menu
bartleby
search
close search
Hit Return to see all results

A recent study showed that the modern working person experiences an average of 2.1 hours per day of distractions( phone calls, e-mails, impromptu visits,etc.).  A random sample of 50 workers for a large corporation found that these workers were distracted an average of 1.8 hours per day and the population standard deviation was 20 minutes.  Estimate the true mean population distraction time with 90% confidence, and compare your answer to the results of the study

Question

A recent study showed that the modern working person experiences an average of 2.1 hours per day of distractions( phone calls, e-mails, impromptu visits,etc.).  A random sample of 50 workers for a large corporation found that these workers were distracted an average of 1.8 hours per day and the population standard deviation was 20 minutes.  Estimate the true mean population distraction time with 90% confidence, and compare your answer to the results of the study

check_circleAnswer
Step 1

Confidence interval:

The (1-α) % confidence interval for population mean µ, when σ is known is given by:

2 Vn
2 Vn
2 Vn
바투
바를 이들
help_outline

Image Transcriptionclose

2 Vn 2 Vn 2 Vn 바투 바를 이들

fullscreen
Step 2

Computing the confidence interval for population mean:

A random sample of 50 workers for a large corporation fund that the workers were distracted an average of 1.8 hours per day and population standard deviation was 20 minutes (=20/60 hours). That is, n=50, x-bar = 1.8 and σ = 20/60.That is, the confidence level is 90%. Therefore, the significance level, α = 0.10.

From the EXCEL, using the formula, = NORM.INV(0.95,0,1), the critical value is 1.645.

Therefore the 90% confidence interval of the mean when the standard deviation is known is,

20
.=1.8±1.645×원
n
50
2 Vn
(1.8+0.0775)
(1.7225,1.8775)
als
help_outline

Image Transcriptionclose

20 .=1.8±1.645×원 n 50 2 Vn (1.8+0.0775) (1.7225,1.8775) als

fullscreen
Step 3

The 90% confidence interval for the true mean population distraction time is (1.7225,1.8775).

 

The recent study showed  that the modern working person experiences an av...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Total plasma volume is important in determining the required plasma component in blood replacement t...

A: Hello there! there are more than 3  sub parts in question. It is against our policies to solve more ...

question_answer

Q: . For two factors-starchy or sugary, and green base leaf or white base leaf-the following counts for...

A: Introduction:Denote X1, X2, X3 and X4 as the counts for the progeny of self-fertilized heterozygotes...

question_answer

Q: Select the statistic test that best fits each description. Study examining how much of the variation...

A: Regression:Regression analysis explains whether two variables are related or not and correlation exp...

question_answer

Q: How do I find A’ , Is It B,D and F ?

A: Given U = {a,b,c,d,e,f,g}A = {a,c,e,g}B = {a,b,c,d}A' is nothing but compliment of the set A which h...

question_answer

Q: Jane has stored three albums on her iPod. The first album consists of 11 songs by Frank Sinatra, the...

A: According to the given question, Jane has stored three albums on her iPod.The first album consists o...

question_answer

Q: Is the national crime rate really going down? Some sociologists say yes! They say that the reason fo...

A: 1) Computation of test statistic:Here, the appropriate test to check whether the population proporti...

question_answer

Q: Consider a drug that is used to help prevent blood clots in certain patients. In clinical trials, am...

A: Test statistic calculation:The test hypotheses are:Null hypothesis:H0: p = 0.03, that is, 3% in the ...

question_answer

Q: Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal acci...

A: Solution:(a) Draw a scatter diagram displaying the data. 

question_answer

Q: In a normal distribution with mean 3 and variance 49, what are the upper and lower limit scores for ...

A: The given information is that the scores distributed normally with mean 3 and variance is 49. The st...

Sorry about that. What wasn’t helpful?