# 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

Question
1 views
check_circle

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.

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...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in