6.3. For a test of Hq: /x - 0 against Ha: /x ^ 0 with n =

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6.3. For a test of Hq: /x - 0 against Ha: /x ^ 0 with n = 1000, the I test statistic equals 1.04.

(a) Find the P-valuc and interpret it. (Note: You can use the standard normal to approximate the t distribution.)

(b) Suppose t = -2.50 rather than 1.04. Find the P-value. Does this provide stronger, or weaker, evidence against the null hypothesis?

Explain.

(c) When l = 1.04. find the P-valuc for (i) H,,:

/x > 0, (ii) H„: /x < 0.

6.4. The P-value for a test about a mean with n = 25 is P - 0.05.

(a) Find the I test statistic value that has this Pvaluc for (i) Ha: fx ¥= 0, (ii) Ha: /x > 0,

(iii) Ha\ /x < 0.

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