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1. You have made 10 observations of the price of a good. The results are shown below: 120 156 132 141 127 136 129 144 136 142 a) Find the mean of the observations. b) Find the range of the observations. c) Find the sample variance and standard deviation

1. You have made 10 observations of the price of a good. The results are shown below: 120 156 132 141 127 136 129 144 136 142 a) Find the mean of the observations. b) Find the range of the observations. c) Find the sample variance and standard deviation

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. You have made 10 observations of the price of a good. The results are shown below: 120 156 132 141 127 136 129 144 136 142 a) Find the mean of the observations. b) Find the range of the observations. c) Find the sample variance and standard deviation 2. Over the period of 1 year, a greengrocer sells tomatoes at six (6) different prices (X pence per kilogram). He calculates the average number of kilograms, Y, sold per day at each of six different prices. From these data the following are calculated: Σχ = 250 Σy = y = 486 36 Σy¹² = 3,284 [x² x² = 7,300 Σ xy = 12,565n = 6 a) Calculate and interpret the Coefficient of Correlation between the prices of tomatoes (pence per kilogram) and the daily average kilogram sold. 3. Amarket trader sells ball-point pens on his stall. He sells the pens for a different fixed price, x pence, in each of six weeks. He notes the number of pens, y, that he sells in each of these six weeks. The results are shown in the table below: y 10 68 15 60 20 55 25 48 30 38 35 32 900 00 D
Transcribed Image Text:1. You have made 10 observations of the price of a good. The results are shown below: 120 156 132 141 127 136 129 144 136 142 a) Find the mean of the observations. b) Find the range of the observations. c) Find the sample variance and standard deviation 2. Over the period of 1 year, a greengrocer sells tomatoes at six (6) different prices (X pence per kilogram). He calculates the average number of kilograms, Y, sold per day at each of six different prices. From these data the following are calculated: Σχ = 250 Σy = y = 486 36 Σy¹² = 3,284 [x² x² = 7,300 Σ xy = 12,565n = 6 a) Calculate and interpret the Coefficient of Correlation between the prices of tomatoes (pence per kilogram) and the daily average kilogram sold. 3. Amarket trader sells ball-point pens on his stall. He sells the pens for a different fixed price, x pence, in each of six weeks. He notes the number of pens, y, that he sells in each of these six weeks. The results are shown in the table below: y 10 68 15 60 20 55 25 48 30 38 35 32 900 00 D
a) Calculate and interpret the values for beta (slope coefficient) and alpha (intercept) for the Least Squares Regression Line. b) Write out the regression equation. c) If the market trader sells the pens for 28 dollars in week 7, how many pens will the market trader sell for that week? Question 4 Two thousandrandomly selected adults were asked whether or not they have ever shopped on the Internet. The following table gives a two-way classification of the responses. Have Shopped Have Never Shopped Total Male 500 700 1200 Female 300 500 800 Total 800 1200 2000 a) If one adult is selected at random from these 2000 adults, find the probability that this adult: i. has never shopped on the Internet. ii. is a male. 111. has shopped on the Internet given that this adult is a female. iv. is a male given that this adult has never shopped on the internet. b) Are the events "Have shopped" and "Male" mutually exclusive? Why or why not? c) Are the events Male" and "Male" mutually exclusive? Why or why not? d) Are the events "Female" and "Have Shopped" independent? Why or why not?
Transcribed Image Text:a) Calculate and interpret the values for beta (slope coefficient) and alpha (intercept) for the Least Squares Regression Line. b) Write out the regression equation. c) If the market trader sells the pens for 28 dollars in week 7, how many pens will the market trader sell for that week? Question 4 Two thousandrandomly selected adults were asked whether or not they have ever shopped on the Internet. The following table gives a two-way classification of the responses. Have Shopped Have Never Shopped Total Male 500 700 1200 Female 300 500 800 Total 800 1200 2000 a) If one adult is selected at random from these 2000 adults, find the probability that this adult: i. has never shopped on the Internet. ii. is a male. 111. has shopped on the Internet given that this adult is a female. iv. is a male given that this adult has never shopped on the internet. b) Are the events "Have shopped" and "Male" mutually exclusive? Why or why not? c) Are the events Male" and "Male" mutually exclusive? Why or why not? d) Are the events "Female" and "Have Shopped" independent? Why or why not?
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Two thousand randomly selected adults were asked whether or not they have ever shopped on the Internet. The following table gives a two-way classification of the responses.

 

 

Have Shopped

Have Never Shopped

Total

Male

500

700

1200

Female

300

500

800

Total

800

1200

2000

 

a) If one adult is selected at random from these 2000 adults, find the probability that this adult

  1. has never shopped on the Internet =
  2. is a male =
  3. has shopped on the Internet given that this adult is a female =
  4. is a male given that this adult has never shopped on the internet = 

 

B) . Are the events “Have shopped” and “Male” mutually exclusive? Why or why not?

C) Are the events “Male” and “Male” mutually exclusive? Why or why not? 

D) Are the events “Female” and “Have Shopped” independent? Why or why not?

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Kindly assist with questions 2 - 4

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