Question

In: Statistics and Probability

24. Assume that the resting heart rate in humans is normally distributed with a population mean...

24. Assume that the resting heart rate in humans is normally distributed with a population mean of 72 bpm and a standard deviation of 8 bpm.

a. What proportion of the population has resting heart rates between 70 and 82 bpm?

b. What proportion of the population has resting heart rates between 50 and 75 bpm?

c. What proportion of the population has resting heart rates between 60 and 70 bpm?

d. What proportion of the population has resting heart rates between 55 and 69 bpm?

24. A population of scores has a mean of 56. In this population, a raw score of 40 corresponds to a z score of -4. What is the population standard deviation?

25. A population of scores has a standard deviation of 5. In this population a raw score of 45 corresponds to a z score of 1.5. What is the population mean?

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Assume the resting heart rates for a sample of individuals are normally distributed with a mean...
Assume the resting heart rates for a sample of individuals are normally distributed with a mean of 85 and a standard deviation of 20. Use the​ 68-95-99.7 rule to find the following quantities. a. The relative frequency of rates less than 125 using the​ 68-95-99.7 rule is ____________. b. The relative frequency of rates greater than 105 using the​ 68-95-99.7 rule is ___________. c. The relative frequency of rates between 45 and 85 using the​ 68-95-99.7 rule is _____________.
Assume that a population is normally distributed with a population mean of μ = 8 and...
Assume that a population is normally distributed with a population mean of μ = 8 and a population standard deviation of s = 2. [Notation: X ~ N(8,2) ] Use the Unit Normal Table to answer the following questions. (I suggest you draw a picture of the normal curve when answering these questions.) 8. Let X=4 Compute the z-score of X. For that z-score: a. What proportion of the area under the Unit Normal Curve is in the tail? b....
Assume that a population is normally distributed with a population mean of μ = 8 and...
Assume that a population is normally distributed with a population mean of μ = 8 and a population standard deviation of s = 2. [Notation: X ~ N(8,2) ] Use the Unit Normal Table to answer the following questions. (I suggest you draw a picture of the normal curve when answering these questions.) 8. Let X=7 Compute the z-score of X. For that z-score: a. What proportion of the area under the Unit Normal Curve is in the tail? b....
Assume that a population is normally distributed with a mean of 100 and a standard deviation...
Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?
A normally distributed population has a mean of 65 and a standard deviation of 24. Sample...
A normally distributed population has a mean of 65 and a standard deviation of 24. Sample averages from samples of size 19 are collected. What would be the lower end of the centered interval that contains 90% of all possible sample averages? I know how to do a most of this, but I am confused on how I find the Z variable. Thanks!
The heart rate of a healthy lion is approximately normally distributed with mean µ = 40...
The heart rate of a healthy lion is approximately normally distributed with mean µ = 40 beats per minutes. A heart rate that is too slow or too fast can indicate a health problem. A veterinarian has removed an abscessed tooth from a young healthy zoo lion. As the animal slowly starts to come out of the anesthetic, the heart rate is taken and recorded for half an hour (beats per minute): 30 37 43 38 35 36 Test the...
Assume that blood pressure readings are normally distributed with a mean of 123 and a population...
Assume that blood pressure readings are normally distributed with a mean of 123 and a population standard deviation of 9.6. If 67 people are randomly selected, find the probability that their mean blood pressure will be less than 125.
Assume that systolic blood pressure (SBP) in a population is normally distributed with a mean of...
Assume that systolic blood pressure (SBP) in a population is normally distributed with a mean of 120 mmHg and a standard deviation of 10 mmHg - What percent of the population has an SBP > 130 mmHg? - What percent of the population has an SBP in the range of 110 to 140 mmHg inclusive? - What percent of the population has an SBP > 150 or < 110 mmHg? Fill in blanks of the following statements. Bottom 10% of...
Assume Y is a normally distributed population with unknown mean, μ, and σ = 25. If...
Assume Y is a normally distributed population with unknown mean, μ, and σ = 25. If we desire to test  H o: μ = 200 against H 1: μ < 200, (a.) What test statistic would you use for this test? (b.)What is the sampling distribution of the test statistic? (c.) Suppose we use a critical value of 195 for the scenario described. What is the level of significance of the resulting test? (d.) Staying with a critical value of 195,...
Assume the heights in a male population are normally distributed with mean 70.3 inches and standard...
Assume the heights in a male population are normally distributed with mean 70.3 inches and standard deviation 4.1 inches. Then the probability that a typical male from this population is between 5 feet 6 inches and 6 feet tall is (to the nearest three decimals) which of the following? a. 0.661 b. 0.514 c. 0.853 d. None of the above
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT