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- Help please.Monthly Home Rent The average monthly rent for a one-bedroom home in San Francisco is $1229. A random sample of 15 one-bedroom homes about 15 miles outside of San Francisco had a mean rent of $1350. The population standard deviation is $250. At a 0.05, can we conclude that the monthly rent outside San Francisco differs from that in the city? Source: New York Times Almanac, a. Solve using the traditional approach. b. Confirm your answer to part a using the P – value approach.Here are the monthly wage scales of 8 workers from XYZ Knit Works. 15 13 18 12 21 13 26 22 a. Determine the mean of the workers' wages. Answer in exact fraction, or rounded to at least 4 decimal places b. Determine the variance of the workers' wages. Answer in exact fraction, or rounded to at least 4 decimal places
- Gestation Periods of Humans. Gestation periods of humans have a mean of 266 days and a standard deviation of 16 days. Let y denote the variable "gestation period" for humans.a. Find the standardized variable corresponding to y.b. What are the mean and standard deviation of the standardized variable?c. Obtain the z-scores for gestation periods of 227 days and 315 days. Round your answers to two decimal places.d. Interpret your answers in part (c).Running speed for adult men of a certain age group is known to follow a normal distribution, with mean 5 miles per hour and standard deviation 0.8. Jim claims he run faster than 80% of adult men in this age group. What speed would he need to be able to run for this to be the case? Give your answer accurate to two digits past the decimal point.A uniform distribution has endpoints 4 and 18. A. What is the mean? B. What is the standard deviation, reporting to 2 decimal places? C. What is P(x = 5)? D. What is the 90th percentile, reporting to 1 decimal place?
- Please answer correctly and show the complete solution, Thank you.Assume that adults have IQ scores that are normally distributed with a mean of 98.4 and a standard deviation 18.1. Find the first quartile Q₁, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.) wwwIf a question has a formula given, please use the one provided. Give me detail and proper solution.
- Apply the Empirical Rule to solve the following: The weight of a newborn manatee calf is normally distributed with a mean of 66 lbs and a standard deviation of 4 lbs. (Do NOT overuse the calculator on this problem. Apply the Empirical Rule.) a.Draw and label the normal curve. (Don’t forget the word label on the x-axis) b.What percent of manatee calves have a birth weight between 54 and 78 lbs? c. What percent of manatee calves have a birth weight of more than 74 lbs? d .What is the birth weight of the middle 68% of manatee calves? e. What percent of manatee calves weigh more than 58 lbs at birth? f. How much do the smallest 0.15% of manatee calves weigh at birth? g. What percent of manatee calves weigh less than 62 lbs at birth? h. What percent of manatee calves weigh 66 lbs or more at birth?B. Solve the following problems. 1. The mean number of hours a Filipino worker spends on the computer is 3.1 hours per workday. Assume the standard deviation is 0.5 hour and is normally distributed, how long does a worker spend on the computer if his z-score is 1.2? 2. Each month, a Filipino household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. Determine the z-score of a household that generates 22 pounds of newspaper. 3. The Candelaria Automobile Association reports that the average time it takes to respond to an emergency call is 30 minutes. Assume the variable is normally distributed and the standard deviation is 4.5 minutes. How long will a call be responded if it has a z-score of 0.75? d 4. The average monthly salary for newly - hired teachers is P21,945. If the distribution is approximately normal with a standard deviation of P3250. How much will a teacher earn in a month if his salary has a z-score of 1.15?Solve the following. Show the complete solution. 1. The daily income of bank auditors in SSS Commercial Bank is normally distributed with a mean ₱675 and a standard deviation of ₱50. What is the z value for the income X of a bank auditor who earns ₱750 daily? For an auditor who earns ₱550 daily? 2. The length of time needed for service a motorcycle at ETS Service Station is normally distributed with a mean of 6.5 minutes and standard deviation of 1.5 minutes. What is the probability that a randomly selected motorcycle will require more than 7 minutes of service or under 5.5.minutes of service?