Use technology to help you test the daim about the population mean, , at the giv
ID: 3351241 • Letter: U
Question
Use technology to help you test the daim about the population mean, , at the given level of significance, . using the given sample statistics. Assume the population is normally distributed 17. Claim: > 1260; = 0.02; = 211.86. Sample statistics: x = 1279.23. n = 250 dentify the null and alternative hypotheses. Choose the correct answer below A. Ho : 1279.23 Ha: 1279.23 Ha : s 1279.23 0 B. D. Ho : 21260 OF. Ho:AS1260 Ho: s 1279.23 Ha: > 1279.23 Ha : 1260 () E. How> 1260 Ha : s 1260 Calculate the standardized test statistic. The standardized test statistic is Round to two docimal places as needed.) Determine the P-value. (Round to three Determine the outcome and conclusion of the test. (1) Ho. At the 2% significance level, there (2) (3) the claim. (1) O Reject (2)is (3) O support enough evidence to O Fail to reject O is not 0 rejectExplanation / Answer
Since we have the population given which has a claim to prove
mean > 1260
and populatin sd = 211.86
Sample mean = 1279.23
and sample size n= 250
So.,
Ho: mean <= 1260
Ha: mean > 1260
Ans F)
Ho: mean <= 1260
Ha: mean > 1260
We have to do z test here so std test stat
Z= (X'-mu)/(sd/sqrt(n)) = (1279.23-1260)/(211.86/sqrt(250)) = 1.43516
while the p value is 0.07562075 (Calculated in R using formula 1-pnorm(1.43516) =1-0.9243792 = 0.07562075)
If you don't have R then by looking at the z table for the value of z = 1.44 you get the same ans
(1) mean <= 1260 Ho at 2% significance level , there (2) mean>1260 enough evidence to reject the claim
(We cannot reject the Ho as p value is not less than 0.02 for 2% significance and so we fail to reject the claim that mean <=1260 )
Fail to Reject as explained above
Hope the above answer has helped you in understanding the proble. Please upvote the ans if it has really helped you. Good Luck!!
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