1. You have made 10 observations of the price of a good. The results are shown below:120156132 141 127 136 129 144 136 142a) Find the mean of the observations.b) Find the range of the observations.c) Find the sample variance and standard deviation2. Over the period of 1 year, a greengrocer sells tomatoes at six (6) different prices (X penceper kilogram). He calculates the average number of kilograms, Y, sold per day at each of sixdifferent prices. From these data the following are calculated:Σχ = 250 Σy =y = 48636 Σy¹² = 3,284 [x²x² = 7,300Σxy = 12,565n = 6a) 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 thesesix weeks. The results are shown in the table below:y106815602055254830383532900 00D a) Calculate and interpret the values for beta (slope coefficient) and alpha (intercept) for theLeast 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 themarket trader sell for that week?Question 4Two thousandrandomly selected adults were asked whether or not they have ever shopped onthe Internet. The following table gives a two-way classification of the responses.Have ShoppedHave Never ShoppedTotalMale5007001200Female300500800Total80012002000a) If one adult is selected at random from these 2000 adults, find the probability that thisadult: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?

Question

1. You have made 10 observations of the price of a good. The results are shown below:120156132 141 127 136 129 144 136 142a) Find the mean of the observations.b) Find the range of the observations.c) Find the sample variance and standard deviation2. Over the period of 1 year, a greengrocer sells tomatoes at six (6) different prices (X penceper kilogram). He calculates the average number of kilograms, Y, sold per day at each of sixdifferent prices. From these data the following are calculated:Σχ = 250 Σy =y = 48636 Σy¹² = 3,284 [x²x² = 7,300Σxy = 12,565n = 6a) 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 thesesix weeks. The results are shown in the table below:y106815602055254830383532900 00D a) Calculate and interpret the values for beta (slope coefficient) and alpha (intercept) for theLeast 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 themarket trader sell for that week?Question 4Two thousandrandomly selected adults were asked whether or not they have ever shopped onthe Internet. The following table gives a two-way classification of the responses.Have ShoppedHave Never ShoppedTotalMale5007001200Female300500800Total80012002000a) If one adult is selected at random from these 2000 adults, find the probability that thisadult: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 &#34;Have shopped&#34; and &#34;Male&#34; mutually exclusive? Why or why not?c) Are the events Male&#34; and &#34;Male&#34; mutually exclusive? Why or why not?d) Are the events &#34;Female&#34; and &#34;Have Shopped&#34; independent? Why or why not?

Accepted Answer

"Since you have asked multiple questions, we will solve the first question for you. If you want any…

	Have Shopped	Have Never Shopped	Total
Male	500	700	1200
Female	300	500	800
Total	800	1200	2000

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