A news report stated that the mean distance that commuters in the United States travel each way to work is 14 miles. Assume the standard deviation is 9 miles. A sample of 80 commuters is chosen.   Part 1 of 2 (a) What is the probability that the sample mean commute distance is greater than  13 miles? Round the answer to at least four decimal places.The probability that the sample mean commute distance is greater than 13 miles is

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: From the provided information,Mean (µ) = 162000Standard deviation (σ) = 36000Sample size (n) = 58

Q: The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about…

A: From the provided information, Mean (µ) = 137 mm Standard deviation (σ) = 69 mm

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the…

A: Solution: Let X be the weights of steers in a herd. From the given information, X follows normal…

Q: Americans drank an average of 34 gallons of bottled water per capita in 2014. If the standard…

A: Let the random variable X denote the American drank gallons of bottled water. Given that average…

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: ss, the scores on a test are normally distributed. The middle 68% of the scores fall between 74 and…

A: According to the empirical rule, approximately 68% of the observations fall within 1 standard…

Q: statistics professor reported that the mean score in a recent quiz is 72 and the standard deviation…

A: Solution

Q: Suppose the mean height in inches of all 9th grade students at one high school is estimated.

A: Population standard deviation, σ =3 inches Sample size n=6

Q: A data set has size of 40. How many observations lie within two standard deviations of either sides…

A: The 68-95-99.7% (Empirical) Rule: For a normal distribution, the empirical rule (68-95-99.7% Rule)…

Q: Find the probability that a sample of 18 has a sample mean below 32. The population mean is 24 and…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: A researcher showed the mean of weights of college football players to be 200 pounds with a standard…

A:

Q: The weights of steers in a herd are distributed normally. The standard deviation is 300lbs and the…

A:

Q: Trucks in a delivery fleet travel a mean of 130 miles per day with a standard deviation of 39 miles…

A: The data on per day mileage of a delivery truck is normally distributed. Population mean, Population…

Q: The mean of a test is 400 and the standard deviation is 75. It is normally distributed. A sample of…

A: 1] Mean μ=400 2] standard deviation σ=75 3] n=25 4] μx¯=400σx¯=σn=7525=15

Q: The operation manager at a tire manufacturing company believes that the mean mileage of a tire is…

A: The question is about central limit theorem Given : Popl. mean mileage of a tire ( μ ) = 40097 miles…

Q: Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles…

A:

Q: In company XYZ, the success of an email to land into a spam folder is 4%. If an account received 20…

A: Solution To find the probability we will use Excel  Given data is  n= 20

Q: Proctor & Gamble reported that an American family of four washes an average of 1 ton (2000…

A: Introduction:Here, the suggested population mean, μ = 2,000 pounds.The population standard…

Q: Solve the following problem and show your complete solutions. Explain your answer for better…

A: The length of time that a phone will work before it needs charging is normally distributed with mean…

Q: The lengths of lumber a machine cuts are normally distributed with a mean of 88 inches and a…

A: Given,Mean μ = 88Standard deviation σ = 0.6

Q: poll showed that 55.3% of Americans say they believe that statistics teachers know the true meaning…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard…

A:

Q: The amount of time people spend at the gym follows a uniform distribution from 45 to 90 minutes.…

A: From the provided information, The amount of time people spend at the gym is uniformly distributed…

Q: TV sets: According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013…

A: given  mean μ=2.24 standard deviation σ=1.2 n=80

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the…

A:

Q: The time students take to complete an exam follows a uniform distribution and is between 30 minutes…

A: We have to find given probability.

Q: The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 80…

A:

Q: In the country of United States of Heightlandia, the height measurements of ten-year-old children…

A: Let X : Height of 10 year old children are approx. normally distributed with Mean (μ)=53.3 Standard…

Q: Trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 23 miles…

A: Given that The mean of 90 miles per day with a standard deviation of 23 miles per day.

Q: The mean for a data set is 61. The standard deviation is 4, and the z-score is -0.34. Find the raw…

A: Mean(µ) = 61Standard deviations (σ) = 4 z-score (z) = -0.34 Formula for z-score is given by  z = (x…

Q: Solve the problem. Assume that male Siberian huskies' weights are normally distributed with a mean…

A:

Q: A racing car consumes a mean of 106 gallons of gas per race with a standard deviation of 6 gallons.…

A: It is given that the mean and standard deviation are 106 and 6. The sample size n is 33.By using…