88.2, Compute a monoxide concentration 28. A set of 10 determinations, by a meth the percentage of water in a methanol solution yiel .50, .55, .53, .56, .54, .57, .52, .60, .55, .58 Assuming normality, use these data to give a 95 percent confidence interval for 29. Suppose that U,, U2, .. is a sequence of independent uniform (0,1) random the actual percentage. variables, and define N by N = min{n : U1 +…+ Un > 1} That is, N is the number of uniform (0, 1) random variables that need to be summed to exceed 1. Use random numbers to determine the value of 36 random variables having the same distribution as N, and then use these data to obtain a 95 percent confidence interval estimate of E[N]. Based on this interval, guess the exact value of E[N]. 30. An important issue for a retailer is to decide when to reorder stock from a supplier. A common policy used to make the decision is of a type called s, S: The called S: The retailer orders at the end of a period if the on-hand stock is less than s, and orders enough to bring the stock up to S. The appropriate values of s and S denend on different cost parameters, such as inventory holding costs and the profit per irem sold, as well as the distribution of the demand during a period. Consequently. it is important for the retailer to collect data relating to the parameters of the demand distribution. Suppose that the following data give the numbers of a certain of item sold in each of 30 weeks. type 14, 8, 12, 9, 5, 22, 15, 12, 16, 7, 10,9, 15, 15, 12, 9, 11, 16, 8, 7, 15, 13, 9, 5, 18, 14, 10, 13,7, 11 Assuming that the numbers sold each week are independent random variables from a common distribution, use the data to obtain a 95 percent confidence interval for the mean number sold in a week. 31. A random sample of 16 professors at a large private university yielded a sample mean annual salary of $90,450 with a sample standard deviation of $9,400. Determine a 95 percent confidence interval of the average salary of all professors at that university.
88.2, Compute a monoxide concentration 28. A set of 10 determinations, by a meth the percentage of water in a methanol solution yiel .50, .55, .53, .56, .54, .57, .52, .60, .55, .58 Assuming normality, use these data to give a 95 percent confidence interval for 29. Suppose that U,, U2, .. is a sequence of independent uniform (0,1) random the actual percentage. variables, and define N by N = min{n : U1 +…+ Un > 1} That is, N is the number of uniform (0, 1) random variables that need to be summed to exceed 1. Use random numbers to determine the value of 36 random variables having the same distribution as N, and then use these data to obtain a 95 percent confidence interval estimate of E[N]. Based on this interval, guess the exact value of E[N]. 30. An important issue for a retailer is to decide when to reorder stock from a supplier. A common policy used to make the decision is of a type called s, S: The called S: The retailer orders at the end of a period if the on-hand stock is less than s, and orders enough to bring the stock up to S. The appropriate values of s and S denend on different cost parameters, such as inventory holding costs and the profit per irem sold, as well as the distribution of the demand during a period. Consequently. it is important for the retailer to collect data relating to the parameters of the demand distribution. Suppose that the following data give the numbers of a certain of item sold in each of 30 weeks. type 14, 8, 12, 9, 5, 22, 15, 12, 16, 7, 10,9, 15, 15, 12, 9, 11, 16, 8, 7, 15, 13, 9, 5, 18, 14, 10, 13,7, 11 Assuming that the numbers sold each week are independent random variables from a common distribution, use the data to obtain a 95 percent confidence interval for the mean number sold in a week. 31. A random sample of 16 professors at a large private university yielded a sample mean annual salary of $90,450 with a sample standard deviation of $9,400. Determine a 95 percent confidence interval of the average salary of all professors at that university.
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question
pbm 31
![88.2,
Compute a
monoxide concentration
28. A set of 10 determinations, by a meth
the percentage
of water in a methanol solution yiel
.50, .55, .53, .56, .54,
.57, .52, .60, .55, .58
Assuming normality, use these data to give a 95 percent confidence interval for
29. Suppose that U,, U2, .. is a sequence of independent uniform (0,1) random
the actual percentage.
variables, and define N by
N = min{n : U1 +…+ Un > 1}
That is, N is the number of uniform (0, 1) random variables that need to be
summed to exceed 1. Use random numbers to determine the value of 36 random
variables having the same distribution as N, and then use these data to obtain a
95 percent confidence interval estimate of E[N]. Based on this interval, guess the
exact value of E[N].
30. An important issue for a retailer is to decide when to reorder stock from a
supplier. A common policy used to make the decision is of a type called s, S: The
called
S: The
retailer orders at the end of a period if the on-hand stock is less than s, and orders
enough to bring the stock up to S. The appropriate values of s and S denend on
different cost parameters, such as inventory holding costs and the profit per irem
sold, as well as the distribution of the demand during a period. Consequently.
it is important for the retailer to collect data relating to the parameters of the
demand distribution. Suppose that the following data give the numbers of a
certain
of item sold in each of 30 weeks.
type
14, 8, 12, 9, 5, 22, 15, 12, 16, 7, 10,9, 15, 15, 12,
9, 11, 16, 8, 7, 15, 13, 9, 5, 18, 14, 10, 13,7, 11
Assuming that the numbers sold each week are independent random variables
from a common distribution, use the data to obtain a 95 percent confidence
interval for the mean number sold in a week.
31. A random sample of 16 professors at a large private university yielded a sample
mean annual salary of $90,450 with a sample standard deviation of $9,400.
Determine a 95 percent confidence interval of the average salary of all professors
at that university.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc75d2948-de5d-4252-902e-2fb229e41c51%2Fe2de1399-b203-4819-b678-d97ee0592485%2F1jd32pj.jpeg&w=3840&q=75)
Transcribed Image Text:88.2,
Compute a
monoxide concentration
28. A set of 10 determinations, by a meth
the percentage
of water in a methanol solution yiel
.50, .55, .53, .56, .54,
.57, .52, .60, .55, .58
Assuming normality, use these data to give a 95 percent confidence interval for
29. Suppose that U,, U2, .. is a sequence of independent uniform (0,1) random
the actual percentage.
variables, and define N by
N = min{n : U1 +…+ Un > 1}
That is, N is the number of uniform (0, 1) random variables that need to be
summed to exceed 1. Use random numbers to determine the value of 36 random
variables having the same distribution as N, and then use these data to obtain a
95 percent confidence interval estimate of E[N]. Based on this interval, guess the
exact value of E[N].
30. An important issue for a retailer is to decide when to reorder stock from a
supplier. A common policy used to make the decision is of a type called s, S: The
called
S: The
retailer orders at the end of a period if the on-hand stock is less than s, and orders
enough to bring the stock up to S. The appropriate values of s and S denend on
different cost parameters, such as inventory holding costs and the profit per irem
sold, as well as the distribution of the demand during a period. Consequently.
it is important for the retailer to collect data relating to the parameters of the
demand distribution. Suppose that the following data give the numbers of a
certain
of item sold in each of 30 weeks.
type
14, 8, 12, 9, 5, 22, 15, 12, 16, 7, 10,9, 15, 15, 12,
9, 11, 16, 8, 7, 15, 13, 9, 5, 18, 14, 10, 13,7, 11
Assuming that the numbers sold each week are independent random variables
from a common distribution, use the data to obtain a 95 percent confidence
interval for the mean number sold in a week.
31. A random sample of 16 professors at a large private university yielded a sample
mean annual salary of $90,450 with a sample standard deviation of $9,400.
Determine a 95 percent confidence interval of the average salary of all professors
at that university.
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