(1) O Reject (2) O not sufficient O Fall to reject O sufficient 15 The accompany
ID: 3264710 • Letter: #
Question
(1) O Reject (2) O not sufficient O Fall to reject O sufficient 15 The accompanying data table lists the magntudes of 50 earthquakes measured on the Richter scale Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0 05 significance level Identiy the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test Assume this is a simple random sample Click the icon to view the sample data What are the hypotheses? OA, no =100 in magnitude H1 >100 in magnitude He -100 in magrade H,100 in mag hide H. -100 in magnitude H, #100inm.gr.hde Oc. OD. IT Sub Get Post Identfy the test statistic (Round to two decimal places as needed) Idendty the P value The P-value is Choose the cornect answer below O A. Reject Ho There is suficient evidence to conclude that the population of earthquakes has a mearn (Round to three decimal places as needed ) O B. Reject Hy There is insuficient evidence to conclude that the population of arquakes has a mean O C. Fail to reject Hy There is Insufficient evidence to conclude that the population of earthquakes has a O D. Fall to reject o There is suflicient evidence to conclude that the population of earthquakes has a magnitude greaber than 1.00 magniude greater than 1.00 mean magnbude greater than 1.00 mean magnitude greater than 1.00 6 Magntudes of 50 earthquakes SEL Magnitule of Earthquake 720 0740 06430 0700 2200 1500 0640 1220 0200 640 1320 2950 0900 1.760 1010 1260 0000 0650 1.450 1620 1830 0990 1560 390 1280 0830 1.350 0540 1250 920 1000 0790 790 1440 1000 2240 2500 1790 1250 1490 0840 1420 1000 1250 1420 1350 930 0400 1390 720 0740 0640 0390 0700 2200 1900 0640 1.220 0 200 16 The sccompanying data table lats tho weights of male college shudents in klograms Test the claim that male college shudents have a mean weight hat is ess than the 84 kg mean wsighe of malies in the general population Use a 0.10 signiáicance level Idendity the nul hypothesis, atemative hypothesis,e statstic. P.value, and conclusion for the test Assume this is a simple random sample Click the lcon to view the sample data This course (Math 210 -Elementary Stahistics Summer 2017) is Copyright 2017 Pearson Education Type here to search 00 wy ueExplanation / Answer
Solution:-
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: < 1.0
Alternative hypothesis: > 1.0
Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected if the sample mean is too small.
Formulate an analysis plan. For this analysis, the significance level is 0.01. The test method is a one-sample t-test.
Analyze sample data. Using sample data, we compute the standard error (SE), degrees of freedom (DF), and the t statistic test statistic (t).
SE = s / sqrt(n)
S.E = 0.0828
DF = n - 1 = 50 - 1
D.F = 49
t = (x - ) / SE
t = 2.21
where s is the standard deviation of the sample, x is the sample mean, is the hypothesized population mean, and n is the sample size.
The observed sample mean produced a t statistic test statistic of 2.21. We use the t Distribution Calculator to find P(t > 2.21) = 0.016.
Thus the P-value in this analysis is 0.016.
Interpret results. Since the P-value (0.016) is less than the significance level (0.05), we have to reject the null hypothesis.
Reject H0, There is sufficient evidence to conclude that population of earthquakes has a mean magnitude greater than 1.00.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.