### Probability and Statistics Review#### Instructor: Jane Jackson**Problem:**The number of ounces of water a person drinks per day is normally distributed with a standard deviation of 15 ounces. If Sean drinks 88 ounces per day with a z-score of 1.6, what is the mean ounces of water a day that a person drinks?_Answer:_ _______**Explanation:**To solve this problem, use the z-score formula:\[ z = \frac{(X - \mu)}{\sigma} \]Where:- $ z $ is the z-score- $ X $ is the value in question (88 ounces)- $ \mu $ is the mean- $ \sigma $ is the standard deviation (15 ounces)Rearrange the formula to solve for the mean ($ \mu $):\[ \mu = X - z\sigma \]Substitute in the known values:\[ \mu = 88 - (1.6 \times 15) \]\[ \mu = 88 - 24 \]\[ \mu = 64 \]So, the mean ounces of water a person drinks per day is 64 ounces.

Name: ### Probability and Statistics Review#### Instructor: Jane Jackson**P
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ### Probability and Statistics Review#### Instructor: Jane Jackson**Problem:**The number of ounces of water a person drinks per day is normally distributed with a standard deviation of 15 ounces. If Sean drinks 88 ounces per day with a z-score of 1.

Answered: Image /qna-images/answer/5804884e-da3d-495c-97aa-9308241e9e8f.jpg

Math

Algebra

The number of ounces of water a person drinks per day is normally distributed with a standard deviation of 15 ounces. If Sean drinks 88 ounces per day with a z- score of 1.6, what is the mean ounces of water a day that a person drinks? Submit

The number of ounces of water a person drinks per day is normally distributed with a standard deviation of 15 ounces. If Sean drinks 88 ounces per day with a z- score of 1.6, what is the mean ounces of water a day that a person drinks? Submit

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

The distribution for the time a patient of a medical center spends waiting for an appointment is normal with mean of 35 minutes and standard deviation of 12 minutes. What proportion of patients will wait more than 47 minutes for an appointment?
The average age of Amtrak passenger train cars is about 20 years. If the distribution of ages is normal and 10% of the cars are older than 24 years, find the the standard deviation.
The distribution for the time a patient of a medical center spends waiting for an appointment is normal with mean of 35 minutes and standard deviation of 12 minutes. How many minutes wait time represents the 80th percentile?
The average length of one month old infants is 21. 52 inches with the standard deviation of one. 02 at his one month check up Kyle measures in the 25. 47 percentile how long is Kyle.
The average monthly sales of 2500 firms are normally distributed with mean $30000 and standard deviation of $15000. Find the number of firms with sales below $35000.
Blood pressure is distributed Normally, with a mean of 85 mm and a standard deviation of 20 mm. What fraction of the population has a blood pressure above 80 mm?
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 68 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 65 miles per hour and 71 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately nothing% of vehicles travel between 65 miles per hour and 71 miles per hour.
The time to smoke fish is normally distributed with an average of 5.3 hours and a standard deviation of 2.1 hours. What is the z score for a fish that take 10 hours to smoke?
The serum cholesterol levels for men in one age group are normally distributed with a mean of 178.1 and a standard deviation 40.5. All units are in mg/10 mL. Find the 40th The annual precipitation for one city is normally distributed with a mean of 26.8 inches and a standard deviation of 3.2 inches. What precipitation amounts will contain 99.7% of the observations?
According to data for a population, 3-year-old boys have a mean height of 39 inches and a standard deviation of 2 inches. Assume the distribution is approximately Normal. Find the percentile measure for a height of 41 inches for a 3-year-old boy
the average hourly wage of production workers in manufacturing in 2007 was $17.41.Assume the variable is normally distributed. If the standard deviation of earning is$3.72, find the percent of production workers who Earned more than $18.55