Question
In: Statistics and Probability
The president of Doerman Distributors, Inc., believes that 26% of the firm's orders come from first-time...
The president of Doerman Distributors, Inc., believes that 26% of the firm's orders come from first-time customers. A simple random sample of 100 orders will be used to estimate the proportion of first-time customers. p=0.26
1. What is the probability that the sample proportion will be between .12 and .40 (to 4 decimals)?
2. What is the probability that the sample proportion will be between .17 and .35 (to 4 decimals)?
Solutions
Expert Solution
Solution
Given that,
p = 0.26
1 - p = 1-0.26 = 0.74
n = 100
= p = 0.26
= 
1) P(0.12 <
< 0.40)
= P[(0.12 -0.26) /0.0439 < (
-
) /
< (0.40 - 0.26) /0.0439 ]
= P( -3.19< z < 3.19)
= P(z <3.19 ) - P(z < -3.19)
= 0.9993 - 0.0007 = 0.9986
probability = 0.9986
2)
P(0.17 <
< 0.35)
= P[(0.17 -0.26) /0.0439 < (
-
) /
< (0.35 - 0.26) /0.0439 ]
= P( -2.05< z < 2.05)
= P(z <2.05 ) - P(z < -2.05)
= 0.9798 - 0.0202= 0.9596
probability = 0.9986
orchestra answered 1 year agoRelated Solutions
The president of Doerman Distributors, Inc., believes that 25% of the firm's orders come from first-time...
The president of Doerman Distributors, Inc., believes that 25%
of the firm's orders come from first-time customers. A random
sample of 100 orders will be used to estimate the proportion of
first-time customers.
(a)
Assume that the president is correct and
p = 0.25.
What is the sampling distribution of
p
for n = 100? (Round your answer for
σp
to four decimal places.)
σp
=
E(p)
=
Since np = and n(1 − p) = , approximating the sampling...
The president of Doerman Distributors, Inc., believes that 30% of the firm's orders come from first-time...
The president of Doerman Distributors, Inc., believes that 30%
of the firm's orders come from first-time customers. A random
sample of 100 orders will be used to estimate the proportion of
first-time customers.
(a)
Assume that the president is correct and
p = 0.30.
What is the sampling distribution of
p
for n = 100? (Round your answer for
σp
to four decimal places.)
σp
=
E(p)
=
Since np = and n(1 − p)
= , approximating the sampling distribution with...
The president of Doerman Distributors, Inc., believes that 30% of the firm’s orders come from first-time...
The president of Doerman Distributors, Inc., believes that 30%
of the firm’s orders come from first-time customers. A random
sample of 100 orders will be used to estimate the proportion of
first-time customers. Assume that the president is correct and p
=0.30. What is the probability that the sample proportion will be
between 0.25 and 0.35?
Based on historical data, your manager believes that 30% of the company's orders come from first-time...
Based on historical data, your manager believes that 30% of the
company's orders come from first-time customers. A random sample of
77 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is between 0.34 and 0.47?
Based on historical data, your manager believes that 37% of the company's orders come from first-time...
Based on historical data, your manager believes that 37% of the
company's orders come from first-time customers. A random sample of
81 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is between 0.31 and 0.48? Note: You should carefully
round any z-values you calculate to 4 decimal places to match
wamap's approach and calculations. Answer = (Enter your answer as a
number accurate to 4 decimal places.)
Based on historical data, your manager believes that 44% of the company's orders come from first-time...
Based on historical data, your manager believes that 44% of the
company's orders come from first-time customers. A random sample of
59 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is between 0.33 and 0.49?
(Enter your answer as a number accurate to 4 decimal places.)
Based on historical data, your manager believes that 31% of the company's orders come from first-time...
Based on historical data, your manager believes that 31% of the
company's orders come from first-time customers. A random sample of
187 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is greater than than 0.23?
Based on historical data, your manager believes that 34% of the company's orders come from first-time...
Based on historical data, your manager believes that 34% of the
company's orders come from first-time customers. A random sample of
192 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is less than 0.29?
Note: You should carefully round any z-values you calculate to 4
decimal places to match wamap's approach and calculations.
Answer = (Enter your answer as a number accurate to 4 decimal
places.)
Based on historical data, your manager believes that 29% of the company's orders come from first-time...
Based on historical data, your manager believes that 29% of the
company's orders come from first-time customers. A random sample of
52 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is greater than than 0.37?
Note: You should carefully round any z-values you calculate to 4
decimal places to match wamap's approach and calculations.
Based on historical data, your manager believes that 34% of the company's orders come from first-time...
Based on historical data, your manager believes that 34% of the
company's orders come from first-time customers. A random sample of
71 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is less than 0.32?
Note: You should carefully round any z-values you calculate to 4
decimal places to match wamap's approach and calculations.
Answer =0.3555 was wrong
B.Based on historical data, your manager believes that 32% of
the company's orders...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- In each of the following situations, develop a tentative plan for the client. List the various...
- MARGI sells different types of wine. Customers place orders to the most popular “Summer Wine” at...
- Java. If possible please put explanations for each line of code. Write a test program that...
- . Use the following information to calculate your company's expected return State Probability Return Boom 20%...
- You are considering the following two projects and can only take one. Your cost of capital...
- C++: Write a program that produces truth tables for the following compound propositions. Write the header...
- 1. What is the historical role of investment bankers ? Has this role changed ? Why...
ADVERTISEMENT