Question

Recent publications have hinted at the growing importance of sleep in the elderly in order to...

Recent publications have hinted at the growing importance of sleep in the elderly in order to maintain good health. Suppose a researcher is interested in the hypothesis that the difference in average hours of sleep differs significantly between men aged 35-45 and men aged 45+. Assume the following table summarizes the descriptive statistics for SRSs from each age group. Carry out the appropriate statistical test to answer the researcher’s hypothesis regarding the difference in average hours of sleep between the two groups under investigation. Assume that all conditions for the testing are met. Use an alpha level of 0.05. Calculate a pooled variance under the equal variance assumption. Write out your null and alternative hypotheses and interpret your pvalue.

Age group

Average hours of sleep

Standard deviation

Sample Size

35-45

7.4

1.02

24

45+

5.2

0.87

32

Ho: µ12 Ha: µ1≠µ2

T statistic=8.697

Pvalue=7.53*10-12

Reject the Ho that there is no significant difference in average hours of sleep between the two age groups being compared.

Ho: µ12 Ha: µ1≠µ2

T statistic=10.97

Pvalue=15.53*10-12

Accept the Ho that there is significant difference in average hours of sleep between the two age groups being compared.

Ho: µ12 Ha: µ1≠µ2

T statistic=23.697

Pvalue=127.53*10-12

Accept the Ho that there is no significant difference in average hours of sleep between the two age groups being compared.

Homework Answers

Answer #1

Correct option is:

Ho: µ1=µ2 Ha: µ1≠µ2

T statistic=8.697

Pvalue=7.53*10-12

Reject the Ho  that there is no significant difference in average hours of sleep between the two age groups being compared

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
New research has found that a popular barrier birth control method may lead to a significant...
New research has found that a popular barrier birth control method may lead to a significant increase in risk for a number of cardiac events not commonly seen in women in such a young age demographic. Suppose researchers interested in this claim gather a SRS of 2,789 women taking the birth control and 3,498 women taking some other form of birth control and look at the number of blood-clot-related fatalities. Assume the following table represents the summary statistics for their...
Question 6 An investigator is looking at the relationship between periodontal disease and the onset of...
Question 6 An investigator is looking at the relationship between periodontal disease and the onset of hypertension. Suppose the investigator decides to look at height as a variable that may confound the relationship between exposure and case status in his study. After collecting information about the height of each participant, he assembles a database that approximates height with the normal distribution. A) Assuming the mean of the distribution is 176.2 cm with a standard deviation of 17.5 cm, what are...
The National Sleep Foundation asked a random sample of 1010 US adults questions about their sleep...
The National Sleep Foundation asked a random sample of 1010 US adults questions about their sleep habits. One of the questions asked about snoring. Of the 995 respondents, 37% of adults reported that they snored at least a few nights a week during the past year. When split into two age categories, 26% of the 184 people under 30 snored, compared with 39% of the 811 in the older group. Could this be considered a significant difference? Let the older...
Scientist study the relationship between sleeping habits and quality of life in college age men. They...
Scientist study the relationship between sleeping habits and quality of life in college age men. They selected an alpha of 0.05. The researchers examined the average score on a validated quality of life scale and compared the score among different levels of sleep hours per week in the men. A p value of 0.016 is reported. Based on this, you know that: a. There is no significant difference in the average quality of life scores. b. There is a clinically...
Questions 7 to 13 are based on the following problem A researcher used a sample of...
Questions 7 to 13 are based on the following problem A researcher used a sample of n =16 adults between the ages of 40 and 45. For each person, the researcher recorded the difference between the ratings obtained while smiling and the rating obtained while frowning. On average the cartoons were rated as funnier when the participants were smiling, with an average difference of MD = 1.6, with SS = 135. Are the cartoons rated as significantly funnier when the...
For a sample of 116 college students, the relationship between the reported hours of sleep during...
For a sample of 116 college students, the relationship between the reported hours of sleep during the previous 24 hours and the reported hours of study during the same period was studied. Data for y = hours of sleep the previous day and x = hours of studying the previous day for n = 116 college students were computed. Some regression results for those data are shown in the following table. Regression output Predictor Coef SE Coef T P Constant...
1a) A researcher used a sample of n =16 adults between the ages of 40 and...
1a) A researcher used a sample of n =16 adults between the ages of 40 and 45. For each person, the researcher recorded the difference between the ratings obtained while smiling and the rating obtained while frowning. On average the cartoons were rated as funnier when the participants were smiling, with an average difference of MD = 1.6, with SS = 135. Are the cartoons rated as significantly funnier when the participants are smiling ? Use a one-tailed test with...
Question 21 Suppose a health insurance company is interested in carrying out an investigation as to...
Question 21 Suppose a health insurance company is interested in carrying out an investigation as to the annual expenditures per household on their healthcare costs. In order to most accurately report their figures, the company decides to ensure “virtual certainty” about their estimates by using a Z value of 3.0 for their calculations. The company conducts a SRS of 843 households and determines the sample average household expenditures on healthcare is $43,257.00. A) Assume the company uses a σ=$879.00. Calculate...
People who sustain a concussion or a traumatic brain injury (TBI) are likely to experience sleep...
People who sustain a concussion or a traumatic brain injury (TBI) are likely to experience sleep problems. Do these problems persist? Researchers recruited a sample of 31 patients who had their first ever TBI 18 months earlier and a control group of 42 otherwise similar individuals without prior brain trauma. They compared sleep duration per 24 hours (recorded electronically over a two‑week period) for the two groups. A finding was reported in a scientific journal: "In the chronic state after...
The China Health and Nutrition Survey aims to examine the effects of the health, nutrition, and...
The China Health and Nutrition Survey aims to examine the effects of the health, nutrition, and family planning policies and programs implemented by national and local governments. It, for example, collects information on number of hours Chinese parents spend taking care of their children under age 6. The side-by-side box plots below show the distribution of this variable by educational attainment of the parent. Also provided below is the ANOVA output for comparing average hours across educational attainment categories. Df...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT