Question

In: Math

A sociologist surveys 50 randomly selected citizens in each of two countries to compare the mean...

A sociologist surveys 50 randomly selected citizens in each of two countries to compare the mean number of hours of volunteer work done by adults in each. Among the 50 inhabitants of Lilliput, the mean hours of volunteer work per year was 52, with standard deviation 11.8. Among the 50 inhabitants of Blefuscu, the mean number of hours of volunteer work per year was 37, with standard deviation 7.2.

  1. Construct the 99% confidence interval for the difference in mean number of hours volunteered by all residents of Lilliput and the mean number of hours volunteered by all residents of Blefuscu.

  2. Test, at the 1% level of significance, the claim that the mean number of hours volunteered by all residents of Lilliput is more than ten hours greater than the mean number of hours volunteered by all residents of Blefuscu.

  3. Compute the observed significance of the test in part (b).

Solutions

Expert Solution

Test statistic approach


Related Solutions

16. A sociologist surveys 50 randomly selected citizens in each of two countries to compare the...
16. A sociologist surveys 50 randomly selected citizens in each of two countries to compare the mean number of hours of volunteer work done by adults in each. Among the 50 inhabitants of Lilliput, the mean hours of volunteer work per year was 52, with standard deviation 11.8. Among the 50 inhabitants of Blefuscu, the mean number of hours of volunteer work per year was 37, with standard deviation 7.2. Construct the 99% confidence interval for the difference in mean...
Compare and contrast two selected countries with the USA economy. Analyze all 12 pillars for each...
Compare and contrast two selected countries with the USA economy. Analyze all 12 pillars for each economy and present them in the table format. Select one major challenge for each of the countries that they should address to improve their competitiveness
A group of 50 randomly selected students have a mean score of 30.8 with a standard...
A group of 50 randomly selected students have a mean score of 30.8 with a standard deviation of 3.5 on a placement test. Is their statistically significant evidence, at a 1% significance level, to say that the true mean score is greater than 30?
A poll of 50 randomly selected car owners revealed that the mean length of time they...
A poll of 50 randomly selected car owners revealed that the mean length of time they plan to keep their car is 7.01 years with a standard deviation of 3.74 years. At the 0.05 significance level, test the claim that the mean for all car owners is less than 7.5 years. Use the sample standard deviation for σ.
The world's smallest mammal is the bumblebee bat. The mean weight of 50 randomly selected bumblebee...
The world's smallest mammal is the bumblebee bat. The mean weight of 50 randomly selected bumblebee bats is 1.659 grams, with a standard deviation of 0.264 grams. a) a 99.9% confidence interval for the mean weight of all bumblebee bats at the following confidence levels (two places after decimal): ( , ) b) Find a 99% confidence interval for the mean weight of all bumblebee bats at the following confidence levels (two places after decimal): ( ,   ) c) Find...
The mean weight of 50% newborn babies selected from 60 randomly at a local hospital. Assume...
The mean weight of 50% newborn babies selected from 60 randomly at a local hospital. Assume the weight of newborn babies has approximately normal distribution. a. Find the Critical Value 99% for the mean weight of all newborn babies at this hospital. b. Find the Margin of Error for the 99% confidence interval all newborn babies at this hospital. c. Find a 99% Confidence Interval for the mean weight of all newborn babies at this hospital.
below is a data set from citizens of two different countries. These citizens were asked to...
below is a data set from citizens of two different countries. These citizens were asked to rate the NHL (National Hockey League) from 1 to 10. Calculate the summary statistics to answer a - d. a. Which group seems to give more positive ratings? Calculate and report the summary statistics that''ll help you answer this question.   b. How much do citizens from the US vary in their ratings of the NHL? Calculate and report the summary statistics that would help...
A sociologist develops a test to measure attitudes about public transportation, and 27 randomly selected subjects...
A sociologist develops a test to measure attitudes about public transportation, and 27 randomly selected subjects are given the test. Their mean score is 76.2 and their standard deviation is 21.4. Construct the 95% confidence interval for the standard deviation, σ, of the scores of all subjects. A) 17.2 < σ < 27.2 B) 16.9 < σ < 29.3 C) 17.5 < σ < 27.8 D) 16.6 < σ < 28.6
Pinworm: In Sludge County, a sample of 40 randomly selected citizens were tested for pinworm. Of...
Pinworm: In Sludge County, a sample of 40 randomly selected citizens were tested for pinworm. Of these, 9 tested positive. The CDC reports that the U.S. average pinworm infection rate is 12%. Test the claim that Sludge County has a pinworm infection rate that is greater than the national average. Use a 0.05 significance level. (a) What is the sample proportion of Sludge County residents with pinworm? Round your answer to 3 decimal places. p̂ = (b) What is the...
The life expectancy of a person in 24 randomly selected countries for the year 2011 is...
The life expectancy of a person in 24 randomly selected countries for the year 2011 is in the table below. a.) What is the range of the life expectancy rates? b.) What is the median of the life expectancy rates? 77.2 55.4 69.9 76.4 75.0 78.2 73.0 70.8 82.6 68.9 81.0 54.2 5) Cholesterol levels were collected from patients two days after they had a heart attack and are shown in the table below. (Show all work. Just the answer,...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT