Question

Weights of chocolate chip bags follow an approximately normal distribution with mean 11.16 ounces and a...

Weights of chocolate chip bags follow an approximately normal distribution with mean 11.16 ounces and a standard deviation of .15 ounce. Use this information to answer the next two questions:(use stat-crunch)

2. One bag of chocolate chips weighed 1.55 standard deviation above average. What proportion of bags weighs more than this bag? (4 decimal places)


3. The lightest 10% of chocolate chip bags weigh less than how many ounces? (3 decimal places)

Homework Answers

Answer #1

Solution :

2)

Given that ,

mean = = 11.16

standard deviation = = 0.15

P(9.61 < x < 12.71) = P((9.61 - 11.16)/ 0.15) < (x - ) /  < (12.71 - 11.16) / 0.15) )

= 1-( P(-10.33 < z < 10.33) )

= 1 - ( P(z < 10.33) - P(z < -10.33))

= 1 - ( 1 - 0 )

= 1 - 1

= 0

Percentage = 0

3)

P(Z < z ) = 10%

P(Z < z ) = 0.10

P(Z < -1.282) = 0.10

z = -1.282

using z-score formula,

X = z* +

= -1.282* 0.15 + 11.16

= 10.968

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