Question

13: A national survey found that the average number of banking services used was 4.1 per month. An Analyst for the Maleo State Bank sampled its customers, and generated the following output for a one sample test in Data Analysis. Ifa - 05, do the customers at Malco State Bank use banking services more than the national average of 4.1 times per month? Hypothesized mean 4.1 Mean Variance Observations df Stat P(T<t) one-tail t Critical one-tail PIT<t) two-tail t Critical two-tail Sample 5.026 4.736 77 76 3.733 0.0002 1665 0.0004 1992 The decision rule, using the critical value oft is: A B: Reject Ho if tale < 1.665 Reject Ho ifte > 1.665 Reject Ho iftale-1.992 or > 1.992 Reject Ho if tcalc<-1.665. C: D: o i W

Answer 1

$\mathbf{Reject \ H_{0}\ if\ t_{calc}>1.665(B)}$

[ explanation:-

hypothesis:-

$H_{0}:\mu=4.1$

$H_{1}:\mu>4.1$ [ claim ]

this is a right tailed test.

the rejection region be:-

$t_{calc}>1.665$

[ by the given output we have, t critical value for one tailed test = 1.665...as this is a right tailed test, the rejection region be > 1.665 ] ]

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