Question

Question 4: An article in Wikipedia claims that the mean body temperature of adults is less...

Question 4:

An article in Wikipedia claims that the mean body temperature of adults is less than 98.6° F. This goes against everything you’ve ever been taught, so you gather 565 healthy adults and observe a mean body temperature of 98.2°F, with the sample standard deviation of 2.6°F. Test the article’s claim at a 5% level of significance.

If the problem is a confidence interval:

  • Show whether the criteria for approximate normality are met. (1 point)

  • Summarize the sample statistics. (1 point)

  • Give the formula for the margin of error or test statistic. (1 point)

  • Give the formula for the confidence interval. (1 point)

  • Based on the technology results provided, write the 95% confidence interval. (3 points)

  • Interpret the results in the context of the problem (3 points)

If the problem is a hypothesis test:

  • Give the null and alternative hypotheses; (2 points)

  • Is this a one‐tailed or two‐tailed test? Think about the null hypothesis. How do you know
    that this is a one or two‐tailed test? (1 point)

  • Show whether the criteria for approximate normality are met. (1 point)

  • Summarize the sample statistics (1 point)

  • Give the formula for the test statistic; (1 point)

  • Using the technology results provided, point out the value for the test statistics, degree of
    freedom, and the p-value. (1 point)

  • Using the p-value and the significance level, make a decision on the null hypothesis. (1
    point)

  • What decision can you make about the alternative hypothesis? (1 point)

  • Write your conclusion in the context of the problem. (1 point)

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
From a random sample of 780 US homes it was found that 655 had broadband Internet...
From a random sample of 780 US homes it was found that 655 had broadband Internet access. Construct a 95% confidence interval for the proportion of US homes with broadband Internet access. Technology results for this problem: Give the null and alternative hypotheses; (2 points) Is this a one‐tailed or two‐tailed test? Think about the null hypothesis. How do you know that this is a one or two‐tailed test? (1 point) Show whether the criteria for approximate normality are met....
1.   Carl Reinhold August Wunderlich reported that the mean temperature of humans is 98.6F. To test...
1.   Carl Reinhold August Wunderlich reported that the mean temperature of humans is 98.6F. To test this long-held belief about the average body temperature, medical researchers measured the temperature of 36 randomly selected healthy adults. The sample data resulted in a sample mean of 98.2F and a sample standard deviation of 0.6F. Assuming that the population is normal, test whether the mean temperature of humans is different from 98.6F at the 5% significance level. To gain full credit, you should...
Sample Statistic Value of sample statistic Sample mean () Body Mass Index (BMI) 21.65 Sample standard...
Sample Statistic Value of sample statistic Sample mean () Body Mass Index (BMI) 21.65 Sample standard deviation (s) of Body Mass Index (BMI) 4.33 Sample size 92 (13 points) You will use information about the body mass index (BMI) variable for the sample of adolescent girls to perform a hypothesis test. You will test the claim that the mean BMI for all adolescent girls is 21.0. The null hypothesis is H0 : µ = 21.0. State the alternate hypothesis for...
REM sleep is when most people dream. Each night, adults have both REM and non-REM sleep....
REM sleep is when most people dream. Each night, adults have both REM and non-REM sleep. It is thought that children have more REM sleep than adults. A random sample of 10 children had an average REM sleep time of 2.8 hours. A random sample of 10 adults had an average REM sleep time of 2.1 hours. From previous studies, the standard deviations are known to be 0.5 hour for the children’s group and 0.7 hour for the adult group....
3. A study done on body temperatures of men and women. The results are shown below:...
3. A study done on body temperatures of men and women. The results are shown below: Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Use a 0.05 significance level To test the claim that men have a higher mean body temperature than women. μ1 n1 = 11 X1 = 97.57 S1 = 0.78 degree F degree F μ2 n2 = 59 X2...
A local brewery distributes beer in bottles labeled 16.9 fluid ounces. A government agency thinks that...
A local brewery distributes beer in bottles labeled 16.9 fluid ounces. A government agency thinks that the brewery is cheating its customers. The agency selects 31 of these bottles, measures their contents, and obtains a sample mean of 16.71 fluid ounces and a standard deviation of 0.51 fluid ounce. Does the sample show that the government agency is correct in thinking that the mean amount of beer is less than 16.9 fluid ounces? Use a = 0.05. a. State the...
(1 point) Is college worth it? Part I Among a simple random sample of 331 American...
(1 point) Is college worth it? Part I Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school. A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey...
Your company must charge $100 for a software upgrade to make a profit on its development....
Your company must charge $100 for a software upgrade to make a profit on its development. You must find out if your customers are willing to pay this much. A random sample of 72 customers finds that 21 would pay $100 for the upgrade. If the upgrade is to be profitable, you will need to sell it to more than 25% of your customers. Do the sample data provide good evidence that more than 25% are willing to buy at...
Can you please explain every question step by step. I am trying to understand it as...
Can you please explain every question step by step. I am trying to understand it as best as I can. Dr. Smith believes that exposing babies and children to classical music with raise their intelligence quotient (IQ). To test this idea, he administers IQ tests to 10 children of his friends who listen to classical music on a regular basis. He then compares the results from these 10 kids to the national average, which is 100. The results are below:...
A researcher is interested in comparing the GPAs of students whose first language was not English...
A researcher is interested in comparing the GPAs of students whose first language was not English with that of the average student in the United States to see if there is any difference. He obtains a sample of 51 students whose first language was not English. This sample’s average GPA is 3.48 with a variance (s2) of 1.44. The average GPA of all students in the United States is 3.13. Set alpha equal to 0.05. a. Write the null hypothesis...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT