MINDTAP From Congage Search this courseYuyiu Ch. 9 HW 2. 3 4. Check My Work (2 r

Question

MINDTAP From Congage Search this courseYuyiu Ch. 9 HW 2. 3 4. Check My Work (2 remaining) Video 5 Consider the following hypothesis test: 6. Ho: ? 27 A sample of 40 provided a sample mean of 28.4. The population standard deviation is 5 a. Compute the value of the test statistic (to 2 decimals) 9. 10. b. What is the p-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations c.At a 0.01, what is your conclusion? p-value is-Select your answer d. What is the rejection rule using the critical value? 12. 13. ?: ? > 27 A sample of 40 provided a sample mean of 28.4. The population standard deviation is 5 a. Compute the value of the test statistic (to 2 decimals). 8, 9. 10. b. What is the p-value (to 4 decimals)? Use the value of the test statistic rounded to 2 decimal places in your calculations. 12. c. At a 0.01, what is your conclusion? p-value is Select your answer d. What is the rejection rule using the critical value? Reject Ho if z is-Select your answer- What is your conclusion? 13. Select your answer Check My Work (2 remaining) Icon Key Exercise 09.10 (Self-Test) Algorithmic Question 4 of 13

Explanation / Answer

a) mu=27
n=40
xbar=28.4
sd =5
z =(xbar-mu)/(sd/sqrt(n)) = 1.771

so test statistics = 1.771

b) p.value=pnorm(q = z,mean = 0,sd = 1,lower.tail = FALSE)

= 0.03829

c) at alpha =0.01

p>0.01

so we accept H_0

d) alpha = 0.01

z.alph= qnorm(1-0.01) =  2.326

z < z.alpha

accept H_0.

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