Consider the following sample data. Use Table 6 8 5 1 76 5 a. Specify the compet

Question

Consider the following sample data. Use Table 6 8 5 1 76 5 a. Specify the competing hypotheses to determine whether the median is less than 10. Ho: m-10; Ha: m # 10 Ho: m s 10, Ha: m > 10 O Ho: m 2 10; HA: m 10 b. With = 0.05, what is the decision rule? Reject Ho, if Ts TL-2 Reject Ho, if T> = 2 c. Calculate the value of the test statistic T. (Round your answer to nearest whole number.) Test statistic d. Can we conclude that the median is less than 10? O Yes, since we reject Ho. O Yes, since we do not reject Ho- ONo, since we reject Ho- O No, since we do not reject Ho

Explanation / Answer

Here the numbers in ascending order is :

(a) H0 : m 10 ; Ha : m < 10  { option D is correct]

(b) here we will reject the null if T TL =2

(C) Here T is the number of values above 10.

so T = 1

(D) Yes, as T   TL so we shall reject the null hypothesis and can say that median is less than 10.

5 5 6 7 8 11

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