1. For problems involving a confidence interval for the mean you need to show the following in this order. The values of: The margin of error. This will need to be calculated by you by taking the...

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1. For problems involving a confidence interval for the mean you need to show the following in this order.


The values of:


The margin of error. This will need to be calculated by you by taking the upper limit of the interval minus the sample mean


The confidence interval statement. Make sure to write a complete statement.


2. For problems involving a confidence interval for the proportion you need to show the following in this order.


The values of . You will need to calculate (See the formula on slide 42)


The margin of error.This will also need to be calculated by you by taking the upper limit minus the sample proportion.


The confidence interval statement. Write a complete sentence.


Failure to write your assignment using this format and proper notation will result in the reduction of your grade. If you are using Word to prepare your assignment make sure that you use the Equation Editor to enter in your symbols.




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Probability and Statistics Homework #8 The head of the hospital maternity ward wants to estimate the average number of days a patient stays in the ward. A random sample of 100 patients showed the average stay to be 5.2 days. Using the population standard deviation of 1.9 days find the 90% confidence interval for the mean number of days a patient stays in the ward. (8 points) A random sample of 40 employee benefit packages showed that the average deductible in the employee health insurance plan was $200 with standard deviation $30. Find the 95% confidence interval for the average deductible on employee health insurance plans. (8 points) The data below represents the weight of a bag of salted peanuts (in ounces). 15.417.216.016.315.814.917.216.516.816.417.017.316.116.315.916.5 Create a 99% confidence interval for the true population mean weight of a bag of salted peanuts. (8 points) Carla is a realtor in a large metropolitan area. She would like to estimate the probability that a house will sell within one month of listing. From a random sample of 524 houses she found that 350 had sold within one month of listing. Create a 90% confidence interval for the proportion of houses that sell within one month of listing. (8 points) A survey was given to 200 high school students asking their view on the start of the school day. The results of this survey are below. Like starting before 8 a.m.Would like school to start after 8 a.m.UndecidedNumber of students7211612 Create a 99% confidence interval for the proportion of all high school students that prefer school to start after 8 a.m. (8 points) Create a 90% confidence interval for the proportion of all high school students that prefer school to start after 8 a.m. (8 points) Which interval is wider, the 90% confidence interval or the 99% confidence interval? Why do you...



Answered Same DayDec 26, 2021

Answer To: 1. For problems involving a confidence interval for the mean you need to show the following in this...

David answered on Dec 26 2021
116 Votes
Probability and Statistics
1
Question 1
Sample mean ̅
Standard deviation of population
Sample
value
would be used because sample size is higher than 30 and population’s standard
deviation is known
value for 90% confidence interval = 1.64
90% confidence interval = ̅ √
Upper limit of 90% confidence interval = √ = 5.5 days
Lower limit of 90% confidence interval = √ = 4.9 days
Marginal of error = days
It can be stated with 90% confidence that the mean days of patient stays would lie between
4.9 days and 5.5 days.
Question 2
Sample mean ̅
Standard deviation of sample
Sample
Sample’s standard deviation is given and thus, value would be used.
Degree of freedom =
95% confidence interval = ̅ √
Upper limit of 95% confidence interval = (


)
Lower limit of 95% confidence interval = (


)
Marginal of error =
It can be sated with 95% confidence that the mean deductible amount of employee health
insurance plan would lie between and
Probability and Statistics
2
Question3
Weight of bag of salted peanuts (in ounces)
15.4 17.2 16.0 16.3 15.8 14.9 17.2 16.5
16.8 16.4 17.0 17.3 16.1 16.3 15.9 16.5

̅ ̅
...
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