Use the data from the class survey for the number of calories in students’ favor
ID: 3318749 • Letter: U
Question
Use the data from the class survey for the number of calories in students’ favorite drinks to complete problems 1-2.
10, 0, 80, 250, 60, 0, 150, 125, 170, 220, 150, 0, 100, 180, 46, 170, 200, 420, 155, 140, 1.
1. Compute the following sample statistics and round to the nearest tenth:
a) Mean:
b) Median:
c) Standard deviation:
2. Using the class data, find the 95% confidence interval for the true mean calories found in drinks for students at UNC. Answer as a sentence rounding to the nearest tenth.
Explanation / Answer
(1)
median is middle observation of the distribution if arranged in ascending or descending order. here n=20, so 10th (140) and 11th (150) observation are in middle. so average of these will be median=(140+150)/2=145
standard deviaion=sd=sqrt((x-mean)2/n)=sqrt(199172.2/20)=99.79
following information has been generated using ms-excel
x is observation are arranged in ascending order
(2) (1-alpha)*100% confidence interval for population mean=sample mean±z(alpha/2)*sd/sqrt(n)
95% confidence interval for population mean=sample mean±z(0.05/2)*sd/sqrt(n)
(a) mean=sum/n= 2626/20=131.3 (b) median= 145 (c) standard deviation=sd= 99.79Related Questions
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