B the estimate in part a is not likely be equal to

This preview shows page 1 - 2 out of 2 pages.

( B ) The estimate in part (a) is NOT likely be equal to the population parameter . This estimate was solely based on the above data [the sample] and NOT the entire population . The data above is referred to as a statistic, whereas the entire population data is referred to as a parameter. The sample mean (a statistic) will differ from the population mean (a parameter) due to chance . ( C ) The calculation for the standard error is as followed: S E ´ x = s n ; S E ´ x = 10.9945 39 ; S E ´ x = 1.9 ms ; therefore, the standard error is 1.9 ms . This value was also confirmed with RStudio . Page 1 Assignment #4 Details : Page(s): 108 Number(s): #7(P) (P) – Practice Problem; (A) – Assignment Problem
Image of page 1

Subscribe to view the full document.

( D ) The quantity in part (c), that is, the standard error of the sample mean, represents an estimation for the spread of the sampling distribution of the sample mean . ( E ) The calculation for the rough 95% confidence interval is as followed: ´ Y S E ´ Y = 95.94 ( 2 x 1.9 ) = 92.14 ´ Y + S E ´ Y = 95.94 + ( 2 x 1.9 ) = 99.74 Therefore, the confidence interval between 92.14 to 99.74 or 92.14 < μ < 99.74 ( F ) The interval calculated in part (e) is called the confidence interval ; this is a range of numerical values that is likely to contain the value of the target population parameter . In this case , the value i.e. population mean [denoted by μ ] is likely to be in this range [92.14 to 99.74] . Furthermore, this value is calculated from the data gathered and extends above and below the sample estimate in this case 95.94 [denoted by ´ Y ] . The confidence interval can be calculated for the following: means, proportions, correlations, differences between means, as well as other population parameters (Whitlock and Schluter). [ END OF ASSIGNMENT 4 ] Page 2
Image of page 2
You've reached the end of this preview.
  • Fall '17
  • John doe
  • Statistics, Dr. Rebecca Fang, S E x

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern