Given a data set find various probabilities and construct confidence intervals.

The average weekly earnings for women in managerial and professional positions is $685 with a standard deviation of $45. Salaries are normally distributed. Answer the following questions.

a. What is the probability that a woman will have a weekly salary of more than $650?
b. What is the probability that a woman will have a weekly salary of at least $800?
c. For the population, in what range does the middle 95% of weekly salaries lie?
d. If a new sample of 40 women is selected, what is the probability that the mean weekly salary will be between $670 and $705?
e. If new samples of 50 families are selected, what weekly salary to the nearest dollar marks the top 10% of the means of these new samples?
f. If new samples of 100 women are selected, what range of weekly salaries to the nearest dollar marks the 98% confidence interval?

Solution Summary

The following outlines the process of computing various probabilities associated with a particular distribution. Confidence intervals are constructed as well.

We will be constructing confidence intervals for the proportion of each color as well as the mean number of candies per bag.
Construct a 95% Confidence Interval for the proportion of blue M&Ms® candies.
Construct a 95% Confidence Interval for the proportion of orange M&Ms® candies.
Construct a 95% Confidence Interva

See the data in the attached file and answer the following questions.
Question 1
Construct a 95% confidence interval for an average value of y given that x = 4. Remember the format is (x.xx, x.xx)
Question 2
Construct a 95% prediction interval for y given that x = 4.

We will be constructing confidence intervals for the proportion of each color as well as the mean number of candies per bag. Use the methods of 6.3 for the proportions and 6.1 for the mean.
If calculating by hand, be sure to keep at least 4-6 decimal places for the sample proportions to eliminate large rounding errors.

50. Use the following information to construct the confidence intervals specified to estimate µ
a) 95% confidence; = 25, σ2 = 12.25, and n = 60.
b) 98% confidence; = 119.6, S2 = 570.7321, and n = 75.
c) 90% confidence; ∑X = 1814.4, σ2 = 0.948676, and n = 32.
51. A sample of size n = 10 is randomly sel

A sample of 144 cans of coffee showed an average weight of 16 ounces. The standard deviation of the population is known to be 1.4 ounces.
a. Construct a 68.26% confidence interval for the mean of the population.
b. Construct a 97% confidence interval for the mean of the population.

Please see attachment for data.
1. To find the confidence interval for the true mean of the "price in $000" of all the employees in the bank, should the z-score or t-score be used?if so why?
2. Find a 95% and a 99% confidence level for "price in $000" and "age" respectively using all the 80 datagiven that the population v

See the attached file.
Please help in setting up and solving the problem given below. The problem with necessary data is fully set up in the attached Excel document.
INSTRUCTION: Include a "summary statement" for each CI.
Use the data for which is given in columns A:C.
FACTS / PROBLEM:
USE EXCEL AND EXCEL FUNCTIONS

Please help with the following problems.
1. For df = 25, determine the value of A that corresponds to each of the following probabilities:
a.P(t > A) = 0.25
b. P( < A) = 0.10
c. P(-A < t < A) = .99
2. Given the following observations in a simple random sample from a population that is approximately normally distrib