Asking for Directions (Married couples) Researchers collected data on how long it took in minutes for...

Asking for Directions (Married couples) Researchers collected data on how long it took in minutes for particular spouses to ask for directions when lost. The list below has how long it took in minutes to ask for directions.

Wife 4 6 8 10 2

Husband 14 9 13 16 32

Construct a 95% confidence interval estimate of the mean of the differences between spouses asking for directions. Use the confidence interval to test the claim that men are more likely to ask for directions (hint: what does that mean in terms of your difference). Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. In addition to constructing the confidence interval, also test using the critical value method.

What distribution are you going to be using?
1. Standard Normal Distribution
2. Student t Distribution
3. Chi-square Distribution
4. None of the above
Test the claim using the critical value method (you’ll need to construct a hypothesis test, show your work, all the same steps) provide everything necessary to test a hypothesis.
Now test the claim using a confidence Interval, (you’ll need to calculate the Margin of Error, and interpret)
Now state the non-technical conclusion
In most of the above confidence and hypothesis testing, the test statistic and calculations require which of the following:
1. The data comes from a normal distributed population
2. The sample is a simple random sample
3. The sample size is greater than 40, (n>40)
4. a and b
5. None of the above

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Data from an SRS of married couples was used to test the claim that spouses are...

Data from an SRS of married couples was used to test the claim that spouses are not the same age, on average. The data was used to construct three different confidence intervals for the population mean difference in age, Ud: 90% confidence interval for Ud: (0.135, 4.265) 95% confidence interval for Ud : (-0.435, 4.835) 99% confidence interval for Ud: (-1.933, 6.333) If we use the same data to test H0:Ud=0 versus H0=Ud≠0, what is the range for the p-value...

True/False All married couples qualify for the unlimited marital deduction As long as the surviving spouse...

True/False All married couples qualify for the unlimited marital deduction As long as the surviving spouse is one of the individuals possessing a GPOA over a trust, the trust assets will qualify for the unlimited marital deduction. Once Portability was added to the Internal Revenue Code, the surviving spouse automatically receives the lesser of a) the maximum Unified Credit or b) the Unified Credit less the Estate Tax Liability.

1. Presume that the following data were collected from respondents to a poll asking for their...

1. Presume that the following data were collected from respondents to a poll asking for their rating of the current state of the economy, ranging from 1 to 100 (1= worst, 100 = best). Party affiliation Republican Independent Democrat M 45 41 31 s 9.1 8.7 10.3 n 15 13 19 1). State your hypotheses for the effect of party affiliation: H0: H1: 2). Test your hypothesis using a one-way ANOVA. Show all your work andenter your information...

Researchers are investigating how eye color affects trustworthiness. In their experiment, the researchers took photographs of...

Researchers are investigating how eye color affects trustworthiness. In their experiment, the researchers took photographs of 80 students, 40 of whom had brown eyes, and 40 of whom had blue eyes. They then recruited 105 participants, who judged each of the photographs on a 10 points trustworthiness scale (1pt=very untrustworthy, 10pts=very trustworthy). The mean score for brown-eyed students was 5.55, with a standard deviation of 1.68. For blue-eyed students the mean score was 4.62, with a standard deviation of 1.53....

Researchers have collected data on the hours of television watched in a day and the age...

Researchers have collected data on the hours of television watched in a day and the age of a person. You are given the data below. Hours of Television Age (in years) 1 45 3 30 4 22 3 25 6 5 a. Determine the dependent variable. b. Compute the least squares estimated regression equation. c. Is there a significant relationship between the two variables? Use a t test and a .05 level of significance. Be sure to state the...

A sample of n = 64 adults was taken, and researchers collected data on their salary...

A sample of n = 64 adults was taken, and researchers collected data on their salary per day in dollars. A 95% confidence interval for µ is (140.7, 159.3). Interpret the confidence interval. There is a 95% chance that µ is in (140.7, 159.3). There is a 95% probability that µ is in (140.7, 159.3). I am 95% confident that µ is captured in the interval (140.7, 159.3). All of the above. Given the sample data and confidence interval in...

Researchers have collected data on the hours of television watched in a day and the age...

Researchers have collected data on the hours of television watched in a day and the age of a person. They have taken 6 samples. A linear regression analysis has already been run on this data. Here are the partial results: Analysis of variance (Hours of Television): Source DF Sum of squares Mean squares F Pr > F Model 10.939 Error Total 13.333 Model parameters (Hours of Television): Source Value Standard error t Pr > |t| Lower...

A random sample of workers have been surveyed and data collected on how long it takes...

A random sample of workers have been surveyed and data collected on how long it takes them to travel to work. The data are in this file. Compute a 99% confidence interval for the expected time taken to travel to work. Show all your working and state any assumptions you need to make in order for your confidence interval to be valid. Interpret the confidence interval x 46.13229 43.06446 42.52708 42.12789 44.92402 34.43817 41.85524 44.2512 50.86619 34.34349 50.98036

A researcher collected data from a small random sample of ten students by asking them individually...

A researcher collected data from a small random sample of ten students by asking them individually how much time (y) they spent studying and how much time (x) they spent on social media, on one day during an exam week. Both times were given in hours, rounded to the nearest half hour. They shown in the table below. x 5 2.5 3 4.5 2.5 2 3 2 6.5 6 y 2 4.5 2 1 4 3.5 2 4 0 0.5...

Researchers wish to know if the data they have collected provide sufficient evidence to indicate a...

Researchers wish to know if the data they have collected provide sufficient evidence to indicate a difference in mean serum uric acid levels between normal individuals and individuals with Down’s syndrome The data consist of serum uric acid readings on 12 individuals with Down’s syndrome and 15 individuals without Down’s syndrome. The means are x1=4.5 mg/100 ml for those with Down’s syndrome and x2=3.4 mg/100 ml for those without. s1 = 1.0 and s2 = 1.2.

Subjects