Question

A study was made of seat belt use among children who were involved in car crashes that caused them to be hospitalized. It was found that children not wearing any restraints had hospital stays with a mean of 7.37 days and a standard deviation of 1.50 days with an approximately normal distribution.

(a) Find the probability that their hospital stay is from 5 to 6 days, rounded to five decimal places.

(b) Find the probability that their hospital stay is greater than 6 days, rounded to five decimal places.

Answer #1

Here it is given that distribution is normal with mean=7.37 and standard deviation is 1.50

a. Here we need to find

As distribution is normal we can convert x to z

b. Here we need to find

Hence are the correct answers.

A study was made of seat belt use among children who were
involved in car crashes that caused them to be hospitalized. It was
found that children not wearing any restraints had hospital stays
with a mean of 7.37 days and a standard deviation of 2.75 days with
an approximately normal distribution.
(a) Find the probability that their hospital stay is from 5 to 6
days, rounded to five decimal places.
(b) Find the probability that their hospital stay is...

A study was made of seat belt use among children who were
involved in car crashes that caused them to be hospitalized. It was
found that children not wearing any restraints had hospital stays
with a mean of 7.37 days and a standard deviation of 2 days with an
approximately normal distribution. (a) Find the probability that
their hospital stay is from 5 to 6 days, rounded to five decimal
places. (b) Find the probability that their hospital stay is...

6) A study was made of seat belt use among children who were
involved in car crashes that caused them to be hospitalized. It was
found that children not wearing any restraints had hospital stays
with a mean of 7.37 days and a standard deviation of 1.25 days with
an approximately normal distribution. (a) Find the probability that
their hospital stay is from 5 to 6 days, rounded to five decimal
places. (b) Find the probability that their hospital stay...

A study was made of seat belt use among children who were
involved in car crashes that caused them to be hospitalized. It was
found that children not wearing any restraints had hospital stays
with a mean of 7.37 days and a standard deviation of 3 days with an
approximately normal distribution.
(a) Find the probability that their hospital stay is from 5 to 6
days, rounded to five decimal places.
(b) Find the probability that their hospital stay is...

A study was made of seat belt use among children who were
involved in car crashes that caused them to be hospitalized. It was
found that children not wearing any restraints had hospital stays
with a mean of 7.37 days and a standard deviation of 3 days with an
approximately normal distribution.
(a) Find the probability that their hospital stay is from 5 to 6
days, rounded to five decimal places.
(b) Find the probability that their hospital stay is...

A study of seat belt use involved children who were hospitalized
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wearing seat belts, the number of days in intensive care units
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group of 290 children who were not wearing seat belts, the number
of days spent in ICUs has a mean of 1.30 and a standard deviation
of 2.06 (based on data from...

Q. 11
A study of seat belt use involved with children who were
hospitalized after motor vehicle crashes. For a group of 121
children who were wearing seat belts, the number of days in
intensive care units (ICU) has a mean of 0.83 and a standard
deviation of 1.77. For a group of 156 children who were not wearing
seat belts, the number of days spent in ICUs has a mean of 1.39 and
a standard deviation of 3.06.
a. Use...

1. A simple random sample of front seat occupants involved in
car crashes is obtained. Among 2823 occupants not wearing seat
belts, 31 were killed. Among 7765 occupants wearing seat belts, 16
were killed. Does the data provide evidence to conclude that seat
belts are effective in avoiding fatalities. Perform a hypothesis
test at the 5% significance level.

9. A simple random sample of front-seat occupants involved in
car crashes was obtained. Among 7,000 occupants not wearing seat
belts, 18
were killed. Among 7765 occupants wearing seat belts, 16 were
killed. Use a 0.05 significance level to test the claim that seat
belts are effective
in reducing fatalities using the critical value
approach.

A simple random sample of front-seat occupants involved in car
crashes is obtained. Among 2500 occupants not wearing seat belts,
15 were killed. Among 7500occupants wearing seat belts, 15 were
killed. Use this data with 0.05 significance level to test the
claim that the fatality rate is higher for those not wearing seat
belts. (Write all necessary steps like Hypotheses, Test Statistic,
P-value & Conclusion)
Given that.

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