a) Find the test statistic for this hypothesis test. tSTAT= The critical values
ID: 3362490 • Letter: A
Question
a) Find the test statistic for this hypothesis test.
tSTAT=
The critical values for the test statistics is (are)=
Is there sufficient evidence to reject the hypothesis using alpha= 0.10?
b) Determine the p value and interpret the meaning
A metropolitan transportation authority has set a bus mechanical reliability goal of 3,900 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,925 bus miles and a sample standard deviation of 175 bus miles Complete parts (a) and (b) below a. Is there evidence that the population mean bus miles is more than 3,900 bus miles? (Use a 0.05 level of significance) State the null and alternative hypotheses Ho: s: 3900 | H11 > 3900 (Type integers or decimals) Find the test statistic for this hypothesis test STAT Round to two decimal places as needed Enter youranswerin the answer box and then cick check Answer 4 PenmaininExplanation / Answer
xbar = 3925
std. dev. = 175
n = 100
SE = 175/sqrt(100) = 17.5
Test statistics, t = (3925 - 3900)/17.5 = 1.4286
Critical value of test statistics is 1.6604 (significance level 0.05)
Critical value of test statistics is 1.2902 (significance level 0.1)
At significance level 0.1 we reject the null hypothesis.
p-value = 0.0766
As p-value is less than significance level of 0.1, we reject the null hypothesis.
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