Question

In: Statistics and Probability

tens Units 1 5 2 3 4 8 5 2 5 6 9 6 1 3...

tens	Units
1	5
2
3
4	8
5	2 5 6 9
6	1 3 5 4 7 9
7	0 0 4 5 6 9 9
8	1 3 5 6 8 9
9	0 1 2 3 5 9

The table represent a random sample of 31 test scores taken from a large lecture class. Find the following [round to 2 decimal points X. XX]

a) [2 pts] Find the 5 number summary [L, Q1, Q2, Q3, H]

b) [4 pts] Find the mean and standard deviation.

c) [2 pts] Find the IQR

d) [2 pts] Are there any outliers in the test scores? Explain

e)[ 1 pt] Suppose one student in the sample is randomly selected. What is the probability that this student scored less than 50 [leave as a fraction]

Expert Solution

a) [2 pts] Find the 5 number summary [L, Q1, Q2, Q3, H]

5 Numbers Summary
Min	15.00
Q1	63.50
Median (Q2)	75.00
Q3	87.00
Max	99.00

b) [4 pts] Find the mean and standard deviation

Mean	73.19
Standard deviation	17.58

c) [2 pts] Find the IQR

IQR = 23.50

d) [2 pts] Are there any outliers in the test scores? Explain

There is only one outliers is there in the data set

that is , 15

e)[ 1 pt] Suppose one student in the sample is randomly selected. What is the probability that this student scored less than 50 [leave as a fraction]

z = (x - μ) / σ

z = (50-73.19)/17.58 = -1.32

P(Z < -1.32) = 0.0934

Procedures:

Formula Ref:

orchestra answered 2 years ago

x 2 8 5 9 4 3 9 6 7 8 y 3 6 5 7...

x 2 8 5 9 4 3 9 6 7 8 y 3 6 5 7 9 7 4 6 9 9 -5.48x + 0.17 5.48x + 0.17 -0.17x + 5.48 0.17x + 5.48

3 6 4 8 1 10 2 9 11 12 15 22 3 6 7 5...

3 6 4 8 1 10 2 9 11 12 15 22 3 6 7 5 8 1 12 14 Each column represents a different treatment given to sick rats. Each cell is a different rat. Use statistical analysis and use post hoc testing using contrasts to find the best treatment. Treatment 1: vitamins Treatment 2: prescription pills Treatment 3: brain surgery Treatment 4: shock therapy Treatment 5: dietary changes

Using the same data… 2 3 4 4 4 6 6 6 7 8 8 9...

Using the same data… 2 3 4 4 4 6 6 6 7 8 8 9 10 10 11 12 16 16 28 46 (d) [5 pts] Determine the 5# summary. (e) Determine the lower and upper fence to determine if there are any outliers. (f) Draw and carefully label a modified boxplot for this data. (g) What is the shape of the distribution (symmetric, skewed left, or skewed right). Explain.

Consider the following set of observations: Obs. 1 2 3 4 5 6 7 8 9...

Consider the following set of observations: Obs. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 input 1 2 3 4 5 6 7 8 9 10 11 12 13 14 result 1 2 3 5 8 13 21 34 55 89 144 233 377 610 Enter the data in L1 and L2 in your TI calculator, find the regression line, and construct a scatterplot with the regression line included. Does a line appear to...

Hexadecimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C,...

Hexadecimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. How many hexadecimal strings of length twelve have five A’s and five B’s? How many hexadecimal strings of length twelve have at most three E’s? How many hexadecimal strings of length twelve have exactly three A’s and at least two B’s? How many hexadecimal strings of length twelve have exactly two A’s and exactly two B’s, so that the two...

Consider the matrix list x = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]. Write...

Consider the matrix list x = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]. Write a list comprehension to extract the first column of the matrix [1, 4, 7]. Write another list comprehension to create a vector of twice the square of the middle column.

Year 1 2 3 4 5 6 7 8 9 10 A 1 1.01 1.0201 1.0303...

Year 1 2 3 4 5 6 7 8 9 10 A 1 1.01 1.0201 1.0303 1.0406 1.0510 1.0615 1.0721 1.0829 12.0305 B 1 .9900 .9801 .9703 .9606 .9510 .9415 .9321 .9227 10.0487 Assume a purchase price of $10 Million for both properties. (a) What is the expected total return (IRR) on a 10-year investment in each property? Use a financial calculator or equation solver for this. (b) If the 10% cap rate represents a fair market value for each...

In a deck of 52 playing cards (A, 2, 3, 4, 5, 6, 7, 8, 9,...

In a deck of 52 playing cards (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K in each four suits), What is the probability of selecting a black (i.e., club or spade) king card? Without replacement means the card IS NOT put back into the deck. What is the probability that when two cards are drawn from a deck of cards without replacement that both of them will be 8’s? What is the probability of being...

Table: x: 6, 2, 15, 9, 12, 5, 8 y: 8, 9, 4, 7, 6, 9,...

Table: x: 6, 2, 15, 9, 12, 5, 8 y: 8, 9, 4, 7, 6, 9, 8 1) Make the scatter diagram. 2) Find the equation of the regression line using the formulas given in class. They must appear the intermediate steps of substitutions. Round the answers to three decimal places. 3) Find the correlation coefficient using the formulas given in class. Steps should appear intermediates of substitutions. Round the answer to three decimal places. 4) Find the value predicted...

3, 7, 8, 5, 6, 4, 9, 10, 7, 8, 6, 5 Using the previous question...

3, 7, 8, 5, 6, 4, 9, 10, 7, 8, 6, 5 Using the previous question 's scores, If three points were added to every score in this distribution, what would be the new mean? If three points were added to every score in this distribution, what would be the new standard deviation. Remember, you have already calculated population standard deviation in a previous problem. This problem requires two answers.