Homework Assignment #4.docx

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

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( 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

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( 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
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• Fall '17
• John doe
• Statistics, Dr. Rebecca Fang, S E x

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