with data The accompanying data table lists the magnitudes of 50 earthquakes mea

Question

with data

The accompanying data table lists the magnitudes 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 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample What are the hypotheses? A. H_0: mu = 1.00 in magnitude H_1: mu > 1.00 in magnitude c. H_0: mu = 1.00 in magnitude H_1: mu

Explanation / Answer

here from above data:

therefore test stat t =(X-mean)/std error =(1.184-1)/0.083 =2.21

p value for above test and (n-1=49 ) degree of freedom = 0.0159

as p value is greater then 0.01 level of signifcance we can not reject null hypothesis.

we do not have sufficient evidence that population of earthquake has mean greater then 1.

please revert for an clarification

X 0.71 0.74 0.64 0.39 0.7 2.2 1.98 0.64 1.22 0.2 1.64 1.31 2.95 0.9 1.76 1.01 1.26 0 0.65 1.46 1.62 1.83 0.99 1.56 0.38 1.28 0.83 1.33 0.54 1.25 0.92 1 0.79 0.79 1.44 1 2.24 2.5 1.79 1.25 1.49 0.84 1.42 1 1.25 1.42 1.35 0.93 0.4 1.39 mean(X) 1.184 std deviation(S) 0.588 std error =S/(n)1/2 0.083

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.