Read each problem carefully. Show your complete solution and present an illustration for each problem. 1. The average amount of money that a depositor of the Second National City Bank has in an account in $5000 with a standard deviation of $650. A random sample of 36 accounts is taken. What is the probability that the average amount of money that these 36 depositors have in their accounts is a. Between $4800 and $5300? b. Less than $ 4650 and Greater than $5250 c. Greater than $4900
Read each problem carefully. Show your complete solution and present
an illustration for each problem.
1. The average amount of money that a depositor of the Second National City
Bank has in an account in $5000 with a standard deviation of $650. A
random sample of 36 accounts is taken. What is the probability that the
average amount of money that these 36 depositors have in their accounts
is
a. Between $4800 and $5300?
b. Less than $ 4650 and Greater than $5250
c. Greater than $4900
2. The Smith Trucking Company claims that the average weight of its delivery
trucks when fully loaded is 6000 pounds with a standard deviation of 120
pounds. 36 trucks are selected at random and their weights recorded.
Within what limits will the average weights of 90% of the 36 trucks lie?
3. From a finite population consisting of digits 1, 4, 5, and 9, construct the
sampling distribution of the sample mean
a. With a
b. With sample size of
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