Question

A t-test is generally used to analyze data with _____ level(s), and an ANOVA is generally used to analyze data with _____ level(s).

a.            less than two; more than two

               b.            one; one or more

               c.            two; more than two

               d.            more than two; two

              

If you examined the effect of studying 0, 1, or 2 hours a day on grades, how        would you write the null hypothesis?

               a.            µ_D = 0

               b.            µ₁ - µ₂ = 0

               c.            µ₁ - µ₂ - µ₃ = 0

               d.            µ₁ = µ₂ = µ₃

              

In both the inferential z-test and the single-sample t-test, _____ must be known.

               a.            m

               b.            S_x

               c. D

               d.            s_x

A statistician was testing the following set of hypotheses: H₀: p = 0.86 versus H_a: p ? 0.86. Using a random sample of size 178, he found z = 1.58. What is the p-value associated with this test?

a. 0.0285        b. 0.0571

c. 0.1142        d. 0.9429

Answer 1

(i) The t-test is generally used to analyze data with (two) levels and an ANOVA is generally used to analyze data with (more than two) levels. Hence, option(c) is correct.

(ii) µ1 = µ2 = µ3, Hence, option(c) is correct.

(iii) In both the inferential z-test and the single-sample t-test, (mean(M)) must be known.

(iv)A statistician was testing the following set of hypotheses: H0: p = 0.86 versus Ha: p ? 0.86. Using a random sample of size 178, he found z = 1.58. What is the p-value associated with this test?

answer: p-value= 0.1141069 , (R:code :- 2*pnorm(1.58,lower.tail = F))

Hence, option(c) is correct(for two-tailed test).