The grade point average for ALL juniors at a large college has a standard deviation of 0.50.  A random sample of 20 students is to be used to estimate the population mean grade point average.  What condition do you need to verify prior to computing the probability of obtaining a sample mean within plus or minus 0.2 of the population mean

Q: The cost of textbooks is normally distributed with a mean of $203. You do not know the population…

A: Solution: Let X be the cost of textbook. From the given information, x-bar=$203, s=$48 and n=4.

Q: An IQ test is designed so that the mean is 100 and the standard deviation is 16 for the population…

A:

Q: The math department at a university gives all of the students in a certain math class the same final…

A: Let  denote the student score receive in the final exam.The random variable  follows a normal…

Q: Scores for a standardized test are normally distributed with a mean of 1200 and a standard…

A: given data μ = 1200σ = 60 normal distributionn = 64P(1200<x¯<1214) = ?

Q: The distribution of scores for the third exam in a statistics course has a mean of 74 and a standard…

A: Given Information: Mean, μ=74 Standard Deviation, σ=15 Sample Size, n=36

Q: Using the formulas, calculate the (i) mean and (ii) standard deviation of X.

A: Let p be the probability of shot that scored points. Given that p = 61.3% = 0.613 Given that X= the…

Q: Assume that 26% of students at a university wear glasses. Suppose 300 students are randomly…

A:

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the IQ…

A: Excel formula: =NORMINV(0.305,0,1)=-0.5100

Q: What is the probability that your score on an exam will be less than a 60, if the mean on the exam…

A: We have to find probability that your score on an exam will be less than a 60....

Q: The mean GPA of university students is 2.3 with a standard deviation of 1.2. If you were to draw 36…

A:

Q: The population has a mean of 14 and a standard deviation of 3. The sample size of your sampling…

A:

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: A pet store has 500 rats whose weights have a mean of 16oz with a standard deviation of 1.1 oz. You…

A: Given Data Population Mean,μ = 16.0 Population Standard Deviation,σ = 1.1 sample…

Q: On the final exam in a large statistics class the average score was 76 with a standard deviation of…

A:

Q: About 78​% of all female heart transplant patients will survive for at least 3 years. Ninety…

A: From the given information, the sample size is 90 and the  proportion is 78%. The mean of the sample…

Q: You obtained IMDB scores of all movies and see that they are normally distributed with a mean of 6.7…

A:

Q: Scores on the verbal ability portion of the Graduate Record Examination (GRE) follow a normal…

A: Let X be the verbal ability portion of the Graduate Record Examination (GRE) follow a normal…

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A:

Q: A normal population had a mean of 70 and a standard deviation of 12. You select a random sample of…

A: μ = 70σ = 12n = 9P(x¯>73) = ?

Q: For a population mean of 35, a sample was taken with a mean value of 40 and sample size equal to 30.…

A: Given data,μ=35σ=20x=40n=30P(X>40)=?

Q: he manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A:

Q: In a Scrabble tournament, the scores were normally distributed and the mean score was 420.2 points…

A:

Q: normal population had a mean of 70 and a standard deviation of 12. You select a random sample of 9.…

A: given data normal distributionμ = 70σ = 12n = 9 P(x¯<66) = ?

Q: Brenda has collected data to find that the finishing times for cyclists in a race has a normal…

A: Given the finishing time for cyclists in a race has normal distribution with mean 143 minutes and…

Q: The grades of a statistics midterm are normally distributed with a mean of 79 and a standard…

A: Normal distributionμ=79σ=3.5pgrade between74 and 80=?

Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

A:

Q: A notable indicator of a baby's health is the weight gained in the first year of the baby's life.…

A: From given data we have ;   sample size =15 Point estimate  = 5.658 standard deviation =1.869   here…

Q: On a mathematics test in a high school, scores are normally distributed with a mean of 77 and a…

A: Given that.   X~N( μ , ?^2 )   μ=77     , ?=16.8   Z-score =( x - μ )/?

Q: About 75% of all female heart transplant patients will survive for at least 3 years. Sixty female…

A:

Q: A simple random sample of 100 observations was taken from a large population. The sample mean and…

A: Givensample size(n)=100Mean(x)=81standard deviation(s)=9

Q: A population has a mean of 75 and a standard deviation of 15. You randomly sample 9 from the…

A:

Q: The mean number of words per minute (wpm) typed by a speed typist is 133 with a variance off 144…

A: Given that , = 133, 2 = 144 So , = 12, n = 90 Let  be the mean of sample. = 133  =  /n = 12/90=…

Q: What is the SD of a distribution if the mean is 4.5 and a z score of 3.5 corresponds to a raw score…

A: GIVEN DATA, μ=4.5z score =3.5raw score =x=15standard deviation =σ=?

Q: In a Normal distribution, the average is 45 and standard deviation is 12. What is the probability…

A:

Q: Follow the steps below to construct a 99% confidence interval for the population mean of all the…

A: a) sample size = 16 sample mean = 5.496 sample standard deviation = 1.873 critical value = 2.947…

Q: The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?

A:

Q: Students visiting the cafeteria noticed that the diameters of donuts follow a normal distribution…

A: Let X be the diameter of donut.   a) P(X<3.2)=? b) What is the 40th percentile for the…

Q: Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs.…

A: It is given that the mean is 245.7, the standard deviation is 34.5 and the sample size is 32.

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.