Consider the following hypothesis test:Но: и > 20< 20На: иA sample of 50 provided a sample mean of 19.4. The population standard deviation is 2.a. Compute the value of the test statistic (to 2 decimals). If your answer is negative, use minus "-"signb. What is the p-value (to 3 decimals)?.05, can it be concluded that the population mean is less than 20?C. Using a =Selectd. Using a = .05, what is the critical value for the test statistic? If your answer is negative, use minus "-signe. State the rejection rule: Reject H o if z is Selectthe critical value.f. Using a.05, can it be concluded that the population mean is less than 20?Select

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Asked Nov 16, 2019
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Consider the following hypothesis test:
Но: и > 20
< 20
На: и
A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2.
a. Compute the value of the test statistic (to 2 decimals). If your answer is negative, use minus "-"
sign
b. What is the p-value (to 3 decimals)?
.05, can it be concluded that the population mean is less than 20?
C. Using a =
Select
d. Using a = .05, what is the critical value for the test statistic? If your answer is negative, use minus "-
sign
e. State the rejection rule: Reject H o if z is Select
the critical value.
f. Using a
.05, can it be concluded that the population mean is less than 20?
Select
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Consider the following hypothesis test: Но: и > 20 < 20 На: и A sample of 50 provided a sample mean of 19.4. The population standard deviation is 2. a. Compute the value of the test statistic (to 2 decimals). If your answer is negative, use minus "-" sign b. What is the p-value (to 3 decimals)? .05, can it be concluded that the population mean is less than 20? C. Using a = Select d. Using a = .05, what is the critical value for the test statistic? If your answer is negative, use minus "- sign e. State the rejection rule: Reject H o if z is Select the critical value. f. Using a .05, can it be concluded that the population mean is less than 20? Select

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Expert Answer

Step 1

Hi! Thank you for posting the question. Since your question has more than three sub-parts, we have solved the first three sub-parts for you. If you need help with any other parts, please re-post the question and mention the part you need help with.

Step 2

a)

Computation of test statistic:

In this context, the claim is that the mean time is 20 or less. Therefore, H0:µ ≥ 20 Vs H1:µ< 20. Here, the sample mean, x-bar is 19.4, Population mean, µ is 20.Population standard deviation, σ = 2. Sample size, n is 50. The test statistic for z-test is calculated as 2.96 from the calculations given below.

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Z = 19.4 20 2 50 -0.6 0.2828 =-2.12

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Step 3

b.

The P-value for the z-test can be obtained using the excel formula,=NORM.S.DIST(-2.12,TRUE)”. Thus, the P...

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Hypothesis Testing

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