Project #17494 - Probability and Statistic

 

1.  Do you think there is any possible relationship between the grade of Mathematics (x) and English (y)?  Make the all possible calculations you need to answer this question.  Use a=0.05 to do a t test.

 

 

 

 

Mathematic

 

70     92     80     74     65     83

 

English

 

74     84     63     87     78     90

 

 

 

 

 

Instructions

 

0. Hypothesis

 

1. Procedure

 

2. Results

 

 

2.  Assume X is normally distributed with mean of 5 and a standard deviation of 4.  Determine the following.

 

a) P(X<11)

 

b) P(X >0)

 

c) P(3<X<7)

 

d) P(-2<x<9)

 

 

 

Instructions

 

1. Procedure

 

2. Results

 

 

 

 

 

3.  To find out whether a new serum will arrest leukemia, 9 mice, which have all reached an advanced stage of the disease, are selected.  Five mice receive the treatment and 4 do not.  The survival times, in years, from the time experiment commenced are as follows:

 

 

 

 

Treatment

 

2.1     5.3     1.4     4.6     0.9

 

No treatment

 

1.9     0.5     2.8     3.1

 

 

 

At 0.05 level of significance can the serum be said to be effective? 

 

 

 

Instructions

 

0. Hypothesis

 

1. Procedure

 

2. Results

 

 

4.Three cards are drawn from an ordinary deck of playing cards, with replacement, and the number Y of spades is recorded.  After repeating the experiment 64 times, the following outcomes were recorded:

 

 

 

 

x

 

 0         1         2         3

 

frequency

 

21       31      12         0

 

 

 

 

 

 

 

Test the hypotheses of 0.01 level of significance that the recorded data may be fitted by the Poisson with l = 1.2

 

 

 

Instructions

 

0. Hypothesis

 

1. Procedure

 

2. Results

 

5.

  1. An experiment was designed to compare several different types of air pollution monitors.  The monitor was set up, and then exposed to different concentrations of ozone, ranging between 15 and 230 parts per million (ppm) for periods of 8-72 hours.  Filters on the monitor were then analyzed, and the amount (in micrograms) of sodium nitrate (NO3) recoded by the monitor was measured.  The results for one type of monitor are given in the table.

 

 

 

Ozone (x)

0.80

1.3

1.7

2.2

2.7

2.9

NO3 (y)

2.25

5.21

6.07

9.10

10.05

12.16

 

 

 

  1. Fill the blanks

     

    Analysis of Variance

 

Source

Sum Square

DF

MS

f0

Regression

64.126

 

 

 

Error  

 

 

0.375

 

Total 

 

 

 

 

 

 

 

 

 

      

 

 

 

 

 

 

 

 

 

 

 

            b) The following graph represent the Ozone vs NO3.  What can you say about this graph?

 

 

 

6. You have known ACME for a long time or just for reference; well YOLI is the new innovation in running shoe for ACME.  And EL COYOTE is going to test it.  They produce at least every day 1000 pair of YOLI in order to satisfy customers demand.  The weight of this sophisticated running shoe is normally distributed with mean of 12.25 ounces and a variance of 0.25 ounce.

 

 

 

  1. What is the probability that a shoe weights more than 13 ounces?

  2. What is the probability that a shoe weights between 11.50 and 12.95?

  3. What must the standard deviation of weight be in order for the company to state that 99.9% of its shoes are less than 13 ounces?

     

    Instructions

    1. Procedure 8 points

    2. Results 4 points

 

 

 

Subject Science
Due By (Pacific Time) 11/21/2013 05:00 pm
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