2. At the = 0.01 significance level, test for sufficient evidence of differences
ID: 3360073 • Letter: 2
Question
2. At the = 0.01 significance level, test for sufficient evidence of differences in the population mean number of bacteria among the three different contact groups. a) State the null and alternative hypotheses. b) State the conditions necessary for a valid hypothesis test. Comment on whether each condition is met (or if it's unclear if the condition is met) c) Report the test statistic you calculated in Problem 1 d) Calculate and interpret the P-value. e) Compare the P-value to the significance level and make a conclusion within the context of the problem.Explanation / Answer
Ans:
H0:Mean number of bacterias are equal among 3 groups.
Ha:Mean number of bacterias are not equal among three groups.
ANOVA table:
Test statistic:
F=MSbetween/MSwithin=10.640
p-value=Fdist(10.640,2,12)=0.002
As,p-value=0.002<0.01,we reject null hypothesis.
There is sufficient evidence to conclude that mean number of bacterias are not equal among three groups.
handshake Hi five Fist bump 1 95 74 50 2 74 70 79 3 107 49 56 4 96 43 64 5 92 63 71 mean= 92.800 59.800 64.000 std. Dev= 11.946 13.368 11.554Related Questions
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