Question

A manufacturer knows that their items have a normally distributed length, with a mean of 11.5 inches, and a standard deviation of 0.5 inches. If 19 items are chosen at random, what is the probability that their mean length is less than 11.2 inches?

Answer #1

Solution :

Given that ,

mean = = 11.5

standard deviation = = 0.5

= / n = 0.5 / 19 = 0.1147

P( < 11.2) = P(( - ) / < (11.2 - 11.5) / 0.1147)

P(z < -2.6155)

= 0.0045

Probability = **0.0045**

A manufacturer knows that their items have a normally
distributed length, with a mean of 12.4 inches, and standard
deviation of 2.1 inches.
If 21 items are chosen at random, what is the probability that
their mean length is less than 11.2 inches?
P(¯x<11.2)=P(x¯<11.2)=

1.)A manufacturer knows that their items have a normally
distributed length, with a mean of 12.9 inches, and standard
deviation of 1.1 inches.
If one item is chosen at random, what is the probability that it is
less than 14.9 inches long?
2.)A manufacturer knows that their items have a normally
distributed lifespan, with a mean of 5 years, and standard
deviation of 1.1 years.
If you randomly purchase one item, what is the probability it will
last longer than...

A manufacturer knows that their items have a normally
distributed length, with a mean of 16.7 inches, and standard
deviation of 0.8 inches.
If 19 items are chosen at random, what is the probability that
their mean length is less than 16.8 inches? Round your answer to 4
decimal places.

A manufacturer knows that their items have a normally
distributed length, with a mean of 12.2 inches, and standard
deviation of 3.7 inches.
If 7 items are chosen at random, what is the probability that their
mean length is less than 13.5 inches?

A manufacturer knows that their items have a normally
distributed length, with a mean of 11 inches, and standard
deviation of 2.2 inches. If 23 items are chosen at random, what is
the probability that their mean length is less than 11 inches?

A manufacturer knows that their items have a normally
distributed length, with a mean of 7.7 inches, and standard
deviation of 1.7 inches.
If 7 items are chosen at random, what is the probability that
their mean length is less than 9.2 inches?

A manufacturer knows that their items have a normally
distributed length, with a mean of 16.3 inches, and standard
deviation of 4.5 inches.
If 3 items are chosen at random, what is the probability that their
mean length is less than 15.1 inches?

QUESTION PART A: A manufacturer knows that their items have a
normally distributed length, with a mean of 8.9 inches, and
standard deviation of 0.6 inches.
If 16 items are chosen at random, what is the probability that
their mean length is less than 8.5 inches
QUESTION B: A manufacturer knows that their items have a
normally distributed lifespan, with a mean of 8.1 years, and
standard deviation of 1 years.
If you randomly purchase 19 items, what is the...

A manufacturer knows that their items have a normally
distributed length, with a mean of 9.2 inches, and standard
deviation of 2 inches. If 11 items are chosen at random, what is
the probability that their mean length is less than 9.9 inches?
round to 4 decimal places. & A manufacturer knows that their
items have a normally distributed lifespan, with a mean of 13.2
years, and standard deviation of 2.4 years. If you randomly
purchase 11 items, what is...

1)A manufacturer knows that their items have a normally
distributed length, with a mean of 13.8 inches, and standard
deviation of 3.7 inches.
If 9 items are chosen at random, what is the probability that their
mean length is less than 12.5 inches?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 12 minutes ago

asked 19 minutes ago

asked 24 minutes ago

asked 29 minutes ago

asked 29 minutes ago

asked 37 minutes ago

asked 43 minutes ago

asked 46 minutes ago

asked 46 minutes ago

asked 1 hour ago

asked 1 hour ago