1.A particular leg bone for dinosaur fossils has a mean length of 5 feet with a standard deviation of 3 inches. What is the z-score that corresponds to a length of 62 inches?

Q: I am having problems calculating the population variance. I am okay for the first 4 steps in the…

A: Variance tell us about the spread of the data distribution. Population variance tell us about how…

Q: The scores on the board are Normally distributed with a mean of 67 and a standard deviation of 13.…

A: From the provided information,X~N (67, 13)The bottom 5% of students will fail.

Q: Why is the standard deviation preferable to the range as a measure of variation?

A: A range is the most common and easily understandable measure of dispersion. It is the difference…

Q: A data set is normally distributed with a mean of 67 and a standard deviation of 12. What percent of…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: Suppose the exam average in a class is 82% with a standard deviation of 6. What proportion of…

A:

Q: Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of…

A:

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: The salaries of a company's employees are normally distributed with mean 15000 and standard…

A:

Q: If the main level of snowfall for Boston Massachusetts is 44 inches per year and the standard…

A:

Q: The weights of tablets are normally distributed with mean 254 mg and standard deviation 4 mg.  What…

A:

Q: In a particular survey of internet users, 3713 respondents say that they use social networking sites…

A: We want to find the probability

Q: The distribution of the weights of dogs at a local rescue shelter is Normal, with a mean of 38…

A:

Q: Deforestation along the Sierra Madre mountains have been especially notorious. The average number of…

A: Given that.   X~N( μ , ?)   μ=4373    , ?=610   Z-score =( x - μ )/?

Q: The weights of tablets are normally distributed with mean 254 mg and standard deviation 4 mg.  What…

A: We have given , Mean(u) = 254 mg. Standard deviation (sigma) = 4 mg. We have to find  What…

Q: A test score of 45 has an equivalent standard score (z-score) of 1.6. If the mean test score is 39,…

A: given dataraw score  x = 45standard score   z = 1.6mean μ = 39S.D.  σ = ?

Q: Use Chebyshev's Theorem to find what percent of the values will fall between 120 and 150 for a data…

A: The percentage of observations that are within k std dev. of the mean is 100(1-1k2)%

Q: The heights of women are approximately Normal with mean 63.7 inchs and standard deviation 2.5…

A: Given information For Women Mean (µ1) = 63.7 inches Standard deviation (σ1) = 2.5 inches For men…

Q: The heights of women in a particular community are normally distributed with a mean of 65 inches and…

A: We have to find given proportion..

Q: How high must a 2016 Vehicles gas mileage be to fall in the top 15% of all vehicles? normal mean is…

A: Given information: normal mean is 23.0mpg standard deviation is 4.9mpg

Q: A quantitative data set of size 80 has mean 45 and standard deviation 2. Approximately how many…

A: The given values are, The formula for calculating the value of k is, The values of k are,

Q: The distribution of scores is approximately normal with a mean of 31 and a standard deviation of 5.…

A:

Q: he mean on an exam is 80 with a standard deviation of 5 points. If Joe scored a 90 on the exam, what…

A: given data, μ=80σ=5x=90 z score for the given data=?

Q: The cholesterol level of group of young women at a university are normally distributed, with a mean…

A: a) From the given information, the value of mean μ=185 and standard deviation is σ=39. Obtain…

Q: For a social club, the members had a mean age of 68 and a standard deviation of 10 years.  What is…

A: The mean is 68 and the standard deviation is 10.

Q: H=34, o=4.5, the score is 2.5 standard deviations above the mean

A: Suppose the variable of interest is x.The mean is and the standard deviation is .

Q: Left handed & right handed players on a baseball team Nominal Ordinal Interval Ratio

A: There are two types of data: Quantitative and Qualitative, Quantitative data is a set of values…

Q: How is standard deviation a measure of distance?

A: We know that the standard deviation is the measure of the dispersion of data which is based on…

Q: What is the mean area in sq. m. of subdivision lots when the standard deviation is 10sq. m. and the…

A: The z-score is referred to as the standard score. It is positive, if it is above the mean, and…

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.