The distribution of grades in a final exam conforms to the normal distribution with an average of 60 and a standard deviation of 8. Since the students taking the exam are 350 people, it is required to pass 300 of them. What is the lowest grade required to pass?

Q: The mean score on a standardized test is 540 with a standard deviation of 55. What percent of…

A: Given mean= 540 Standard deviation=SD= 55 We have to find the z value of 625.

Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: If the average weight for cats is 12 pounds and the standard deviation is 2 pounds. 95 percent of…

A: Given data:  average weight for cats = 12 pounds standard deviation = 2 pounds. To find: 95 % of all…

Q: A student has taken a 50-point exam and wants to know how his score of 38 compares to the scores of…

A: It is given that Mean = 40 Standard deviation SD = 4 Score X = 38

Q: The distribution for the time a patient of a medical center spends waiting for an appointment is…

A: Solution: Let X be the time a patient of a medical center spends waiting for an appointment. From…

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

A: Solution: Let X be the adults IQ score has normally distributed with mean μ=100 and standard…

Q: The class mean for the exam was 82 with a standard deviation of 6.  There are 37 students in the…

A: We have given that, Mean = 82 , standard deviation σ = 6  sample size n = 37   Standard error of the…

Q: A recent poll found that 59% of adults believe the state of moral values is poor. For 400 randomly…

A: Here, n = 400 and p = 0.59

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: At Northwest Nursing School, the average score a student must make on and entrance exam is 142…

A: The objective of this question is to find the cutoff score that a nurse must make to be considered…

Q: The scores on a standardized test are normally distributed with a mean of 95 and standard deviation…

A: Given that, The scores on a standardized test are normally distributed with, Mean = 95 Standard…

Q: The chloride concentration in the blood (mmol / liter) averages 104 with a standard deviation of 5.…

A: Given Data: Let X represent the random variable   X~ Normal (104, 52) n=200 Therefore, X¯ ~ Normal…

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

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

A: Solution

Q: The average score on the Stats midterm was 70 points with a standard deviation of 6 points,…

A: Given that.   X~N( μ , ?)   μ=70    , ?=6  , Z-score = -1   Z-score =( x - μ )/?

Q: he mean life of a battery is 50 hours with a standard deviation of 7 hours. The manufacturer…

A: Given data,Mean μ=50standard deviation σ=7P(X<40)=?

Q: The average score of all golfers for a particular course has a mean of 76 and a standard deviation…

A: We have given information with the usual notation, Let X denote the score of golfers for a…

Q: The distribution for the time a patient of a medical center spends waiting for an appointment is…

A: Given data, μ=35σ=12P(X>60)=?

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

A:

Q: A random sample of 100 male students is drawn from a particular class. The mean and standard…

A:

Q: A standardized test has a pop. mean of 152 and a standard deviation of 16. Molly scores at the 91st…

A:

Q: In my Biology Class, to pass the course the minimum score must be 67. Biology class has a mean of…

A: Let, X= scores of the biology class Given that X follows a normal distribution with mean= 81 and…

Q: have a mean GPA of 2.57 with a standard deviation of 0.71. how many of the 850 new students have a…

A: Given that.   X~N( μ , ?)   μ=2.57   , ?=0.71    Z-score =( x - μ )/?

Q: standardized test has a pop. mean of 152 and a standard deviation of 16. Jenny's z score is -0.56…

A: Given that Jenny's z score= -0.56, Nicole's z score=1.13

Q: The mean of a test score was 21.2 and the standard deviation was 5.1 . Identify the rest scores that…

A: Given Data Mean µ= 21.2. Standard Deviation σ= 5.1. Assuming that the given data is obtained from a…

Q: on first math exam , the class average was 90 with a standard deviation of 10. you scored an 100.…

A: The class average was 90 with a standard deviation of 10. That is, μ=90,σ=10. He scored an 100. That…

Q: A line for tickets to a broadway show had a mean waiting time of 20 minutes with a statistic…

A: Given: Mean,  μ=20 Standard deviation, σ=5 Sample size, n= 200 Use normal approximation here, the…

Q: An instructor in a large lecture class found, at the end of the semester, that the total point…

A: The provided information is:

Q: Americans (on average) individually eat 16 pounds of seafood each year with a standard deviation of…

A: Given that   x̄ = 14 , μ = 16 , ? = 7 , n = 4

Q: The data in a data set are normally distributed with a mean of 190 and a standard deviation of 30.…

A: ∗Mean μ=190    standard  deviation σ=30    X~N 190,30 we need to find,   PX<130+PX>250=P…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.