Question

# A survey among freshmen at a certain university revealed that the number of hours spent studying...

A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 35 and standard deviation 7. Find percentile corresponding to p = 36% of the number of hours studying.

Write only a number as your answer. Round to two decimal places (for example: 20.81).

Solution :

Given that,

mean = = 35

standard deviation = = 7

Using standard normal table ,

P(Z < z) = 36%

P(Z < -0.36) = 0.36

z = -0.36

Using z-score formula,

x = z * +

x = -0.36 * 7 + 35 = 32.48

#### Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• ### A survey among freshmen at a certain university revealed that the number of hours spent studying...

A survey among freshmen at a certain university revealed that the number of hours spent studying the week befor final exams was normally distributed with mean 34 and standard deviation 6. Find percentile corresponding the p = 72% of the number of hours studying.

• ### A survey among freshmen at a certain university revealed that the number of hours spent studying...

A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 26 and standard deviation 5. Use the TI-84 PLUS calculator to answer the following. Round the answer to at least four decimal places. (a) What proportion of students studied more than 36 hours? (b) What is the probability that a randomly selected student spent between 13 and 32 hours studying? (c) What proportion of...

• ### now much do you study? A survey among freshmen at a certain university revealed that the number of hours spent stud...

now much do you study? A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 23 and standard deviation 9. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimal places. (a) Find the 94 percentile of the number of hours studying. (b) Find the 29 percentile of the number of hours studying. (c) Between what two...

• ### Question 6 (1 point) A survey among freshmen at a certain university revealed that the number...

Question 6 (1 point) A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 25 and standard deviation 7 What is the probability that a randomly selected student spent between 26 and 40 hours studying? Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage. Your Answer: Answer Question 7 (1.2 points) The...

• ### Question 8 (1 point) A survey among freshmen at a certain university revealed that the number...

Question 8 (1 point) A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 25 and standard deviation 15. A sample of 36 students was selected. What is the probability that the average time spent studying for the sample was between 28.7 and 30 hours studying? Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write...

• ### How much do you study? A survey among freshmen at a certain university revealed that the...

How much do you study? A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 23 and standard deviation 7. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimal places. (a) Find the 93" percentile of the number of hours studying. (b) Find the 31 * percentile of the number of hours studying. (c) Between what...

• ### How much do you study? A survey among freshmen at a certain university revealed that the...

How much do you study? A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 26 and standard deviation 6. Use the Cumulative Normal Distribution Table to answer the following. (a) Find the 97" percentile of the number of hours studying. (b) Find the 32" percentile of the number of hours studying. (c) Between what two values are the middle 84% of the hours...

• ### How much do you study? A survey among freshmen at a certain university revealed that the...

How much do you study? A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 26 and standard deviation 4. Use the TI-84 PLUS calculator to answer the following. Round the answer to at least four decimal places. (a) What proportion of students studied more than 38 hours? (b) What is the probability that a randomly selected student spent between 18 and 32 hours...

• ### a , b , and c THANK YOU !!!!! How much do you study? A survey...

a , b , and c THANK YOU !!!!! How much do you study? A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 29 and standard deviation 9. Use the TI-84 PLUS calculator to answer the following. Round the answer to at least four decimal places. (a) What proportion of students studied more than 40 hours? (b) What is the probability that a...

• ### A sociologist studying freshmen at a major university carried out a survey, asking, among other questions,...

A sociologist studying freshmen at a major university carried out a survey, asking, among other questions, how often students went out per week, how many hours they studied per day, and how many hours they slept at night. The sociologist, who would like a simple random sample but finds it too time?consuming to obtain such a sample, decides to use all students enrolled in his own class. This type of sample: A) is a convenience sample. B) likely results in...