Question

The weights of bags of baby carrots are normally​ distributed, with a mean of 2929 ounces and a standard deviation of 0.330.33 ounce. bags in the upper​ 4.5% are too heavy and must be repackaged. what is the most a bag of baby carrots can weigh and not need to be​ repackaged?

Answer 1

Mean is in ounces = 32 Standard Deviation in Ounces = 0.36 Cumulative percentage = 100 – 4.5% = 95.5% Now, Z Value = 1.695398 X Value = 32.61034 So P(x>=?) = 0.45 is similar to P(x <=?) = 0.955 So looking at the area as 0.955 and use x = mu + z*sigma X = 36 + 1.695*0.36 Weight of the bag that baby carrots cannot weigh over 32.61034 oz.