Question

In: Statistics and Probability

4.   Sampling and Sampling Distributions In the most recent hearing on Highway safety at the New York...

4.   Sampling and Sampling Distributions

In the most recent hearing on Highway safety at the New York City Council hearings, it was determined that the average travels 1,123 miles per month.  Assume the population standard deviation is 341 miles per month. Determine the interval that will contain 95% of the sample means for the sample size of

a. 30 drivers

b. 45 drivers

c. Explain the difference in these probabilities

Solutions

Expert Solution

a)

The interval is (1000.9747, 1245.0253)

b)

The interval is (1017.323, 1228.677)

c) We can conclude that, as the sample size increases, the width of the interval decreases.


Related Solutions

According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is...
According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this year's rate. Nine out of 70 randomly chosen N. Y. City residents reply that they smoke. Conduct a hypothesis test at the 5% level to determine if the rate has decreased from 14%.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In...
According to an article in Bloomberg Business Week, New York City’s most recent adult smoking rate...
According to an article in Bloomberg Business Week, New York City’s most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this year’s rate. Nine out of 70 randomly chosen New York City residents reply that they smoke. Perform the hypothesis test to determine if the rate is still 14% or if it has decreased and compute the P-value. Based on your P-value, what is the conclusion if we test at the 0.05 level of...
4. In a recent publication, it was reported that the average highway gas mileage of tested...
4. In a recent publication, it was reported that the average highway gas mileage of tested models of a new car was 33.2 mpg with a standard deviation of 2.5 mpg, with the mileages approximately normally distributed. H0 : µ = 33.2 Ha : µ < 33.2 Part a: Describe a Type II error in the context of the hypothesis test. Part b: If a simple random sample of 100 cars is selected, what values of the sample mean ¯x...
4. In a recent publication, it was reported that the average highway gas mileage of tested...
4. In a recent publication, it was reported that the average highway gas mileage of tested models of a new car was 33.2 mpg with a standard deviation of 2.5 mpg, with the mileages approximately normally distributed. H0 : µ = 33.2 Ha : µ < 33.2 Part a: Describe a Type II error in the context of the hypothesis test. Part b: If a simple random sample of 100 cars is selected, what values of the sample mean ¯x...
4. New York Apartments. The market supply and demand functions for apartment rentals in New York...
4. New York Apartments. The market supply and demand functions for apartment rentals in New York are given as follows: P=2500-Q and P=300+Q where P is the monthly rent in $ and Q is the number of apartments rented per month. Which is demand, which is supply? Explain. What is the equilibrium market price and quantity? Measure of the benefits consumers and producers receive given the equilibrium and show graphically. The government is considering placing a price ceiling on monthly...
4. The Indiana Highway Department wants to construct a new rural highway. The engineering team is...
4. The Indiana Highway Department wants to construct a new rural highway. The engineering team is considering two designs: a. Design A calls for a concrete pavement costing $90/ft. with a 20-year life, two paved ditches each costing $3/ft., three box culverts each costing $9,000/mile, annual maintenance costs of $1,800/mile, culvert cleaning costs of $450/mile every five years. Design A has a 20-year life. b. Design B calls for a bituminous pavement costing $45/ft. with a 10-year life, two sodded...
Runaways The FBI has stated that most runaways are females. A recent sampling of 90 cases...
Runaways The FBI has stated that most runaways are females. A recent sampling of 90 cases involving runaways indicated that 63 of them were female. a. What is the inherent question of interest here? b.What might be a reasonable description of the population of interest? c.What is the relevant sample here? d.What is the random variable being evaluated here? e.What is the population parameter of interest? f.What is this parameter’s corresponding sample statistic? g.What is an appropriate research hypothesis to...
Runaways The FBI has stated that most runaways are females. A recent sampling of 90 cases...
Runaways The FBI has stated that most runaways are females. A recent sampling of 90 cases involving runaways indicated that 63 of them were female. a. What is the inherent question of interest here? b.What might be a reasonable description of the population of interest? c.What is the relevant sample here? d.What is the random variable being evaluated here? e.What is the population parameter of interest? f.What is this parameter’s corresponding sample statistic? g.What is an appropriate research hypothesis to...
For a recent year, the numbers of homicides that occurred each month in New York City...
For a recent year, the numbers of homicides that occurred each month in New York City are: 38, 30, 46, 40, 46, 49, 47, 50, 50, 42, 37, 37. Use a 0.05 sig level to test the claim that homicides in New York City are equally likely for each of the 12 months. Is there sufficient evidence to support the police commissioner’s claim that homicides occur more often in the summer when the weather is better?
You're a recent graduate of Champlain College and landed a great job in New York as...
You're a recent graduate of Champlain College and landed a great job in New York as a junior financial analyst for Chuck Schwable, a leading investment firm whose name bears no resemblance to a well known investment firm. Schwable has recently been hired by Giggle, a leading IT corporation, to provide some capital budgeting recommendations for a major building project in downtown Manhattan. This is it...it's your big chance to make a great first impression and show off the skills...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT