Question

Every day for a year, before you get out of bed you measure and record your resting heart rate. The data is normally distributed with a mean of 56 beats per minute and a standard deviation of 5 beats per minute.

a) What is the probability that your resting heart rate will be between 50 and 60 bpm?

b) What percentage of the year will your resting heart rate be above 54 bpm? How many days is that?

c) What is your resting heart rate if the bpm is 0.75 standard
deviations below the mean of 56
bpm? **(****F****inal
answer to 2 decimal places (1 mark))**

**question 2**

An insurance company states that a certain percentage of claim are fraudulent. In fact they claim that 10% of fire insurance claims are fraudulent. Suppose the company is correct, and the company takes a random sample of 128 claims.

a) Can we assume the sampling distribution of sample proportions
is normally distributed? In other words, can we use the properties
of normal distribution? Why? SHOW YOUR WORK

b) What's the probability that at least 16 claims in the sample are fraudulent?

c) What's the probability that between 8 and 18 claims in the sample are fraudulent?

Answer #1

Consumer Reports indicated that the average life of a
refridgerator before replacement is mean= 14 years with a (95% of
data) range from 9 to 19 years. Let x= age at which refrigerator is
replaced. Assume that x has a distribution that is approximately
normal.
a) Find a good approximation for the standard deviation of x
values.
b) What is the probability that someone will keep a refrigerator
fewer than 11 years before replacement?
c) What is the probability that...

assume that females have pulse rates that are normally distributed
with a mean of 73.0 beats per minute and a standard deviation of
12.5 beats per minute.
a. if 1 adult female is randomly selected find the probability
that her pulse rate is less than 76 bpm
b. if 25 adult females are randomly selected, find the
probability that they have pulse rates with a mean less than 76
bpm.
c. why can the normal distribution be used in part...

5) A researcher at the University of Michigan medical school
believes that coffee consumption may increase heart rate. Suppose
it is known that heart rate (in beats per minute) is normally
distributed with an average of 70 bpm for adults. A random sample
of 24 adults was selected and it was found that their average
heartbeat was 73 bpm after coffee consumption, with a standard
deviation of 7 bpm. Is there any evidence to support the
researcher’s belief at 2.5%...

Assume that females have pulse rates that are normally
distributed with a mean of mu equals 74.0 beats per minute and a
standard deviation of sigma equals 12.5 beats per minute. Complete
parts (a) through (c) below. a. If 1 adult female is randomly
selected, find the probability that her pulse rate is less than 81
beats per minute. The probability is nothing . (Round to four
decimal places as needed.) b. If 25 adult females are randomly
selected, find...

The amount of time it takes for a given insurance company to
process each insurance claim is normally distributed. To better
gauge the processing time, a sample of 16 insurance claims were
collected. The sample mean of processing times was 5.4 days and the
sample standard deviation was 2.2 days. Based on this sample
a) Find the probability that the standard deviation of the
processing time of insurance claims is smaller than 3 days.
b) Find the probability that the...

A random sample of 14 men's resting pulse rates showed a mean
of 71.5 beats per minute and standard deviation of 19.9. Assume
that pulse rates are Normally distributed. Use the table to
complete parts (a) through (c) below. LOADING... Click the icon
to view the t-table. a. Find a 95% confidence interval for the
population mean pulse rate of men, and report it in a sentence.
Choose the correct answer below and, if necessary, fill in the
answer boxes...

The amount of time it takes for a given insurance company to
process each insurance claim is normally distributed. To better
gauge the processing time, a sample of 16 insurance claims were
collected. The sample mean of processing times was 5.4 days and the
sample standard deviation was 2.2 days. Based on this sample
a) Find the probability that the standard deviation of the
processing time of insurance claims is smaller than 3 days.
b) Find the probability that the...

1. Do you check your phone or use technology right before you go
to bed? If so, chances are that you are not alone. A recent news
report claims that 60% of adults use some kind of technology right
before they go to bed at night. Believing that this claimed value
is too low, a researcher surveys a random sample of 200 adults and
finds that 71% use some kind of right before they go to bed. If a
hypothesis...

A certain paper describes a study of the possible cardiovascular
benefits of active video games. Mean heart rate for healthy boys
ages 10 to 13 after walking on a treadmill at 2.6 km/hour for 6
minutes is known to be 98 beats per minute (bpm). For each of 14
boys in this age group, heart rate was measured after 15 minutes of
playing Wii Bowling. The resulting sample mean and standard
deviation were 104 bpm and 16 bpm, respectively. Assume...

1. You are working for a drug company that is testing a drug
intended to increase heart rate. A sample of 100 randomly treated
male patients between 30 and 50 experienced a mean heart beat of
76.5 beats per minute. The population mean for this same
demographic group is generally known to be 75 beats per minute, and
the standard deviation of heart beat for this group is to 5.6.
Before putting the drug up for market, the company wants...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 10 minutes ago

asked 24 minutes ago

asked 28 minutes ago

asked 30 minutes ago

asked 31 minutes ago

asked 43 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago