Question
In: Statistics and Probability
Suppose x represents the dollar amount spent on supermarket impulse buying (in the checkout line). Based...
Suppose x represents the dollar amount spent on supermarket impulse buying (in the checkout line). Based on a certain article, the population mean is µ = $32 and the standard deviation is about σ = $8.
a) Considering that we have a random sample of n = 90 customers, who have done some impulse buying at the supermarket. From the Central Limit Theorem, what can you say about the ¯x distribution.
b) What is µx¯?
c) Find the standard deviation of the sample mean, σx¯.
d) What is the probability that ¯x is less than $30?
e) What is the probability that ¯x is more than $33?
Solutions
Expert Solution
Solution :
Given that ,
mean = 
= 32
standard deviation = 
= 8
n = 90
a) The sampling distribution of 
is approximately normal,
b) 
=
= 32
c) 
=
/ 
n = 8 /
90 = 0.843
d) P( < 30) = P((
-
) /
< (30 - 32) / 0.843 )
= P(z < -2.37)
Using z table
= 0.0089
e) P(
> 33) = 1 - P(
< 33)
= 1 - P[(
-
) /
< (33 - 32) / 0.843 ]
= 1 - P(z < 1.19)
Using z table,
= 1 - 0.8830
= 0.1170
orchestra answered 2 years agoRelated Solutions
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping...
Let x represent the dollar amount spent on supermarket
impulse buying in a 10-minute (unplanned) shopping interval. Based
on a certain article, the mean of the x distribution is
about $31 and the estimated standard deviation is about $9.
1. Consider a random sample of n = 80 customers, each
of whom has 10 minutes of unplanned shopping time in a supermarket.
From the central limit theorem, what can you say about the
probability distribution of x, the average amount...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping...
Let x represent the dollar amount spent on supermarket impulse
buying in a 10-minute (unplanned) shopping interval. Based on a
certain article, the mean of the x distribution is about $18 and
the estimated standard deviation is about $9. (a) Consider a random
sample of n = 70 customers, each of whom has 10 minutes of
unplanned shopping time in a supermarket. From the central limit
theorem, what can you say about the probability distribution of x,
the average amount...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping...
Let x represent the dollar amount spent on supermarket
impulse buying in a 10-minute (unplanned) shopping interval. Based
on a certain article, the mean of the x distribution is
about $45 and the estimated standard deviation is about $6.
(a) Consider a random sample of n = 50 customers, each
of whom has 10 minutes of unplanned shopping time in a supermarket.
From the central limit theorem, what can you say about the
probability distribution of x, the average amount...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping...
Let x represent the dollar amount spent on supermarket
impulse buying in a 10-minute (unplanned) shopping interval. Based
on a certain article, the mean of the x distribution is
about $31 and the estimated standard deviation is about $6.
(a) Consider a random sample of n = 40 customers, each
of whom has 10 minutes of unplanned shopping time in a supermarket.
From the central limit theorem, what can you say about the
probability distribution of x, the average amount...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping...
Let x represent the dollar amount spent on supermarket
impulse buying in a 10-minute (unplanned) shopping interval. Based
on a certain article, the mean of the x distribution is
about $11 and the estimated standard deviation is about $9.
(a) Consider a random sample of n = 120 customers, each
of whom has 10 minutes of unplanned shopping time in a supermarket.
From the central limit theorem, what can you say about the
probability distribution of x, the average amount...
36) Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned)...
36) Let x represent the dollar amount spent on supermarket
impulse buying in a 10-minute (unplanned) shopping interval. Based
on a certain article, the mean of the x distribution is about $32
and the estimated standard deviation is about $7. (a) Consider a
random sample of n = 50 customers, each of whom has 10 minutes of
unplanned shopping time in a supermarket. From the central limit
theorem, what can you say about the probability distribution of x,
the average...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping...
Let x represent the dollar amount spent on supermarket
impulse buying in a 10-minute (unplanned) shopping interval. Based
on a certain article, the mean of the x distribution is
about $45 and the estimated standard deviation is about $7.
(a) Consider a random sample of n = 60 customers, each
of whom has 10 minutes of unplanned shopping time in a supermarket.
From the central limit theorem, what can you say about the
probability distribution of x, the average amount...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping...
Let x represent the dollar amount spent on supermarket
impulse buying in a 10-minute (unplanned) shopping interval. Based
on a certain article, the mean of the x distribution is
about $38 and the estimated standard deviation is about $5.
(a) Consider a random sample of n = 40 customers, each
of whom has 10 minutes of unplanned shopping time in a supermarket.
From the central limit theorem, what can you say about the
probability distribution of x, the average amount...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping...
Let x represent the dollar amount spent on supermarket
impulse buying in a 10-minute (unplanned) shopping interval. Based
on a certain article, the mean of the x distribution is
about $20 and the estimated standard deviation is about $7.
(a) Consider a random sample of n = 70 customers, each
of whom has 10 minutes of unplanned shopping time in a supermarket.
From the central limit theorem, what can you say about the
probability distribution of x, the average amount...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping...
Let x represent the dollar amount spent on
supermarket impulse buying in a 10-minute (unplanned) shopping
interval. Based on a certain article, the mean of the x
distribution is about $38 and the estimated standard deviation is
about $5.
(a) Consider a random sample of n = 40
customers, each of whom has 10 minutes of unplanned shopping time
in a supermarket. From the central limit theorem, what can you say
about the probability distribution of x, the average amount...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Question 1. What aspects of Michelangelo’s David (1501-1504) are characteristic of Italian Renaissance art? Question 2....
- I cant not seem to get this right. I have tried and tried can I please...
- By using Java language, Complete the StackArray.java by using.stackArrayDemo.java. 1.Read the StackArrayDemo.java. 2. Use the demo...
- Regardless of the legal issues, do you feel it is fair for an employer to require...
- An investor believes that there will be a big jump in a stock price, but is...
- What experiences have you had with adaptation? Have you experienced culture shock and “return” culture shock?
- C language only please and please make a simple code Write a function that will find...
ADVERTISEMENT