Testing claim using rejection regions. In exercises 15-22 (A) identify the claim

Question

Testing claim using rejection regions.

In exercises 15-22

(A) identify the claim and state Ho and Ha

(b)find the critical values ((s)) and identify the rejection region((s))

(C) find the standardized test statistic t.

(D)decide whether to reject or fail to reject the null hypothesis .

(E)interpret the decision in the context of the original claim.

Assume the population normally distributed. If convenient use the technology.

20-waste generated as part of your work for an environment awareness group, you want to test a claim that the mean amount of waste generated by adult in the united states is less than 5 pound per day. In a random sample of 19 adults in the United States, you find that the mean waste generated per person per day is 4.43 pound with standard deviation of 1.21pound. At level of significance, 0.01 can you support the claim?

please i need to follow the text books way

elementeary, statistic picturing the world. 6e

Explanation / Answer

20-waste generated as part of your work for an environment awareness group, you want to test a claim that the mean amount of waste generated by adult in the united states is less than 5 pound per day. In a random sample of 19 adults in the United States, you find that the mean waste generated per person per day is 4.43 pound with standard deviation of 1.21pound. At level of significance, 0.01 can you support the claim?

A) identify the claim and state Ho and Ha

Ho : miu = 5 Ha : miu < 5

(b)find the critical values ((s)) and identify the rejection region((s))

for lpha = 0.01 df = 18 criticalv alue : -2.552

(C) find the standardized test statistic t.

t = ( 4.43 - 5 ) / ( 1.21 / srqt 19 ) = -2.05

(D)decide whether to reject or fail to reject the null hypothesis .

since t > critical value we fail to reject Ho

(E)interpret the decision in the context of the original claim.

there is no evidence to support the claim!

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