If you need help Joe is measuring the widths of doors he bought to install in an apartment complex. He measured
72 doors and found a mean width of 36.1 inches with a standard deviation of 0.3 inches. To test if
the doors differ significantly from the standard industry width of 36 inches, he computes a z-
statistic
ZE
X-H
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What is the value of Joe's z-test statistic?
O 1.81
O 2.83
о
-2.83
O 1.81
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RI
a
11:25 AM
6/23/2021
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0

10000000000000000000000000000000

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

answer: $1794

step-by-step explanation: