An employment information service claims the mean annual salary for senior level product engineers is$97,000.The annual salaries (in dollars) for a random sample of16senior level product engineers are shown in the table to the right. Atα=0.01,test the claim that the mean salary is$97,000.Complete parts (a) through (e) below. Assume the population is normally distributed. Annual Salaries 100,68796,26893,513112,821 82,51474,15577,08081,002102,39276,182104,074103,92391,06982,15685,068110,297 Question content area bottomPart 1(a) Identify the claim and stateH0andHa. H0: muμ equals= 9700097000Ha: muμ not equals≠ 9700097000(Type integers or decimals. Do not round.) The claim is thenull hypothesis.Part 2(b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/aret0=negative 2.95 comma 2.95−2.95,2.95.(Use a comma to separate answers as needed. Round to two decimal places as needed.)Part 3Choose the graph which shows the rejection region. A. -4 0 4 tt0t>t0 A graph labeled t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. A vertical line segment extends from the curve to the t-axis at a point labeled t 0, where t 0 is to the right of 0. The area under the curve to the right of t 0 is shaded. B. 0 -44t−t0t0t<−t0, t>t0 A graph labeled t less than negative t 0, t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The areas under the curve to the left of negative t 0 and to the right of t 0 are shaded.Your answer is correct. C. -4 0 4 tt0t<t0 A graph labeled t less than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. A vertical line segment extends from the curve to the t-axis at a point labeled t 0, where t 0 is to the left of 0. The area under the curve to the left of t 0 is shaded. D. 0 -44t−t0t0−t0<t<t0 A graph labeled negative t 0 less than t less than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The area under the curve between negative t 0 and t 0 is shaded.Part 4(c) Find the standardized test statistic, t. The standardized test statistic ist=enter your response here.(Round to two decimal places as needed.) I just need C answered

The sample size is 16, population mean is $97,000.

Answered: Part 4 (c) Find the standardized test…

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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Question content area bottom

Part 1

(a) Identify the claim and state

and

Ha.

H0:	muμ equals= 9700097000
Ha:	muμ not equals≠ 9700097000

(Type integers or decimals. Do not round.)

The claim is the

null

hypothesis.

Part 2

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

The critical value(s) is/are

t0=negative 2.95 comma 2.95−2.95,2.95.

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

Part 3

Choose the graph which shows the rejection region.

-4 0 4 t

t>t0

A graph labeled t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. A vertical line segment extends from the curve to the t-axis at a point labeled t 0, where t 0 is to the right of 0. The area under the curve to the right of t 0 is shaded.

0 -44t

−t0

t<−t0, t>t0

A graph labeled t less than negative t 0, t greater than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The areas under the curve to the left of negative t 0 and to the right of t 0 are shaded.

Your answer is correct.

-4 0 4 t

t<t0

A graph labeled t less than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. A vertical line segment extends from the curve to the t-axis at a point labeled t 0, where t 0 is to the left of 0. The area under the curve to the left of t 0 is shaded.

0 -44t

−t0

−t0<t<t0

A graph labeled negative t 0 less than t less than t 0 has a horizontal t-axis labeled from negative 4 to 4 in increments of 4. A symmetric bell shaped t-distribution curve is above the t-axis and centered on 0. Two vertical line segments extend from the curve to the t-axis at the points labeled negative t 0 and t 0, where t 0 is to the right of 0. The area under the curve between negative t 0 and t 0 is shaded.

Part 4

(c) Find the standardized test statistic, t.

The standardized test statistic is

t=enter your response here.

(Round to two decimal places as needed.)

I just need C answered

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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An employment information service claims the mean annual salary for senior level product engineers is $97,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At α=0.01, test the claim that the mean salary is $97,000. Complete parts (a) through (e) below. Assume the population is normally distributed.
Annual Salaries
100	,687	96	,268	93	,513	112	,821
82	,514	74	,155	77	,080	81	,002
102	,392	76	,182	104	,074	103	,923
91	,069	82	,156	85	,068	110	,297

Part 4 ​(c) Find the standardized test​ statistic, t. The standardized test statistic is t=enter your response here. ​(Round to two decimal places as​ needed.) I just need C answered

Question content area bottom

Part 1

Part 2

Part 3

Part 4

Part 4 (c) Find the standardized test statistic, t. The standardized test statistic is t=enter your response here. (Round to two decimal places as needed.) I just need C answered