Question

Assume that the population of human body temperatures has a mean of 98.6 degrees F, as...

  1. Assume that the population of human body temperatures has a mean of 98.6 degrees F, as is commonly believed. Also assume that the population has a standard deviation of 0.62 degrees F.
  1. If a sample size of n=106 is randomly selected, find the probability of getting a mean of 98.2 degrees F or lower. (Verify that the central limit theorem applies if you are using it.)
  1. A study was done with this sample size of 106 randomly selected adults and they obtained 98.2 degrees F as the mean body temperature of the sample. Using part (a), how can we interpret this result?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(a) Assume that the population of human body temperatures has a mean of 98∘F   as is...
(a) Assume that the population of human body temperatures has a mean of 98∘F   as is commonly believed. Also assume that the population standard deviation is 0.62∘F. If a sample of 100 people are randomly selected, find the probability of getting a sample mean of  98.2∘F or higher? (3pts) (b) The state of New South Wales has an unemployment rate of 5%. The state conducts monthly surveys in order to track the unemployment rate. In a recent month, a random sample...
2. The human body temperature has an average of 98.6° F and standard deviation of 0.62°...
2. The human body temperature has an average of 98.6° F and standard deviation of 0.62° F. [10pts] a. State the Central Limit Theorem. b. Find the probability that 1 randomly selected person has less than 98.2° F. c. If 106 people are randomly selected, find the probability that the average temperature for the sample is 98.2° F or lower. d. Given the results, what can you conclude about this event?
10. A sample of 106 body temperatures with a mean of 98.2 F and a standard...
10. A sample of 106 body temperatures with a mean of 98.2 F and a standard deviation of 0.62 F is given. At a 0.05 significance level, test the claim that the mean body temperature of the population is equal to 98.6 F. Assume normality. a) b) c) d) e)
A sample of 100 body temperatures has a mean of 98.6 oF. Assume that population standard...
A sample of 100 body temperatures has a mean of 98.6 oF. Assume that population standard deviation σ is known to be 0.5 oF. Use a 0.05 significance level to test the claim that the mean body temperature of the population is equal to 98.5 oF, as is commonly believed. What is the value of test statistic for this testing? 2.0 –2.0 1.0 3.0
The body temperatures of adults are normally distributed with a mean of 98.6 degrees Fahrenheit and...
The body temperatures of adults are normally distributed with a mean of 98.6 degrees Fahrenheit and a standard deviation of 1.2 degrees Fahrenheit. If 31 adults are randomly selected, find the probability that their mean body temperature is greater than 99.3 degrees Fahrenheit.
6. A sample of 200 body temperatures of adults has a mean temperature of 98.10◦F. Suppose...
6. A sample of 200 body temperatures of adults has a mean temperature of 98.10◦F. Suppose the population standard deviation is 0.62◦F. Use a 0.05 significance level to test the claim that the mean body temperature of all adults is equal to 98.6◦F as is commonly believed. Fill in the following information as you test the above claim: State the claim symbolically and the opposite of the claim. H0 : H1 : Teststatistic: P-value: Conclusion:
Suppose that human body temperature are normally distributed with a mean of 98.2 degrees F and...
Suppose that human body temperature are normally distributed with a mean of 98.2 degrees F and a standard deviation of 0.62 degrees F. 1. Physicians want to select the lowest body temperature considered to be a fever and decide that only 5% of the population should exceed the temperature. What values should they use for this temperature? 2. Suppose that one individual is selected at random. Find the probability that their temperature will exceed 100 degrees F. 3. Suppose that...
The body temperatures of adults are normally distributed with a mean of 98.6 degrees and a...
The body temperatures of adults are normally distributed with a mean of 98.6 degrees and a standard deviation of 0.71 degrees. What temperature represents the 97th percentile? Round to the nearest hundredth.
A random sample of 130 human body temperatures, provided in the Journal of Statistical Education, has...
A random sample of 130 human body temperatures, provided in the Journal of Statistical Education, has a mean of 98.25◦ F and a standard deviation of 0.73◦ F. A researcher named Violet believes that the commonly reported mean body temperature of 98.6◦ F is incorrect. In this problem, you will conduct a hypothesis t-test to test Violet’s claim and determine if the given data indicates that the average human body temperature is different from 98.6◦ F. (a) Verify that the...
John wishes to study the mean human body temperature. John organizes a simple random sample which...
John wishes to study the mean human body temperature. John organizes a simple random sample which allows him to measure the human body temperature of 45 people at school. His calculations show that his sample has a mean human body temperature of 98.40°F and a standard deviation of 0.62°F. Prior studies indicate that human body temperatures are normally distributed with a standard deviation of 0.50°F. Use the p-value method and a 2% significance level to test the claim that the...