Question

In: Statistics and Probability

The medical reports from the track team in university x showed that, over the last few...

The medical reports from the track team in university x showed that, over the last few years, its first-year athletes have had a resting heart rate of μ= 53 beats per minute, with σ= 10. What is the probability that this year the sample of freshman (n=25) have a mean heart rate of 57 or lower (M<=57)?

a. 2.28%

b. 34.5%

c. 97.7%

d. 65.6%

Solutions

Expert Solution

Solution :

Given that,

mean = = 53

standard deviation = = 10

n = 25

= 53

=  / n = 10/ 25=2

P(M  57) = P[(M - ) / < (57-53) /2 ]

= P(z <2 )

Using z table  

= 0.9772

=97.7%


Related Solutions

Kathleen is a 1.68 m, 59 kg, 20-year-old university student. Over the last few years she...
Kathleen is a 1.68 m, 59 kg, 20-year-old university student. Over the last few years she has gained, then lost, five to seven kilograms several times. Recently, she has been trying hard to keep her weight down. Like many university students, Kathleen goes out every weekend and tends to overindulge. During the week she lives the life of a serious student, eating very little and getting seven to eight hours of sleep every night. By Friday, she is ready to...
Over the last few months, the Bank of Ghana (BoG) has cracked the whip at the...
Over the last few months, the Bank of Ghana (BoG) has cracked the whip at the banking industry in a bid to restore sanity in the industry. In August 2017, the UT and Capital Banks were liquidated for failing to meet the BoG’s minimum capital ratio. The operations of UniBank, Royal Bank, Beige Bank, Sovereign Bank, and Construction Bank ended. In their place the BoG announced a new bank called the Consolidated Bank, as part of measures to ensure the...
QUESTION Over the last few months, the Bank of Ghana ( has cracked the whip at...
QUESTION Over the last few months, the Bank of Ghana ( has cracked the whip at the banking industry in a bid to restore sanity in the industry. In August 2017, the UT and Capital Banks were liquidated for failing to meet the bank of Ghana’s minimum capital ratio. The operations of UniBank, Royal Bank, Beige Bank, Sovereign Bank, and Construction Bank ended. In their place the bank of Ghana announced a new bank called the Consolidated Bank, as part...
Over the last few months, the Bank of Ghana (BoG) has cracked the whip at the...
Over the last few months, the Bank of Ghana (BoG) has cracked the whip at the banking industry in a bid to restore sanity in the industry. In August 2017, the UT and Capital Banks were liquidated for failing to meet the BoG’s minimum capital ratio. The operations of UniBank, Royal Bank, Beige Bank, Sovereign Bank, and Construction Bank ended. In their place the BoG announced a new bank called the Consolidated Bank, as part of measures to ensure the...
Over the last few months, the Bank of Ghana (BoG) has cracked the whip at the...
Over the last few months, the Bank of Ghana (BoG) has cracked the whip at the banking industry in a bid to restore sanity in the industry. In August 2017, the UT and Capital Banks were liquidated for failing to meet the BoG’s minimum capital ratio. The operations of UniBank, Royal Bank, Beige Bank, Sovereign Bank, and Construction Bank ended. In their place the BoG announced a new bank called the Consolidated Bank, as part of measures to ensure the...
in the last few decades, the auto industry has shifted from one in which a few,...
in the last few decades, the auto industry has shifted from one in which a few, large companies primarily manufactured in their domestic markets and sold in their domestic markets, to one in which a few large companies serve the world market, manufacturing around the globe to capture competitive advantages wherever they can. 3-a) Why do companies like Toyota and Nissan have large operations in the U.S. market? Why don’t American companies have a large presence in Japan? 3-b) Why...
Scenario #1 You have been working at University Medical Center for five years. A few months...
Scenario #1 You have been working at University Medical Center for five years. A few months ago, you struggled through some personal issues and abused alcohol to cope. You received treatment at a local Drug and Alcohol Inpatient Center and are in an out-patient recovery program. Your best friend, who also works with you at the Medical Center, knows about this and told your supervisor during a related discussion one day. Later that week, your supervisor told another colleague that...
Over the last few decades, the income sources for banks have changed. Outline the changes and...
Over the last few decades, the income sources for banks have changed. Outline the changes and discuss why non-interest income has become so important to banks?
Over the last few decades, the income sources for banks have changed. Outline the changes and...
Over the last few decades, the income sources for banks have changed. Outline the changes and discuss why non-interest income has become so important to banks?
A random sample of 40 students taken from a university showed that their mean GPA is...
A random sample of 40 students taken from a university showed that their mean GPA is 2.94 and the standard deviation of their GPAs is .30. Construct a 99% confidence interval for the mean GPA of all students at this university
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT