A population of values has a normal distribution with mean of 50.6 and standard deviation of 98.9. You sample 222 values from the population. a) Get the Z-score for a sample mean of 44. For this problem you use the z score (a - µ)Vn formula z = how many the sample mean of 44 is above b) This z-score tells you

The distribution of scores on the SAT is approximately normal with a mean of m = 500 and an SD of s = 100. For the population of students who have taken the SAT, what proportion have scores less than 400?

A population of N=5 scores has a mean of μ=8. After one score is removed, the mean is found to be μ=7. What is the value of the score that was removed?

Suppose we have the data points (0,-3), (5,1), and (10,a). Find a value of a so that the line of best fit is a better model than the mean with 95% confidence or better. Round your answer to three decimal places.

A sample of n=11 scores has a mean of M=9. If one new person with a score of X=4 is added to the sample, what will be the value of the new mean?

A sample of n = 15 scores has a mean of M = 6.  One person with a score of X = 22 is added to the sample. What is the value for the new sample mean?

The Z-score tells you the number of standard deviations away from the mean (and X-μ can be used to find the in what direction) a data value is. The formula: Z Z-score for a single member of the population. Notice X - μ tells you the signed distance the data value (X) is from the mean. When you divide that by the size of each chunk (the standard deviation) you are measuring the distance in units of the size of the standard deviations (how many standard deviations fit in the distance between the data value and the mean) - which gives you the Z-score. σ The formula X = μ+Z. can be used to find the value in the population when given the Z-score (signed number of standard deviations). Notice that Z. tells you how far from the mean the data value is (since Z is the number of standard deviations and is the size of each standard deviation the product tells the total distance). So adding the distance from the mean to the mean gives the location along the number line for the data value. A…

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

This problem is fill in the blank.  Just choose the correct answers.  Thank you for your help   A scientist has read that the mean birth weight, μ, of babies born at full term is  7.2 pounds. The scientist, believing that μ is less than this value, plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 6.9 pounds and the standard deviation to be 1.7 pounds.   Based on this information, answer the questions below. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test? H0:  (choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to.      (choose one)      6.9 pounds, 7.2 pounds, or 1.7 pounds. H1: (Choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to.          (Choose one)     6.9 pounds, 7.2 pounds, or 1.7 pounds.     In the context…

A sample of n = 5 scores has a standard deviation of s = 5. What is the value of SS, the sum of the squared deviations for this sample?