Which of the following are true statements? The area under the standard normal c

Question

Which of the following are true statements? The area under the standard normal curve between 0 and 2 is twice the area between 0 and 1. The area under the standard normal curve between 0 and 2 is half area between -2 and 2. The smaller the standard deviation of a normal curve, the higher and narrower the graph 1 only 1 and 3 2 only 2 and 3 1, 2, and 3 If 46% of all families spend less than $100 weekly for food while 28% spend more than $130, what is the mean weekly expenditure and what is the standard deviation? Mu = 83.33, sigma = 12.44 mu = 56.26 sigma - 11.85 mu = 118.52, sigma = 56.26 mu = 104.39, sigma = 43.86 mu = 139.45, sigma = 83.33

Explanation / Answer

1)2 and 3 are correct

8)here let mean =x and std deviation =y

for 46 percentile , zscore =-0.10043

hence x-0.10043y=100

also for 28% higher, for 72 percentile z score =0.58284

hence x+0.58284y=130

solving above two equations

mean =x=104.39 ; std deviation =y=43.86

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