Question

In: Statistics and Probability

A social sciences researcher wants to know about the amount of money that couples without children...

A social sciences researcher wants to know about the amount of money that couples without children spend on leisure travel. Her sample of 28 couples yields a mean of $1263.00 and a standard deviation of $160.00. What is the margin of error for a 95% confidence interval?

Solutions

Expert Solution

Solution :

Given that,

= $1263

s =160

n = Degrees of freedom = df = n - 1 = 28- 1 = 27

At 95% confidence level the t is ,

= 1 - 95% = 1 - 0.95 = 0.05

  / 2= 0.05 / 2 = 0.025

t /2,df = t0.025,90 = 2.052 ( using student t table)

Margin of error = E = t/2,df * (s /n)

= 2.052 * (160 / 28)

= 62.05

margin of error for a 95% confidence interva is 62.05


Related Solutions

A researcher wants to know whether TV time is related to amount of sharing for boys and girls.
Two-Way ANOVA Extra Credit Worksheet PSYC2002C-007 A researcher wants to know whether TV time is related to amount of sharing for boys and girls. To test this, the researcher splits 24 boys and 24 girls into even groups to undergo conditions of no TV, 1 hour of TV, 2 hours of TV, and 3 hours of TV, then measures the number of times they shared toys or food with the other children in their group in an hour-long play-time afterwards....
A researcher wants to know whether supplements affect how long vampires can go without requiring human...
A researcher wants to know whether supplements affect how long vampires can go without requiring human blood. She took one sample of vampires (n = 10). Half received a placebo first and the supplement second, while the other half received the sup- plement first and the placebo second. She then recorded how many days the vampires could go without consuming human blood for each condition. The goal of the study was to see whether there would be any difference between...
A researcher wants to know how optimistic students are about getting a job after they finish...
A researcher wants to know how optimistic students are about getting a job after they finish their university studies. The researcher randomly selected 10 students from the graduating class to complete a short questionnaire. A key question asked what was the likelihood that the student would get their preferred job soon after graduation. The questionnaire used a 7-point scale from extremely unlikely (1) to extremely likely (7). The researcher wanted to know if students’ responses were consistently above or below...
1. A researcher working with data about individuals’ ages and their income wants to know how...
1. A researcher working with data about individuals’ ages and their income wants to know how income is related to age. Does income go up or down or remain constant with age? Which analysis would help the researcher understand this relationship best? 2. A. correlation analysis B. logistic regression analysis C. means comparison analysis D. regression analysis 1. A researcher is working with two variables measured at the interval level. Which statistical tool should the researcher use? 2. A. χ2...
A researcher wanted to know if there is an age difference in the amount of time...
A researcher wanted to know if there is an age difference in the amount of time spent on social media. They collected data from 8 teenagers (13-18 years old) and 8 young adults (21-26 years old); they measured the average number of hours spent using all social media platforms over the course of a day. The mean hours spent on social media for teenage participants was 2.9750 with a variance of 1.0630 and the mean hours spent on social media...
Question 4 A researcher wants to know the relationship between murder and robbery. The researcher recorded...
Question 4 A researcher wants to know the relationship between murder and robbery. The researcher recorded the number of murders and robberies per 100,000 population for a random selection of cities. Help the researcher to find the relationship between the two variables. Murders, x 2.4 2.7 5.6 2.6 2.1 3.3 6.6 5.7 Robberies, y 25 14 151 91 80 49 173 96         a. Calculate the correlation coefficient, R. Interpret the calculated value of R.       b. Briefly comment on...
A market researcher working for a bank wants to know if the distribution of applications by...
A market researcher working for a bank wants to know if the distribution of applications by card is the same for the past three mailings. She takes a random sample of 200 from each mailing and counts the number applying for​ Silver, Gold, and Platinum. The reported results appear in the accompanying table. Complete parts a through g below. silver gold platinum total mailing 1 119 55 26 200 mailing 2 120 55 25 200 mailing 3 130 54 16...
A researcher wants to know if the length of sentences received for a particular type of...
A researcher wants to know if the length of sentences received for a particular type of crime was the same for men and women. The length of sentence received was recorded for a random sample of men and women. The data, in years, are listed below. Use the Wilcoxon rank sum test to test the claim that there is no difference between the sentences received by men and the sentences received by women. Use α = 0.05. Men 6 18...
A researcher wants to know if the news station a person watches is a factor in...
A researcher wants to know if the news station a person watches is a factor in the amount of time (in minutes) that they watch. The table below shows data that was collected from a survey. Local FOX CNN 56 50 64 20 43 67 25 30 23 61 62 24 53 51 63 43 16 38 35 61 42 23 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was...
A retailer wants to know if the amount of sales (in $) is affected by time...
A retailer wants to know if the amount of sales (in $) is affected by time of the day (morning vs. afternoon) and the method customers use to place order (online vs. phone). Run the appropriate statistical test and at .05 level identify whether these factors have an effect on the sales amount. Identify if there is a significant interaction effect (at .05 level). Phone Online Morning 366 406 372 348 358 369 353 409 396 370 396 407 301...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT