For the following, scores on psychology exam were normally distributed with a mean of 67 and a standard deviation of 8. Find the following    1. if 500 students took the exam, approximately how many students scored between a 70 and an 80? 2. If a student scored a 95 on the exam, what percentile are they in 3. find the score on the test for a student if they were in the 42.07th percentile

Q: Which of the following are measures on positions of a data set? 1. the third qurtile 2. the median…

A: The third quartile, the median and the maximum measures the positions of a data set.

Q: For the data in the following sample: 1,1,9,1 A. Find the ss, variane, and standard deviation. B.…

A: Given data: 1,1,9,1

Q: Use the following data to answer the first two questions. The test scores for a sample of five…

A:

Q: Use the following data to answer A&B.  The test scores for a sample of five randomly chosen…

A:

Q: Suppose your statistics professor graded your test with a Z Score.  You earned a 3.25 on a test with…

A: Answer:- Given, Mean, µ = 71  Standard deviation, σ = 8  And Z-score = 3.25  We need to find the…

Q: Suppose that the exam scores of a statistics class were normally distributed with a mean of 94 and…

A: Solution: Let X be the exam score of a statistics class. From the given information, X follows…

Q: IQ scores have a mean of 100 and a standard deviation of 15. What percentile corresponds to an IQ…

A: Given that Mean =100  Standard deviation =15  We have to the percentile  corresponding to an IQ…

Q: he senior class has been given a comprehensive examination to assess educational experience. The…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

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: The scores at a golf course recorded last year followed a normal distribution with mean 78 and…

A:

Q: This is used for the next few questions: The rating for the new scary movie has a scale of 0 to 10.…

A: The normal distribution curve corresponding to mean 8.3 and standard deviation 0.5 including the…

Q: On a nationwide math test, the mean was 63 and the standard deviation was 10. If Roberto scored 85,…

A: GivenMean(μ)=63standard deviation(σ)=10score(x)=85

Q: Angela polled her first grade class about their family pets. The following data lists the number of…

A:

Q: There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on…

A: From the provided information, For ACT score: Mean (µ) = 21.5 Standard deviation (σ) = 5.4 For SAT…

Q: The scores on the Wechsler Adult Intelligence Scale are approximately Normal, with  = 100 and  = 11.…

A: The scores on the Wechsler Adult Intelligence Scale are approximately Normal

Q: Laura learned that the average GPA in her school is 3.6 with a standard deviation of 0.3. If her GPA…

A: From the given information,   Mean = 3.6 Standard deviation = 0.3   The objective is to find the…

Q: You want to know the percentage of utility companies that earned revenue less than 39 million or…

A: Given data You want to know the percentage of utility companies that earned revenue less than…

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

A:

Q: On a nationwide math test, the mean was 72 and the standard deviation was 7. If Roberto scored 70,…

A: Given that,Mean = 72Standard deviation = 7And X=70

Q: 20. For the data in the following sample: 10, 6, 8, 6, a. Find the mean and the standard deviation.…

A: 20. a. The mean of the sample is, x¯=∑ixin=10+6+8+6+55=355=7 Thus, the mean of the sample is 7. The…

Q: For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 33 beats…

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

Q: Use the table to find the standard score and percentile of the following data values. a. A data…

A: We will use the given table to solve the problem.

Q: Create your Data Set. These are your X-values: 1. Choose a number between 50 and 100. And write your…

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Q: On a nationwide math test, the mean was 51 and the standard deviation was 4. If Roberto scored 85,…

A: We have given the mean and standard deviation of a nationwide math test.Mean μ = 51Standard…

Q: On a nationwide math test, the mean was 72 and the standard deviation was 7. If Roberto scored 90,…

A: Given that, Mean = 72 Standard deviation = 7

Q: he scores on a psychology exam were normally distributed with a mean of 65 and a standard deviation…

A: Given,μ=65σ=6

Q: Assume that adults have IQ scores that are normally distributed with a mean of 105   and a standard…

A: It is given that the mean and standard deviation are 105 and 15, respectively.

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.