There (is/is not) enough evidence at the ___% level of significance to (support/ Reject) the claim that the mean annual salary for senior level product engineers is An employment information service claims the mean annual salary for senior level product engineers is $98,000. The annual salaries (in dollars) for a random sample of 16 senior level productengineers are shown in the table to the right. At a = 0.10, test the claim that the mean salary is $98,000. Complete parts (a) through (e) below. Assume the population is normally distributed.Annual Salaries100,72582,577102,53491,056112,738 O80,913103,953110,36296,338 93,50777,05874,22476,207 103,95682,047 85,148(a) Identify the claim and state Ho and Ha.Ho:98000Hạ:98000(Type integers or decimals. Do not round.)The claim is thenullhypothesis.(b) Use technology to find the critical value(s) and identify the rejection region(s).The critical value(s) is/are to- 1.75,1.75.(Use a comma to separate answers as needed. Round to two decimal places as needed.)Choose the graph which shows the rejection region. t< - to, t>tot< to- to to-40 to4-4to 0-4- to 0 to4-44(c) Find the standardized test statistic, t.less than or equal toThe standardized test statistic is t= - 1.87.equal to(Use a comma to separate answers as needed. Round to two decimal places as needed.)less than(d) Decide whether to reject or fail to reject the null hypothesis.greater than or equal toRejectHo because the standardized test statisticisin the rejection region.greater than(e) Interpret the decision in the context of the original claim.not equal toThereenough evidence at the % level of significance tothe claim that the mean annual salary for senior level product engineers is(Type integers or decimals. Do not round.)

Here, the null hypothesis is rejected.

Answered: There (is/is not) enough evidence at…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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There (is/is not) enough evidence at the ___% level of significance to (support/ Reject) the claim that the mean annual salary for senior level product engineers is

An employment information service claims the mean annual salary for senior level product engineers is $98,000. 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 = 0.10, test the claim that the mean salary is $98,000. Complete parts (a) through (e) below. Assume the population is normally distributed.
Annual Salaries
100,725
82,577
102,534
91,056
112,738 O
80,913
103,953
110,362
96,338 93,507
77,058
74,224
76,207 103,956
82,047 85,148
(a) Identify the claim and state Ho and Ha.
Ho:
98000
Hạ:
98000
(Type integers or decimals. Do not round.)
The claim is the
null
hypothesis.
(b) Use technology to find the critical value(s) and identify the rejection region(s).
The critical value(s) is/are to
- 1.75,1.75.
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Choose the graph which shows the rejection region.

t< - to, t>to
t< to
- to <t<to
t> to
-4
0 to
4
-4
to 0
-4
- to 0 to
4
-4
4
(c) Find the standardized test statistic, t.
less than or equal to
The standardized test statistic is t= - 1.87.
equal to
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
less than
(d) Decide whether to reject or fail to reject the null hypothesis.
greater than or equal to
Reject
Ho because the standardized test statistic
is
in the rejection region.
greater than
(e) Interpret the decision in the context of the original claim.
not equal to
There
enough evidence at the % level of significance to
the claim that the mean annual salary for senior level product engineers is
(Type integers or decimals. Do not round.)

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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