Question

A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 7.5 years, and standard
deviation of 1.2 years.

If 9 items are picked at random, 6% of the time their mean life
will be less than how many years?

Give your answer to one decimal place.

Answer #1

Given that,

mean = = 7.5

standard deviation = = 1.2

n = 9

= 7.5

= / n = 1.2/9=0.4

Using standard normal table,

P(Z < z) = 6%

= P(Z < z) = 0.06

= P(Z <-1.56)=0.06

Using z-score formula

= z * +

= -1.56*0.4+7.5

= 6.9

A manufacturer knows that their items have a normally
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A manufacturer knows that their items have a normally
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If 11 items are picked at random, 6% of the time their mean life
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Give your answer to one decimal place.

A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 5 years, and standard
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If 20 items are picked at random, 6% of the time their mean life
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Give your answer to one decimal place.

A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 3.2 years, and standard
deviation of 0.7 years. If 12 items are picked at random, 10% of
the time their mean life will be less than how many years? Give
your answer to one decimal place.

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Give your answer to one decimal place.

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QUESTION PART A: A manufacturer knows that their items have a
normally distributed lifespan, with a mean of 6.6 years, and
standard deviation of 0.8 years.
If 22 items are picked at random, 6% of the time their mean life
will be less than how many years?
Give your answer to one decimal place.
QUESTION PART B: A particular fruit's weights are normally
distributed, with a mean of 679 grams and a standard deviation of
19 grams.
If you pick...

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