A sample of 45 small generators produce fumes that was observed to be 700 ppm with a standard deviation of 165. a) Calculate and interpret 95% two-sided confidence interval for true average amount of fumes for a population of all similar generatorsb) Assume the intial observations were based on an initial estimate of 170 for the value of the sample standard deviation. What is the necessary sample size that would result in an interval width of 40 ppm for a confidence level of 95% Show all work

Question
Asked Nov 9, 2019

A sample of 45 small generators produce fumes that was observed to be 700 ppm with a standard deviation of 165. 
a) Calculate and interpret 95% two-sided confidence interval for true average amount of fumes for a population of all similar generators
b) Assume the intial observations were based on an initial estimate of 170 for the value of the sample standard deviation. What is the necessary sample size that would result in an interval width of 40 ppm for a confidence level of 95%

 

Show all work

check_circleExpert Solution
Step 1

(a)

The 95% confidence interval for true average amount of fumes for a population of all similar generators is obtained as follows:

Samplestatistic+ ME =xt *
165
For 95% confidence z* is 1.96
45
=700t1.96x
= 700 t 48.20
(651.8,748.2)
help_outline

Image Transcriptionclose

Samplestatistic+ ME =xt * 165 For 95% confidence z* is 1.96 45 =700t1.96x = 700 t 48.20 (651.8,748.2)

fullscreen
Step 2

Thus, the 95% confidence interval for true average amount of fumes for a population of all similar generators is (651.8, 748.2).

Interpretation:

There is 95% confidence that the true a...

(1.96(170)
40
69.4
70
help_outline

Image Transcriptionclose

(1.96(170) 40 69.4 70

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: The supreme choice pizza at Pete's Pizza contains 3 different types of meat and 2 different vegetabl...

A: It is given that a supreme choice pizza at Pete’s Pizza contains 3 different types of meat and 2 dif...

question_answer

Q: Test the given claim using the P-value method of hypothesis testing.   The health of employees is mo...

A: Introduction:Denote μ as the true mean weight of the population, from which, the sample of 54 is obt...

question_answer

Q: Problem in photo

A: Solution:The hypotheses are stated below:Null hypothesis:There is no association between alcohol con...

question_answer

Q: Consider the following data: x −4 −3 −2 −1 0 P(X=x) 0.1 0.1 0.1 0.3 0.4   Find the e...

A: Given Data and calculation for the Expected value is shown below

question_answer

Q: HW 8.3 X W HW 8.3- Math 210, section A X webassign.net/web/Student/Assignment-Responses/submit?pos 0...

A: Given:Confidence level = 0.90Z for 90% confidence level = 1.645 …using z-tableMargin of error = E = ...

question_answer

Q: I don't understand how to use binomial formulas to solve this problem

A: Given dataHypothesized proportion (p) = 0.7

question_answer

Q: 2. In your classroom you have a box with 100 small square tiles in it. The tiles are identical excep...

A: a. Two “read the data” questions for the dot plot can be,Question 1. What is the maximum number of y...

question_answer

Q: Suppose that a brand of lightbulb lasts on average 1758 hours with a standard deviation of 191 hours...

A: It is given that a brand of lightbulb lasts on average is 1758 hours with a standard deviation of 19...

question_answer

Q: What are the assumptions underlying the repeated-measures ANOVA

A: Repeated measures ANOVA:Repeated measures ANOVA is a belongs to the family of ANOVA. The repeated me...