The acceptable level for in food tem is 5insect fragments eggs, body parts, and
ID: 3219521 • Letter: T
Question
The acceptable level for in food tem is 5insect fragments eggs, body parts, and so on) per 10 grams A simplo random sample of 40 ten gram portons of the food obtained and results in a sample mean ot x-5 insect tragments per ten-gram portion Complete parts (a) through (e) below (a) Why is the sampling dstribution of x approximately normal? O A. The sampling distribution ofxis approximately normal because the population is normally distributed the sample size is large enough O B. The samping distrbution of xis approximately normal because the population is normally distributodand O C. The sampling distribution of assumed to be approximately normal sizo is large enough Xis sample O D. The sampling distribution of i is approximately normal because the (b) What is the mean and standard deviation of the sampling dstribution ofx assuming n 5 and o V5? w (Round to three doomal places as needed) (Round three deomal places as needed) Click to select your answer(s)Explanation / Answer
a)option D
b)mean =5
std deviation =(5/40)1/2 =0.3536
c)P(X>5.4)=1-P(Z<(5.4-5)/0.3536)=1-P(Z<1.1314)=1-0.8711=0.1289
option A) the result is not unusual
option B) since the result is not unusual..
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