Use technology to help you test the claim about the population mean, u, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed.Claim: µs 1290; a = 0.05; o = 206.33. Sample statistics: x = 1319.78, n = 250Identify the null and alternative hypotheses. Choose the correct answer below.O A. Ho: HS1290B. Ho: H2 1290HaiH<1290Ha: H> 1290O C. Ho: H> 1319.78Ha: HS 1319.78O D. Ho:s 1319.78HaiH>1319.78O E. Ho: H2 1319.78O F. Ho: H> 1290Ha: H< 1319.78Haius 1290Calculate the standardized test statistic.The standardized test statistic is(Round to two decimal places as needed.)Determine the P-value.P =(Round to three decimal places as needed.)Determine the outcome and conclusion of the test.Ho. At the 5% significance level, thereenough evidence tothe claim.

Name: Use technology to help you test the claim about the population mean,
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Description: Use technology to help you test the claim about the population mean, u, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed.Claim: µs 1290; a = 0.05; o = 206.33. Sample statistics:

Given: μ=1290σ=206.33α=0.05x¯=1319.78n=250

Answered: Use technology to help you test the…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Use technology to help you test the claim about the population mean, u, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed.
Claim: µs 1290; a = 0.05; o = 206.33. Sample statistics: x = 1319.78, n = 250
Identify the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: HS1290
B. Ho: H2 1290
HaiH<1290
Ha: H> 1290
O C. Ho: H> 1319.78
Ha: HS 1319.78
O D. Ho:s 1319.78
HaiH>1319.78
O E. Ho: H2 1319.78
O F. Ho: H> 1290
Ha: H< 1319.78
Haius 1290
Calculate the standardized test statistic.
The standardized test statistic is
(Round to two decimal places as needed.)
Determine the P-value.
P =
(Round to three decimal places as needed.)
Determine the outcome and conclusion of the test.
Ho. At the 5% significance level, there
enough evidence to
the claim.

Expert Solution

Step 1

Given:

$μ = 1290 σ = 206.33 α = 0.05 \bar{x} = 1319.78 n = 250$

Step 2

Hypothesis:

$H 0 : μ > 1290 H a : μ \leq 1290$

Test statistic

$\begin{array}{rcl} z & = & \frac{\bar{x} - μ}{\frac{σ}{\sqrt{n}}} \\ = & \frac{1319.78 - 1290}{\frac{206.33}{\sqrt{250}}} \\ = & 2.28 \end{array}$

Test statistic =2.28

using the excel formula "=NORM.S.DIST(2.28,TRUE)" p-value =0.989

p-value =0.989

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