A man who moves to a new city sees that there are two routes he could...
A man who moves to a new city sees that there are two routes he could take to work. A neighbor who has lived there a long time tells him Route A will average 5 minutes faster than Route B. The man decides to experiment. Each day he flips a coin to determine which way to go, driving each route 15 days. He finds that Route A takes an average of 44 minutes, with standard deviation 3 minutes,
and Route B takes an average of 45 minutes, with standard deviation 5 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b.
a) Find a 95% confidence interval for the difference between the Route B and Route A commuting times
The confidence interval is __________.
(Round to two decimal places as needed.)
Homework Answers
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A man who moves to a new city sees that there are two routes he
could...
Two men, A and B, who usually commute to work together decide to conduct an experiment...
Two men, A and B, who usually commute to work together decide to conduct an experiment to see whether one route is faster than the other. The men feel that their driving habits are approximately the same, so each morning for two weeks one driver is assigned to route I and the other to route II. The times, recorded to the nearest minute, are shown in the following table. Using this data, find the 80% confidence interval for the true...
Two men, A and B, who usually commute to work together decide to conduct an experiment...
Two men, A and B, who usually commute to work together decide to conduct an experiment to see whether one route is faster than the other. The men feel that their driving habits are approximately the same, so each morning for two weeks one driver is assigned to route I and the other to route II. The times, recorded to the nearest minute, are shown in the following table. Using this data, find the 98% confidence interval for the true...
step 2: calculate the sample standard deviation from the given sample. round to two decimal places...
step 2: calculate the sample standard deviation from the given
sample. round to two decimal places
step 3: find the critical value that is used in confidence
interval
step 4: construct 80% confidence interval. round to two
decimal place
step 2: find the critical value. round to 3 decimal
place
step 3: find the standard deviation of the paired
differences
step 4:construct 99% confidence interval. round to one decimal
place
A survey of several 9 to 11 year olds recorded...
A musician is writing a new song and wants to know at which tempo he should...
A musician is writing a new song and wants to know at which tempo he should write it to break onto the pop music charts. He takes a random sample of 100 pop songs and finds an average tempo of 131.9 bpm with a standard deviation of 14. Where applicable, use 3 decimals in the following answers. Please carry your intermediate calculations out to 4 decimal places. a) Find the upper limit for a 95% confidence interval for the average...
The commercial for the new Meat Man Barbecue claims that it takes 14 minutes for assembly....
The commercial for the new Meat Man Barbecue claims that it takes 14 minutes for assembly. A consumer advocate thinks that the assembly time is different than 14 minutes. The advocate surveyed 11 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 12.6 minutes. The standard deviation for this survey group was 2.6 minutes. a) What is the Null and alternative hypotheses. b) What can be concluded at the the a = 0.05...
The travel time between two cities is approximately normally distributed with a standard deviation of 2.25...
The travel time between two cities is approximately normally distributed with a standard deviation of 2.25 minutes. You travel 12 times between the two cities, and it takes an average (mean) of 28 minutes. (a) Find a 99% confidence interval for the true mean travel time. (b) If you want for the confidence interval to be no wider than +0.95 minutes, what level of confidence would you need to use?
1) Two hundred randomly selected women in a certain city, including those who are working, were...
1) Two hundred randomly selected women in a certain city, including those who are working, were asked the time they spend in the beauty salon for each visit. The average time was 44 minutes with a standard deviation of 16 minutes. Construct an 80% confidence interval for the mean time spent in the salon by all the women in the city. a.[43.05, 44.95] b.[43.76, 44.24] c.[42.55, 45.45] d.[43.64, 44.36] e.[42.45, 45.55] 2) In order to estimate the mean number of...
Common information 29-33: An inventor has developed a new, energy-efficient lawn mower engine. He claims that...
Common information 29-33: An inventor has developed a new, energy-efficient lawn mower engine. He claims that the engine will run continuously for 5 hours (300 minutes) on a single gallon of regular gasoline. Suppose a simple random sample of 45 engines is tested. The engines run for an average of 290 minutes, assume the population standard deviation is 20 minutes. Test the null hypothesis that the mean run time is at least 300 minutes. Use a left sided test. Use...
Jim Mead is a veterinarian who visits a Vermont farm to examine prize bulls. In order to examine a bull, Jim first gives the animal a tranquilizer shot. The effect of the shot is supposed to last an a...
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pls help The commercial for the new Meat Man Barbecue claims that it takes 10 minutes...
pls help
The commercial for the new Meat Man Barbecue claims that it takes 10 minutes for assembly. A consumer advocate thinks that the assembly time is higher than 10 minutes. The advocate surveyed 13 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 11.6 minutes. The standard deviation for this survey group was 2.3 minutes. What can be concluded at the the a = 0.05 level of significance level of significance? Show...
step 2: calculate the sample standard deviation from the given
sample. round to two decimal places
step 3: find the critical value that is used in confidence
interval
step 4: construct 80% confidence interval. round to two
decimal place
step 2: find the critical value. round to 3 decimal
place
step 3: find the standard deviation of the paired
differences
step 4:construct 99% confidence interval. round to one decimal
place
A survey of several 9 to 11 year olds recorded...
The commercial for the new Meat Man Barbecue claims that it takes 14 minutes for assembly. A consumer advocate thinks that the assembly time is different than 14 minutes. The advocate surveyed 11 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 12.6 minutes. The standard deviation for this survey group was 2.6 minutes. a) What is the Null and alternative hypotheses. b) What can be concluded at the the a = 0.05...
The travel time between two cities is approximately normally distributed with a standard deviation of 2.25 minutes. You travel 12 times between the two cities, and it takes an average (mean) of 28 minutes. (a) Find a 99% confidence interval for the true mean travel time. (b) If you want for the confidence interval to be no wider than +0.95 minutes, what level of confidence would you need to use?
Common information 29-33: An inventor has developed a new, energy-efficient lawn mower engine. He claims that the engine will run continuously for 5 hours (300 minutes) on a single gallon of regular gasoline. Suppose a simple random sample of 45 engines is tested. The engines run for an average of 290 minutes, assume the population standard deviation is 20 minutes. Test the null hypothesis that the mean run time is at least 300 minutes. Use a left sided test. Use...
pls help
The commercial for the new Meat Man Barbecue claims that it takes 10 minutes for assembly. A consumer advocate thinks that the assembly time is higher than 10 minutes. The advocate surveyed 13 randomly selected people who purchased the Meat Man Barbecue and found that their average time was 11.6 minutes. The standard deviation for this survey group was 2.3 minutes. What can be concluded at the the a = 0.05 level of significance level of significance? Show...
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