts (a) through (e) below Assume the population is normally distributed.(a) Identify the claim and state Ho and Ha-Ho:На:(Type integers or decimals. Do not round.)The claim is the___ (alternative,null)hypothesis.(b) Use technology to find the critical values) and identify the rejection region(s).The critical values) is/are to=__(Use a comma to separate answers as needed. Round to two decimal places as needed.)Choose the graph which shows the rejection region.A, B,C,D see the picture (c) Find the standardized test statistic, t.The standardized test statistic is t=.__(Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.____(reject,Fail to reject)Ho because the standardized test statistic___(is not, is) in the rejection region.(e) Interpret the decision in the context of the priginal claimThere___(is not, is) enough evidence at the __% level of significance___(reject, support) the claim that the mean adhual salary for senior level product engineers is ___(equal to , less than, less than or equal to, not equal to, greater than, greater than or equal to) $__. ( type integers or decimal. Do not round.) An employment information service claims the mean annual salary for senior level product engineers is $95,000. The annualsalaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a= 0.01, test theclaim that the mean salary is $95,000. Complete parts (a) through (e) below. Assume the population is normally distributed.(a) Identify the claim and state Ho and Ha-Ho:Ha:(Type integers or decimals. Do not round.)The claim is thehypothesis.(b) Use technology to find the critical value(s) and identify the rejection region(s).■(Use a comma to separate answers as needed. Round to two decimal places as needed.)The critical value(s) is/are to =wwwMAnnual Salaries100,67996,369 93,605 112,75274,164 76,94880,92282,514102,39076,129 104,01991,156 82,145 85,031May 8103,913110,256Next2:34 0 i An employment information service claims the mean annual salary for senior level product engineers is $95,000. The annualsalaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a= 0.01, test theclaim that the mean salary is $95,000. Complete parts (a) through (e) below. Assume the population is normally distributed.(a) Identify the claim and state Ho and Ha-Ho:Ha:(Type integers or decimals. Do not round.)The claim is thehypothesis.(b) Use technology to find the critical value(s) and identify the rejection region(s).■(Use a comma to separate answers as needed. Round to two decimal places as needed.)The critical value(s) is/are to =wwwMAnnual Salaries100,67996,369 93,605 112,75274,164 76,94880,92282,514102,39076,129 104,01991,156 82,145 85,031May 8103,913110,256Next2:34 0 i

Let us consider a sample taken from the population. Let the mean significance between the sample…

An employment information service claims the mean annual salary for senior level product engineers is $95,000. The annual (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a 0.01, test the hat the mean salary is $95,000. Complete parts (a) through (e) below Assume the population is normally distributed. (a) Identify the claim and state Ho and Ha- Ho: На: (Type integers or decimals. Do not round.) The claim is the_ (alternative,null)hypothesis. (b) Use technology to find the critical values) and identify the rejection region(s). The critical values) is/are to= (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the graph which shows the rejection region. A, B,C,D see the picture (c) Find the standardized test statistic, t. The standardized test statistic is t=. (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. (reject,Fail to reject)Ho because the standardized test statistic_(is not, is) in the rejection region. (e) Interpret the decision in the context of the priginal claim There_(is not, is) enough evidence at the % level of significance_(reject, support) the claim that the mean adhual salary for senior level product engineers is _(equal to , less than, less than or equal to, not equal to, greater than, greater than or equal to) $__. ( type integers or decimal. Do not round.)

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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An employment information service claims the mean annual salary for senior level product engineers is $95,000. The annual (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a 0.01, test the hat the mean salary is $95,000. Complete parts (a) through (e) below Assume the population is normally distributed.

(a) Identify the claim and state Ho and Ha-

Ho:

На:

(Type integers or decimals. Do not round.)

The claim is the___ (alternative,null)hypothesis.

(b) Use technology to find the critical values) and identify the rejection region(s).

The critical values) is/are to=__

(Use a comma to separate answers as needed. Round to two decimal places as needed.)

Choose the graph which shows the rejection region.
A, B,C,D see the picture

The standardized test statistic is t=.__

(Round to two decimal places as needed.)

(d) Decide whether to reject or fail to reject the null hypothesis.
____(reject,Fail to reject)Ho because the standardized test statistic___(is not, is) in the rejection region.

(e) Interpret the decision in the context of the priginal claim

There___(is not, is) enough evidence at the __% level of significance___(reject, support) the claim that the mean adhual salary for senior level product engineers is ___(equal to , less than, less than or equal to, not equal to, greater than, greater than or equal to) $__. ( type integers or decimal. Do not round.)

An employment information service claims the mean annual salary for senior level product engineers is $95,000. The annual
salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a= 0.01, test the
claim that the mean salary is $95,000. Complete parts (a) through (e) below. Assume the population is normally distributed.
(a) Identify the claim and state Ho and Ha-
Ho:
Ha:
(Type integers or decimals. Do not round.)
The claim is the
hypothesis.
(b) Use technology to find the critical value(s) and identify the rejection region(s).
■
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
The critical value(s) is/are to =
www
M
Annual Salaries
100,679
96,369 93,605 112,752
74,164 76,948
80,922
82,514
102,390
76,129 104,019
91,156 82,145 85,031
May 8
103,913
110,256
Next
2:34 0 i

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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