Question

A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 2.3 years, and standard
deviation of 0.6 years.

The 6% of items with the shortest lifespan will last less than how
many years?

Give your answer to one decimal place.

Answer #1

First of all, we need to use the standard normal table to see
what value if z will have 6% of the area (probability) to the left
of it OR use excel formula "**=NORM.S.INV(0.06)**" to
find the z-score.

We see that the z value is approximately z=-1.55.

Now, all we have to do is calculate the value of x that corresponds to the value of z. We have

Round the answer o one decimal place.

A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 10.3 years, and standard
deviation of 2.4 years. The 10% of items with the shortest lifespan
will last less than how many years? Give your answer to one decimal
place.

A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 14.3 years, and standard
deviation of 0.9 years. The 9% of items with the shortest lifespan
will last less than how many years? Give your answer to one decimal
place. Can you please explain written out each step

1. A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 7.5 years, and standard
deviation of 2 years. The 8% of items with the shortest lifespan
will last less than how many years? Give your answer to one decimal
place.
2. A particular fruit's weights are normally distributed, with a
mean of 796 grams and a standard deviation of 13 grams.
The heaviest 7% of fruits weigh more than how many grams? Give your...

1) A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 14.6 years, and standard
deviation of 4.8 years.
The 6% of items with the shortest lifespan will last less than how
many years?
Give your answer to one decimal place.
(if possible, can answer be displayed from excel)
2) A particular fruit's weights are normally distributed, with a
mean of 221 grams and a standard deviation of 12 grams.
The heaviest 6% of fruits...

A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 12 years, and standard
deviation of 0.7 years.The 3% of items with the shortest lifespan
will last less than how many years?
Asnwer = (Give your answer rounded to two decimal
places.)

A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 7.6 years, and standard
deviation of 2.1 years.
If 11 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.

A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 5 years, and standard
deviation of 0.7 years.
If 20 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.

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.

A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 11 years, and standard
deviation of 1.9 years.
The 4% of items with the shortest lifespan will last less than how
many years
show work

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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