Please help me find the following. Drop down answers are ( reject/fail to reject) and (insufficient/sufficient) What are the hypotheses?ΟΑ H0: με 1000 hicH;:µ< 1000 hicB. Ho: H= 1000 hicH,: µ2 1000 hicOc. Ho: H> 1000 hicH;:µ< 1000 hicO D. Ho: H< 1000 hicH1: u2 1000 hicIdentify the test statistic.t=|| (Round to three decimal places as needed.)Identify the P-value.The P-value is(Round to four decimal places as needed.)State the final conclusion that addresses the original claim.Ho. There isevidence to support the claim that the sample is from a population with a mean less than 1000 hic.What do the results suggest about the child booster seats meeting the specified requirement?O A. The requirement is met since most sample measurements are less than 1000 hic.O B. There is strong evidence that the mean is less than 1000 hic, but one of the booster seats has a measurement that is greater than 1000 hic.OC. The results are inconclusive regarding whether one of the booster seats could have a measurement that is greater than 1000 hic.D. There is not strong evidence that the mean is less than 1000 hic, and one of the booster seats has a measurement that is greater than 1000 hic.

Answered: What are the hypotheses? ΟΑ H0: με 1000…

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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Please help me find the following.

Drop down answers are ( reject/fail to reject) and (insufficient/sufficient)

What are the hypotheses?
ΟΑ H0: με 1000 hic
H;:µ< 1000 hic
B. Ho: H= 1000 hic
H,: µ2 1000 hic
Oc. Ho: H> 1000 hic
H;:µ< 1000 hic
O D. Ho: H< 1000 hic
H1: u2 1000 hic
Identify the test statistic.
t=|
| (Round to three decimal places as needed.)
Identify the P-value.
The P-value is
(Round to four decimal places as needed.)
State the final conclusion that addresses the original claim.
Ho. There is
evidence to support the claim that the sample is from a population with a mean less than 1000 hic.
What do the results suggest about the child booster seats meeting the specified requirement?
O A. The requirement is met since most sample measurements are less than 1000 hic.
O B. There is strong evidence that the mean is less than 1000 hic, but one of the booster seats has a measurement that is greater than 1000 hic.
OC. The results are inconclusive regarding whether one of the booster seats could have a measurement that is greater than 1000 hic.
D. There is not strong evidence that the mean is less than 1000 hic, and one of the booster seats has a measurement that is greater than 1000 hic.

Expert Solution

Step 1

The descriptive statistics for measurements is conducted using EXCEL. The software procedure is given below:

Enter the data.
Select Data > Data Analysis >Descriptive Statistics> OK.
Enter Input Range as Measurement column.
Mark Labels in First Row.
Mark Summary Statistics.
Click OK.

The output using EXCEL is as follows:

From the Excel output, the mean is 692, and the standard deviation is 273.8934.

Let $μ$ denotes the population mean.

The claim of the test is the sample is from a population with a mean less than 1,000 hic. The hypothesis is,

Null hypothesis:

$H_{0} : μ = 1000 h i c$

Alternative hypothesis:

$H_{1} : μ < 1000 h i c$

Correct Answer: Option A.

The test statistic is,

$\begin{array}{rcl} t & = & \frac{\bar{x} - μ}{(\frac{s}{\sqrt{n}})} \\ = & \frac{692 - 1, 000}{(\frac{273.8934}{\sqrt{6}})} \\ = & \frac{- 308}{111.8165} \\ = & - 2.755 \end{array}$

Thus, the test statistic is 2.755.

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