This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: MGT 2250 — Quiz #23
2 Sides Answers : 1) Management at a magazine designed for young adult readers had been
operating under the assumption that the average age of its readers is 28 years
old. Some newer members of the management team believe that average age
of the readers is actually younger than 28. They proposed that a study he
conducted to test if they are correct in this belief. A sample of n=100 readers
was polled as to their age. The standard deviation of the population was
assumed to be 5 years. a) Formulate the null and alternative hypotheses for this proposed study. {A W,
Mae 1/ 3:25 [fr/a, Hat/1,}: 4 .95 g
I b) At alpha = 0.05, what is the probability of making a Type II
error if the true population mean is 26 Years? What is the
power of the test? See following sheets c) At alpha = 0.05, what is the probability of making a Type II
error if the true population mean is 27 Years? What is the
power of the test? See following sheets d) At alpha = 0.05, what is the probability of making a Type 11
error if the true population mean is 27.5 Years? What is the
power of the test? See following sheets X] I].
I 1/ ’5’ if” e) If management were willing to accept a beta = .05 at alpha =
.05, what size “n” would be needed if the true population age was 26? 7/; L '5:
.3 x“
’10:; a? V ,ﬂzz\
Mfr“ \‘ '
f1 f"; 9"“? \
V/grgi/ :1 \f! 3 f) If management required a beta = .01 at alpha = .05, what'size '7 r 7‘
“11” would be needed if the true population age was 26? 1’ m
N/7 zX , (‘L
{L “L g M g N Wm M.. w  r WWW up“
/ r ,/“ a 1"“? if (K? V .... W M
7% \ ix“? '. "x \ \
n «I \ $5“ . ' v? i' fr
k (,1 r L [a / C A (“W ﬂ \
“‘ 1i iii/fag?
/ ‘ ,f V.
l: \\ . / /
ize ‘ ' ’ g) If management required a beta = .01 at alpha = .05, what s
“11” would be needed if the true population age was 27? A, f. _ s . 2...? I? W “Z”
, ,/ /; Mfg W23} £73 j)
/ L k lﬂiﬂ i warw'mnﬁw w "ﬂ yﬁ K g 7 V / "’" N :1; Z} e x ' L J. w’ y F V
.«v—mw “3 ﬂ, I? {a l
a! 17‘ V? . h) If management wanted to maintain a beta = .01 and alpha =
.01, what size “11” would be needed if the true population age was 26?
/  a \ 2; / WA
/ F I z“ a j
{A “r E3 35.x} LB J
/ r F“ r “‘7 rm 62:”
LfQZE’B 57"” «j! I", 1/; V [K
gnaw“ ‘ 1K; / ...
View
Full Document
 Summer '08
 Milne
 Statistics, Mean, Null hypothesis, Type I and type II errors, true population

Click to edit the document details