5. O-/6 points IlowskylntroStati 8.PR.058. My Notes o Ask Your Teacher The data

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5. O-/6 points IlowskylntroStati 8.PR.058. My Notes o Ask Your Teacher The data in the table below are the result of a random survey of 39 national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let X = the number of colors on a national flag. Freq. 18 7. 4 Construct a 95% confidence interval for the true mean number of colors on national flags. Fill in the blanks on the graph with the areas, the upper and lower limits of the Confidence Interval and the sample mean. (Round your answers to two decimal places.) CL = Submit Answer Save Progress

Explanation / Answer

Solution:-

=> mean = 3.2562 = 3.26 by using online calucaltion

sd = 1.0057 = 1.01

n = 39

=> 95% confidence interval :- X +/- t*sd/sqrt(n)

df = n - 1 = 38

t(0.025 , 38) = 2.024

=> 3.26 +/- 2.024 * (1.01/sqrt(39))

= (2.93 , 3.59)

=> lower limit = 2.93

upper limt = 3.59

error = 0.33

midpoint = 3.26

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