Determine if the outcome is unusual. Consider as unusual any results that differs from the mean by more than 2 standard deviations. That is, unusual values are either less than μ- 2σ or greater than μ +2σ. According to AccuData Media Research, 36% of televisions within the Chicago city limits are tuned to "Eyewitness News" a 5:00 pm on Sunday nights. At 5:00 pm on a given Sunday, 2500 such televisions are randomly selected and checked to determine what is being watched. Would it be unusual to find that 919 of the 2500 televisions are turned to Eyewitness News? Yes or No and why?
Answer
given that p = 0.36
sample size is n = 2500
so, mean =n*p = 2500*0.36 = 900
and standard deviation = sqrt(n*p*(1-p))
= sqrt(2500*0.36*(1-0.36))
= 24
and unusual data is below and above 2 standard deviation
so, lower limit. = mean -2SD = 900-2(24) = 852
and upper limit = 900+2(24) = 948
therefore, 919 is not unusual because it is within 2 standard
deviation limit
Determine if the outcome is unusual. Consider as unusual any results that differs from the mean...
Determine if the outcome is unusual. Consider as unusual any result that differs from the mean by more than 2 standard deviations. That is, unusual values are either less than μ - 2σ or greater than μ + 2σ. The Acme Candy Company claims that 60% of the jawbreakers it produces weigh more than .4 ounces. Suppose that 800 jawbreakers are selected at random from the production lines. Would it be unusual for this sample of 800 to contain 423...