Question

In: Math

graduate student wants to estimate the number of research participants he will see in the fall...

graduate student wants to estimate the number of research participants he will see in the fall semester. Using his data from the previous nine semesters, he tabulates a mean of 140 students per semester, although departmental records reflect a seasonal variation (i.e., population standard deviation) of 45 students. Calculate the 99% confidence interval.

Solutions

Expert Solution

Solution :

Given that,

= 140

= 45

n = 9

At 99% confidence level the z is ,

  = 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z/2 = Z0.005 = 2.576

Margin of error = E = Z/2* ( /n)

= 2.576 * (45 / 9)

= 38.64

At 99% confidence interval estimate of the population mean is,

- E < < + E

140 - 38.64 < < 140 + 38.64

101.36 < < 178.64

(101.36 , 178.64)

milcah answered 1 month ago
Next > < Previous

Related Solutions

Paul wants to estimate the mean number of siblings for each student in his school. He...
Paul wants to estimate the mean number of siblings for each student in his school. He records the number of siblings for each of 100 randomly selected students in the school. What is the parameter? Select the correct answer below: all the students in the school the 100 randomly selected students the specific number of siblings for each randomly selected student the mean number of siblings for all students in the school the mean number of siblings for the randomly...
A student wants to see if the weight of a paperback book and the number of...
A student wants to see if the weight of a paperback book and the number of pages in the book are related. She guesses that the weight of the book will be a predictor of the number of pages it has. She randomly sampled 14 books from the library, test her claim at a 0.05 level of significance. weight in ounces number of pages 18 99 12 49 8 102 47 143 20 84 3 54 33 113 9 43...
A student wants to see if the weight of a paperback book and the number of...
A student wants to see if the weight of a paperback book and the number of pages in the book are related. She guesses that the weight of the book will be a predictor of the number of pages it has. She randomly sampled 15 books from the library, test her claim at a 0.05 level of significance. weight in ounces number of pages 41 83 15 102 38 94 7 75 34 128 14 70 26 94 18 90...
(a). A college student is 23 years old and a recent graduate. He wants to start...
(a). A college student is 23 years old and a recent graduate. He wants to start saving for his retirement. He plans to save $2000 per year in an online stock account that pays annual return of 12%. If he sticks to the plan, how much money will he have at the age of 65? (make a time-line). (b). Suppose he starts saving for the retirement at the age of 40. If he uses the same plan above, how much...
An educator wants to see how the number of absences for a student in her class...
An educator wants to see how the number of absences for a student in her class affects the student’s final grade. The data obtained from a sample are shown. No. of absences x 10 12 2 0 8 5 Final grade y 70 65 96 94 75 82 Based on the above data, answer the following questions with the appropriate rounding. Use complete sentences to answer questions. Find r Characterize r Find r2 Interpret r2 Find the least square regression...
A student wants to see if the number of times a book has been checked out...
A student wants to see if the number of times a book has been checked out of the library in the past year and the number of pages in the book are related. She guesses that the number of times a book has been checked out of the library in the past year will be a predictor of the number of pages it has. She randomly sampled 14 books from the library, test her claim at a 0.10 level of...
A student wants to see if the number of times a book has been checked out...
A student wants to see if the number of times a book has been checked out of the library in the past year and the number of pages in the book are related. She guesses that the number of times a book has been checked out of the library in the past year will be a predictor of the number of pages it has. She randomly sampled 15 books from the library, test her claim at a 0.01 level of...
A student wants to see if the number of times a book has been checked out...
A student wants to see if the number of times a book has been checked out of the library in the past year and the number of pages in the book are related. She guesses that the number of times a book has been checked out of the library in the past year will be a predictor of the number of pages it has. She randomly sampled 15 books from the library, test her claim at a 0.01 level of...
A student wants to see if the number of times a book has been checked out...
A student wants to see if the number of times a book has been checked out of the library in the past year and the number of pages in the book are related. She guesses that the number of times a book has been checked out of the library in the past year will be a predictor of the number of pages it has. She randomly sampled 14 books from the library, test her claim at a 0.05 level of...
A student wants to see if the number of times a book has been checked out...
A student wants to see if the number of times a book has been checked out of the library in the past year and the number of pages in the book are related. She guesses that the number of times a book has been checked out of the library in the past year will be a predictor of the number of pages it has. She randomly sampled 10 books from the library, test her claim at a 0.01 level of...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT