You "clock" 14 of Steve Dalkowski's fastballs, obtaining a mean of 111.8 mph, with a stand deviation of 3.2 mph. To a 1% level of significance, can it be asserted that the average Dall fastball (in general) is over 110 mph? [Assume that the "speeds" of all of Dalkowski's fastballs are normally distributed.] 2 Greg Maddux throws 300 pitches, of which 237 are strikes. To a 1% level of significance, i in his boast that over 75% of his pitches (in general) are strikes?

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Answer questions 1 and 2 and show work as shown in the example
Assume that all samples are random.
1
You "clock" 14 of Steve Dalkowski's fastballs, obtaining a mean of 111.8 mph, with a standard
deviation of 3.2 mph. To a 1% level of significance, can it be asserted that the average Dalkowski
fastball (in general) is over 110 mph?
[Assume that the "speeds" of all of Dalkowski's fastballs are normally distributed.]
2
Greg Maddux throws 300 pitches, of which 237 are strikes. To a 1% level of significance, is he right
in his boast that over 75% of his pitches (in general) are strikes?
Transcribed Image Text:Assume that all samples are random. 1 You "clock" 14 of Steve Dalkowski's fastballs, obtaining a mean of 111.8 mph, with a standard deviation of 3.2 mph. To a 1% level of significance, can it be asserted that the average Dalkowski fastball (in general) is over 110 mph? [Assume that the "speeds" of all of Dalkowski's fastballs are normally distributed.] 2 Greg Maddux throws 300 pitches, of which 237 are strikes. To a 1% level of significance, is he right in his boast that over 75% of his pitches (in general) are strikes?
Assume that all samples are random.
82 fastballs thrown by Aroldis Chapman had a mean speed of 102.4 mph, with a standard deviation of .9 mph.
99 fastballs thrown by Joel Zumaya had a mean speed of 102.1 mph, with a standard deviation of .8 mph.
To a 2% level of significance, can it be asserted that, in general, Chapman's fastballs are faster than Zumaya's fastballs?
Chapman
m = 82
x=102.4
x-y's
$₁3.9
M₂=?
m = 1000
410
1000 =.41
P=?
p=
Zumaya
n=99
y=102.1
$₂=-8
M₂=? 2%
0₂= ?
2.35
1000 men and 1200 women are polled; it's found that 410 of the men and 744 of the women underestimate their mathematical
ability. To a 1% level of significance, can it be asserted that, in general, a smaller percentage of men than women
underestimate their mathematical ability?
Men
Women
n=1200
= 7.62
q=? 1%
(410 + 744)
(1000+1200)
=5245
2.52
√² + 0² -
3
83
≈.1271
A self-proclaimed "serial killer.expert" claims that 10% of
0
(x-1)-0's
-1274
Ho: M₁ M₂
HA: M₁ M₂ ACCEPT!
Z
P(1-P) +91-9)
1000
1200
~VA
+
1000
≈.02139
52.48
$200
-9.82)
O
1/
2%
2.05? YES!
(-)-o's
.02139
Ho:p=8
HA:P<8
Z
-2.33 0
YES!!!!
Transcribed Image Text:Assume that all samples are random. 82 fastballs thrown by Aroldis Chapman had a mean speed of 102.4 mph, with a standard deviation of .9 mph. 99 fastballs thrown by Joel Zumaya had a mean speed of 102.1 mph, with a standard deviation of .8 mph. To a 2% level of significance, can it be asserted that, in general, Chapman's fastballs are faster than Zumaya's fastballs? Chapman m = 82 x=102.4 x-y's $₁3.9 M₂=? m = 1000 410 1000 =.41 P=? p= Zumaya n=99 y=102.1 $₂=-8 M₂=? 2% 0₂= ? 2.35 1000 men and 1200 women are polled; it's found that 410 of the men and 744 of the women underestimate their mathematical ability. To a 1% level of significance, can it be asserted that, in general, a smaller percentage of men than women underestimate their mathematical ability? Men Women n=1200 = 7.62 q=? 1% (410 + 744) (1000+1200) =5245 2.52 √² + 0² - 3 83 ≈.1271 A self-proclaimed "serial killer.expert" claims that 10% of 0 (x-1)-0's -1274 Ho: M₁ M₂ HA: M₁ M₂ ACCEPT! Z P(1-P) +91-9) 1000 1200 ~VA + 1000 ≈.02139 52.48 $200 -9.82) O 1/ 2% 2.05? YES! (-)-o's .02139 Ho:p=8 HA:P<8 Z -2.33 0 YES!!!!
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