1)
type I error is reject Ho, when it is true
answer is
the company charge sthe customer the premium rate when they should
not
2)
type II error is fail to reject false Ho
so, answer is
the company do not charge the customer permium rate when they
should.
3)
population std dev , σ = 7
Sample Size , n = 25
Sample Mean, x̅ = 16.50
' ' '
Standard Error , SE = σ/√n = 1.4000
Z-test statistic= (x̅ - µ )/SE =
1.071
p-Value = 0.1420 [excel
function =NORMSDIST(z)]
so, type I error = 0.1420
4)
true mean , µ = 15
hypothesis mean, µo = 16.5
significance level, α = 0.1420
sample size, n = 25
std dev, σ = 7
δ= µ - µo = -1.5
std error of mean, σx = σ/√n =
1.4000
Zα = 1.0714 (right
tailed test)
We will fail to reject the null (commit a Type II error) if we get
a Z statistic <
1.0714
this Z-critical value corresponds to X critical value( X critical),
such that
(x̄ - µo)/σx ≤ Zα
x̄ ≤ Zα*σx + µo
x̄ ≤
18.000 (acceptance region)
now, type II error is ,ß = P( x̄ ≤
18.000 given that µ = 15
= P ( Z < (x̄-true mean)/σx )
= P ( Z < 2.143
)
= 0.98394
power = 1 - ß = 0.0161
(4 points) Fowle Marketing Research, Inc., bases charges to a cient on the assumption that teleph...
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