Question

Find the following percentiles: 60th and 95th

Values 90, 90, 100, 110, 110, 110, 110, 110, 110, 120, 120, 130

Answer #1

Solution:

Given that,

Arranging Observations in the ascending order, We get :

90,90,100,110,110,110,110,110,110,120,120,130

Here, n = 12

P_{60} = ( 60 ( n + 1 ) /100 )^{th} Value of
Observations

= ( 60 * 13/100 )^{th} Value of
Observations

= 7.8^{th }Value of Observations

=7^{th} Observations + 0.8^{th} ( 8^{th}
- 7^{th} )

= 110 + 0.8 (110 - 110 )

= 110 +0.8 (0 )

= 110 + 0

= 110

P_{60} = 110

P_{95}

Arranging Observations in the ascending order, We get :

90,90,100,110,110,110,110,110,110,120,120,130

Here, n=12

Since there are 12 values, then n=12.

Now, calculate the index i= p /100*n

= 95 /100*12 = 11.4.

Since index i is not an integer, round up: i = 12.

The percentile is at the position i=12: it is 130.

P_{95} = 130

2. Use the SAS profit function to find the following percentiles
for a normal random variable with mean 500 and standard deviation
100.
a. 5th percentile
b. 50th percentile
c. 80th percentile
d. 95th percentile

1) Create a 99% confidence interval for the proportion of
cereals that have 100 CALORIES or less per serving based on the
samples provided.
n=40
70
120
70
50
110
110
110
130
90
90
120
110
120
110
110
110
100
110
110
110
100
110
100
100
110
110
100
120
120
120
110
110
140
110
160
140
130
120
50
50

10.
The blood pressure of 10 students are as follows:
100, 110, 120,
150, 190, 220, 130, 120, 110, 90
10a.What is the mean blood pressure?
10b.What would be the standard deviation of the above blood
pressures?
10c. How many data points you can find within 2 standard
deviations of the mean?
10d. What would be the first and the third quartiles for the
blood pressure data?
10e.Obtain the interquartile range.
10f. Based on your quartiles and interquartile range, how...

xi
135
110
130
145
175
160
120
yi
145
100
125
120
135
130
110
I need the standardized residual for this data, with my answer
rounded to 2 decimal points
I did data analysis in excel, I ran a regression using standardized
residuals, but only "observation 3= 0.49" is coming out correctly.
What am I not understanding about this concept, I followed the
instructions on excel and the video.

The values of 2 variables x and y are given as below.
x 150 120 130
125 140 110 125
160
y 90 66
70 95 82
90 100 88
The linear correlation coefficient between x and y is
Select one:
a. 0.090
b. -0.247
c. 0.247
d. -0.090
e. None of the other answers in necessary true.

Please solve and explain all questions
Exchange rate (yen per $)
90
100
110
120
130
140
Quantity Supplied in U.S. $’s (Billions)
20
30
40
50
60
70
Quantity Demanded in U.S. $’s (Billions)
80
70
60
50
40
30
(a) What is the equilibrium exchange rate yen per dollar
(how many yen do you get for a dollar)?
(b) What is the equilibrium exchange rate in dollars per
yen (how many dollars do you get for a yen)?...

Find a 90% confidence interval for a population mean μ for these
values. (Round your answers to three decimal places.)
(a)n = 130, x = 0.82, s2 = 0.085
______ to _______
(b)n = 40, x = 22.7, s2 = 3.19
_______ to _______

a new ‘partial correlation’
1.Describe a normal bell-shaped curve showing a mean
of 100, a standard deviation of 10 and the percentages of scores
that would fall at each standard deviation.
What % of values will fall between 90-110?
What % of values will fall between 80-120?
What % of values will fall between 70-130?
2. In a distribution with a mean of 200 and a standard
deviation of 20 what is the probability that someone will
score at or...

Calculate the 20th, 50th, and 80th percentiles for the following
data set: (Use the methodology shown in Section 3.2 of the
text to calculate the percentiles. Do not round intermediate
calculations. Round your final answers to 1 decimal
place.)
120
215
187
343
268
196
312

How do I find the raw score on the SAT that corresponds to each
of the following percentiles?
40th, 80th, 65th and 95th
Here is the original question"Find the raw score on the SAT that
corresponds to each of the following percentiles" I found this
equation but im not sure if its correct or how to use it, X = μ +
zσ Thanks!

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