Question

In: Statistics and Probability

The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions...

The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.† Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night. For the United States, the sample mean was 391 minutes, and for Mexico, the sample mean was 426 minutes.

The report also gave data for representative samples of 250 adults in Canada and in England. The sample mean amount of sleep on a work night was 423 minutes for Canada and 409 minutes for England. Suppose that the sample standard deviations were 35 minutes for the Canada sample and 41 minutes for the England sample.

(a)

Construct a 95% confidence interval estimate of the difference in the mean amount of sleep (in minutes) on a work night for adults in Canada and adults in England. (Use

μCanada − μEngland.

Round your answers to three decimal places.)

,

minutes

Interpret the interval.

We are 95% confident that the difference in the mean amount of sleep on a work night for the adults studied in Canada and England falls within this interval.There is a 95% chance that the difference in the mean amount of sleep on a work night for adults in Canada and adults in England falls directly in the middle of this interval.    There is a 95% chance that the true difference in the mean amount of sleep on a work night for adults in Canada and adults in England falls directly in the middle of this interval.There is a 95% chance that the difference in the mean amount of sleep on a work night for adults in Canada and adults in England falls within this interval.We are 95% confident that the true difference in the mean amount of sleep on a work night for adults in Canada and adults in England falls within this interval.

(b)

Based on the confidence interval from part (a), would you conclude that there is evidence of a difference in the mean amount of sleep on a work night for the two countries? Explain why or why not.

The confidence interval  ---Select--- (does not allow us/allows us to) conclude that there is evidence of a difference in the mean amount of sleep on a work night for the two countries because zero  ---Select--- (is not,is) contained in the confidence interval.

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions...
The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.† Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night. For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes. Suppose that the sample standard deviations were 21 minutes for the U.S. sample and 47 minutes...
The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions...
The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.† Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night. For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes. Suppose that the sample standard deviations were 26 minutes for the U.S. sample and 41 minutes...
The National Sleep Foundation used a survey to determine whether hours of sleep per night are...
The National Sleep Foundation used a survey to determine whether hours of sleep per night are independent of age (Newsweek, January 19, 2004). A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age...
A representative sample of 35 customers at bagel shop were surveyed and ask if they prefer...
A representative sample of 35 customers at bagel shop were surveyed and ask if they prefer sandwiches made on plain, everything, or sesame bagels. Each participant could only select their one most favorite bagel type. In that sample, 16 selected plain, 12 selected everything, and 7 selected sesame. Conduct a chi-square goodness-of-fit test to determine if there is evidence that the proportions of people in the population who would choose plain, everything, and sesame bagels are not all equal. Use...
A representative sample of 35 customers at bagel shop were surveyed and ask if they prefer...
A representative sample of 35 customers at bagel shop were surveyed and ask if they prefer sandwiches made on plain, everything, or sesame bagels. Each participant could only select their one most favorite bagel type. In that sample, 16 selected plain, 12 selected everything, and 7 selected sesame. Conduct a chi-square goodness-of-fit test to determine if there is evidence that the proportions of people in the population who would choose plain, everything, and sesame bagels are not all equal. Use...
According to the National Sleep Foundation, an adult between the ages of 18 and 25 should...
According to the National Sleep Foundation, an adult between the ages of 18 and 25 should be getting between 7 and 9 hours of sleep per night. Since college students are so busy with studying and other responsibilities, it seems likely they are not getting the recommended hours of sleep.  I would like to see what is true for the GVSU student body. Is there sufficient evidence to suggest that GVSU students get less than the recommended 7 hours of sleep...
About 20% of US adults don't get enough sleep. Samples of 150 adults are taken. a)...
About 20% of US adults don't get enough sleep. Samples of 150 adults are taken. a) Show the sampling distribution of p. (shape, mean, standard error) b) What is the probability that the sample portion will be witin +/- .03 of the population proportion? c) What happens to the probability as the precision level is increased ( from 3% to 5%)?
1) Choose six different tests and write six different questions one-sample t, paired samples t, independent...
1) Choose six different tests and write six different questions one-sample t, paired samples t, independent t, one-way ANOVA, Factorial ANOVA, repeated measures ANOVA, regression, correlation, or chi-square. 2) For each question, choose a different test, and write up a research scenario in which you describe the research question and some details of the study or experiment. The question that the reader has to answer is ‘which test is appropriate?’. Example (using Z-tests): A personality psychologist has decided to investigate...
NEED EXACT NUMBERS PLEASE and how to place into excel The National Sleep Foundation used a...
NEED EXACT NUMBERS PLEASE and how to place into excel The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older. Hours of Sleep Age Fewer than 6 6 to 6.9 7 to 7.9 8 or more Total 49 or...
The National Sleep Foundation used a survey to determine whether hours of sleeping per night are...
The National Sleep Foundation used a survey to determine whether hours of sleeping per night are independent of age (Newsweek, January 19, 2004). The following show the hours of sleep on weeknights for a sample of individuals age 49 and younger and for a sample of individuals age 50 and older. Hours of Sleep Age Fewer than 6 6 to 6.9 7 to 7.9 8 or more Total 49 or younger 35 65 71 69 240 50 or older 37...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT