The number of days (X) after mailout it takes a utility company to receive payment for a customer’s bill is a normal random variable with a mean of 31 days and a standard deviation of 6 days.The latest 2.5% of bills will be received more than how many days after mailout? 13 19 25 31 37 43 49Question 7Type numbers in the boxes.10 pointsAccording to the Bureau of Labor Statistics, in May 2014 the mean hourly wage of a social worker was $28.08 with a standard deviation of $1.97. Jeronica is a social worker with an hourly wage of $31.60. What is Jeronica’s z-score? (Round your answer to 2 decimal places.)Question 8Select one answer.10 pointsThe time it takes a surgeon to complete a laproscopic surgery to remove the gall bladder is normally distributed with a mean of 132.4 minutes and a standard deviation of 15.7 minutes. A patient’s risk of complications is increased the longer he is in surgery. An unusually risky surgery is one that is in the top 4% of all surgery lengths.What is the minimum surgery length (in minutes) that would be considered unusually risky? Note: Answers are rounded to 1 decimal place. 159.9 minutes 147.5 minutes 104.9 minutes 247.4 minutes
Question
The number of days (X) after mailout it takes a utility company to receive payment for a customer’s bill is a normal random variable with a mean of 31 days and a standard deviation of 6 days.The latest 2.5% of bills will be received more than how many days after mailout? 13 19 25 31 37 43 49Question 7Type numbers in the boxes.10 pointsAccording to the Bureau of Labor Statistics, in May 2014 the mean hourly wage of a social worker was 1.97. Jeronica is a social worker with an hourly wage of $31.60. What is Jeronica’s z-score? (Round your answer to 2 decimal places.)Question 8Select one answer.10 pointsThe time it takes a surgeon to complete a laproscopic surgery to remove the gall bladder is normally distributed with a mean of 132.4 minutes and a standard deviation of 15.7 minutes. A patient’s risk of complications is increased the longer he is in surgery. An unusually risky surgery is one that is in the top 4% of all surgery lengths.What is the minimum surgery length (in minutes) that would be considered unusually risky? Note: Answers are rounded to 1 decimal place. 159.9 minutes 147.5 minutes 104.9 minutes 247.4 minutes
Solution
The text you provided contains multiple questions. Let's answer them one by one.
-
The latest 2.5% of bills will be received more than how many days after mailout? This is a question about finding a percentile in a normal distribution. The z-score for the 97.5th percentile (which leaves 2.5% in the tail) is approximately 1.96. We can use the formula X = μ + Zσ, where μ is the mean, Z is the z-score, and σ is the standard deviation. Plugging in the given values, we get X = 31 + 1.96*6 = 42.76. So, the closest answer is 43 days.
-
What is Jeronica’s z-score? The z-score is calculated as (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation. Plugging in the given values, we get (31.60 - 28.08) / 1.97 = 1.79 (rounded to two decimal places).
-
What is the minimum surgery length (in minutes) that would be considered unusually risky? This is another question about finding a percentile in a normal distribution. The z-score for the 96th percentile (which leaves 4% in the tail) is approximately 1.75. Using the formula X = μ + Zσ, we get X = 132.4 + 1.75*15.7 = 160.075. So, the closest answer is 159.9 minutes.
Similar Questions
The number of days (X) after mailout it takes a utility company to receive payment for a customer’s bill is a normal random variable with a mean of 31 days and a standard deviation of 6 days.About 16% of bills will be received earlier than days after mailout.
The number of days (X) after mailout it takes a utility company to receive payment for a customer’s bill is a normal random variable with a mean of 31 days and a standard deviation of 6 days.The probability is 0.997 that a bill will be received between which of the following number of days? (13, 49) (19, 43) (25, 37)
According to the Bureau of Labor Statistics, in May 2014 the mean hourly wage of a social worker was $28.08 with a standard deviation of $1.97. Jeronica is a social worker with an hourly wage of $31.60. What is Jeronica’s z-score? (Round your answer to 2 decimal places.)
A small computing center has found that the number of jobs submitted per day to its computers has a distribution that is approximately mound-shaped and symmetric, with a mean of 86 jobs and a standard deviation of 12. Where do we expect approximately 95% of the distribution to fall?Group of answer choicesbetween 62 and 110 jobs per daybetween 50 and 122 jobs per daybetween 110 and 122 jobs per daybetween 74 and 98 jobs per day
The amount of time that customers wait in line during peak hours at one bank is normally distributed with a mean of 12 minutes and a standard deviation of 2 minutes. What is the probability that a customer will wait under 14 minutes?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.