Raesnons https:/rxlitemprod pearsoncmg.com/api vi 1. Classify the two given samp
ID: 3219855 • Letter: R
Question
Raesnons https:/rxlitemprod pearsoncmg.com/api vi 1. Classify the two given samples as independent or dependent Derr, Ch. Sample 2 The test scores of 46 students who than eight hours of seep the to taking the test Choose the The test scores of 30 students who had at least eight hours of sieep the nightprior to taking the test correct answer below. A. The two given samples are independent because the same students were sampled. O B. The two given samples are independent because different students were sampled O C. The two given samples are dependent because different students were sampled O D. The two given samples are dependent because the same students were sampled 2. Test the claim about the difference between two population means wt and wr atthe evel of signscance a Assume te samples random and independent, and the populations are normally distributed. Claim: H1-H2: o 0.01 Population statistics: o, 3,2, o2 1.6 sample statistics: X1 14, n, 30. X2 12, n2-26 Determine the alternative hypothesis. Ha H1 (1) Determine the standardized test statistic, (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) What is the proper decision? O A. Fail to reject Ho. There is enough evidence at the 1% level of significance to reject the claim. O B. Reject Ho. There is enough evidence at the 1% level of significance to reject the daim. O C. Reject Ho. There is not enough evidence at the 1% level of significance to reject the claim. O D. Fail to reject Ho. There is not enough evidence at the 1% level of significance to reject the claimExplanation / Answer
(1) Option (B) is correct.
The two given samples are independent because different students were sampled
(2)
Alternative hypothesis, Ha: mu1 not equals to mu2
SE = sqrt[ (s12/n1) + (s22/n2) ]
(s12/n1) 0.3413
(s22/n2) 0.0985
SE 0.6632
test statistics
z = (x1bar - x2bar)/SE = 2/0.6632 = 3.0158
p-value = 0.00128
As p-value is less than significance level of 0.01, we reject the null hypothesis. Option (C) is correct.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.