Question

1) Consider the hypotheses shown below. Given that x bar =113, σ = 25​, n=49​, α=0.01​, complete parts a and b.

Upper H0​: μ =120

Uppe H1​: μ ≠ 120

What conclusion should be​ drawn?

a) The​ z-test statistic is

b) The critical​ z-score(s) is (are)

c) Because the test statistic ____ _____ the null hypothesis

2) Consider the hypotheses shown below. Given that x bar=57​, σ=12​, n=39​, α=0.01​,

complete parts a and b.

Upper H0​: μ ≤ 54

Upper H1​: μ > 54

What conclusion should be ​drawn?

a) The​ z-test statistic is

b) The critical​ z-score(s) is (are)

c) Because the test statistic ____ _____ the null hypothesis

3) Complete the following statement. The probability of a Type I error is denoted as​ ____

a: sigma

b: beta

c: rho

d: alpha

4) A recent study reported that​ 26% of home buyers in the state of Florida are​ foreigners; when testing the validity of this​ report, a Type II error would occur if it was concluded that the proportion of foreign buyers was​ ____

a: equal to​ 26% when, in​ reality, the proportion was not equal to​ 26%

b: ​26% or less​ when, in​ reality, the proportion was more than​ 26%

c: more than​ 26% when, in​ reality, the proportion was​ 26% or less

d: not equal to​ 26% when, in​ reality, the proportion was equal to​ 26%

5) A travel agency would like to test if the average roundtrip airfare between New York and London is less than​ $1,400; a Type I error would occur if the agency concludes that the average airfare is ____

a: $1,400 or more​ when, in​ reality, the average airfare is less than​ $1,400

b: equal to​ $1,400 when, in​ reality, the average airfare is not equal​ $1,400 or more

c: less than​ $1,400 when, in​ reality, the average airfare is​ $1,400 or more

d: not equal to​ $1,400 when, in​ reality, the average airfare is equal to​ $1,400

Answer 1