A division-wide aptitude test in Science was conducted to 1000 pupils. The mean of the test is 58 and the standard deviation is 12. The scores also approximate the normal distribution.   Estimated range of scores that will include the middle 50% of the distribution Estimated range of scores that will include the middle 99% of the distribution

Q: The results of a common standardized test used in psychology research is designed so that the…

A: 1): at given raw score (X=151)      Z score=(X-mu)/sd=-0.8  # mu(population mean)=175  # sd(standard…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: The Z-score can be calculated as: Where, x = raw value µ = mean σ = standard deviation

Q: The distribution of scores on the SAT is approximately normal with a mean of μ = 500 and a standard…

A: Given data,μ = 500σ = 100.

Q: The university campus has a record of temperatures in recent years, which have a mean of 25.5…

A: To test whether the data follows normal distribution or not, let us consider Chi-square test for…

Q: A particular standardized test has scores that have a mound-shaped distribution with mean equal to…

A:

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: A mandatory skills test for high school sophomores has a normal distribution with a mean of 400 and…

A: A mandatory skills test for high school sophomores has a normal distribution with a mean of 400 and…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Given that, Mean = 130 Standard deviation = 20 Raw score = 156

Q: A simple random sample of 36 observations was taken from a large population. The sample mean and the…

A: The sample mean and the standard deviation are μ = 80 and σ = 12 respectively.Let X denotes the…

Q: The final exam scores in a statistics class were normally distributed with a mean of 63 and a…

A: Normal distribution is a distribution with bell shaped curve. This distribution is symmetric about…

Q: Students receive an A+ on a 60 point test if they score 55 points or more.  The marks of a large…

A: Given: X~N(μ,σ)μ=50σ=5

Q: If a distribution has a mean of 50 and a standard deviation of 5, what value would be -1 standard…

A: Given, μ=50σ=5z=-1x=?

Q: The results of a common standardized test used in psychology research is designed so that the…

A:

Q: A mandatory competency test for high school sophomores has a normal distribution with a mean of 400…

A:

Q: A large number of applicants for admission to graduate for study in businesss are given an aptitude…

A: Let X denote the aptitude test scores and it follows normal distribution with mean of μ=400 and…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: From the provided information, Mean (µ) = 175 Standard deviation (σ) = 50 Let X be a random variable…

Q: What proportion of the students scored lower than 80 if the distribution of these grades can be…

A:

Q: A normal distribution has a mean of 80 with a standard deviation of 20 what score separates the…

A: Let x be the score which follows normal distribution with mean 80 and standard deviation 20. The…

Q: The scores on a standardized test are normally distributed with a mean of 90 and standard deviation…

A:

Q: For woman at Hartford college, times to run 400 meters are normally distributed with a mean of 85…

A: Solution: Let X be the time to run 400 meters. From the given information, X follows normal…

Q: What is the raw z-score?

A: Given information Population Mean = mu= 120 Standard deviation = s= 50 Raw score = x =65 Z score = ?

Q: mandatory competency test for high school sophomores has a normal distribution with a mean of 329…

A:

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Given Data; x¯=165σ=50x=145

Q: For a random sample of 90 overweight men, the mean number of pounds that they were overweight was…

A:

Q: Almost all high school students who intend to go to college take the SAT test. In a recent test, the…

A: Let X denotes the SAT scores of all students who take this test. Given that  X follows normal…

Q: The scores on a standardized test are normally distributed with a mean of 110 and standard deviation…

A: The given information is that the score on a standardized test are distributed normally with mean…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Given: μ=105σ=20 The z-score for the raw score 99 is obtained as below: z=x-μσ=99-10520=-620=-0.3…

Q: The scores on a standardized test are normally distributed with a mean of 80 and standard deviation…

A: we have to find  raw score  ...

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

A: Let "X" be the test score. Find z-score (z): The z-score is the measure of how far the standard…

Q: The distribution of SAT scores is normal with a mean of µ = 500 and a standard deviation of σ = 100.…

A: Obtain the SAT score separates the top 25% of the distribution from the rest. The SAT score…

Q: The scores on a standardized test are normally distributed with a mean of 120 and standard deviation…

A: Given that, Mean of 120 Standard deviation of 20.

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Given Data: x¯=160σ=30   x=127

Q: For a random sample of 55 overweight men, the mean of the number of pounds that they were overweight…

A: Given data, n=55 μ=32σ=4.1Point estimate μx=?

Q: The scores on a standardized test are normally distributed with a mean of 85 and standard deviation…

A: Since z-score is a measure of how far the standard deviation is away from the mean (Above/below).…

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Formula for z-score is,

Q: The standard deviation of the scores on a skill evaluation test is 290 points with a mean of 1286…

A: We have to find given Probability.

Q: The distribution will be approximately a normal curve with mean_____and standard deviation_____ .

A: It is given that Mean = 104 And SD = 18 Sample size n = 100

Q: The scores of the students in the final examination are normally distributed with a mean of 72 and a…

A:

Q: A distribution has standard deviation of 41.9 and mean of 74. What is the coefficient of variation?

A: Given standard deviation=41.9 mean=74

Q: The results of a common standardized test used in psychology research is designed so that the…

A:

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Let, X=the results of a common standardized test X follows a normal distribution with mean=140 and…

Q: if an average score of exams was 74 points for 24 students  the 25th student got 64 points whats…

A:

Q: The scores on a standardized test are normally distributed with a mean of 90 and standard deviation…

A: Since z-score is the measure of how far is the standard deviations from the mean. Z-score would be…

Q: A simple random sample of 36 observations was taken from a large population. The sample mean and the…

A:

Q: The results of a common standardized test used in psychology research is designed so that the…

A:

Q: In a national achievement test, the mean was found to be 62 and the standard deviation was 10. The…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The population average of a college test score of students is 100 with a standard deviation of 25.…

A:

Q: The results of a common standardized test used in psychology research is designed so that the…

A: Given, μ = 165 σ = 30 X = 255   The formula for Z score is:…

Q: The population average of a college test score of students is 50 with a standard deviation of 10.…

A:

Q: The results of a common standardized test used in psychology research is designed so that the…

A:

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.