# Practice steps of test for mean For a quantitative variable, you want to test H o : = 0 against H…

Practice steps of test for mean For a quantitative variable, you want to test Ho:  = 0 against Ha:   0. The 10 observations are

3, 7, 3, 3, 0, 8, 1, 12, 5, 8.

a. Show that (i)  = 5.0, (ii)  = 3.71, (iii) standard error = 1.17, (iv) test statistic = 4.26, and (v) df = 9.

b. The P-value is 0.002. Make a decision using a significance level of 0.05. Interpret.

c. If you had instead used Ha:   0, what would the P-value be? Interpret it.

d. If you had instead used Ha:   0, what would the P-value be? Interpret it.

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