e Homel Chegg.com X WeBWorK : f17dpavlovm / yi HW11 -C | www.webassign.net/web/S
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e Homel Chegg.com X WeBWorK : f17dpavlovm / yi HW11 -C | www.webassign.net/web/Student/Assignment-Responses/submit?dep=17474229 4. -6 points DevoreStat9 6.E.007 My Notes Ask Your Teach (a) A random sample of 10 houses in a particular area, each of which is heated with natural gas, is selected and the amount of gas (therms) used during the month of January is determined for each house. The resulting observations are 142, 109, 99, 149, 118, 81, 103, 125, 138, 122, Let denote the average gas usage during January by all houses in this area Compute a point estimate of therms (b) Suppose there are 18,000 houses in this area that use natural gas for heating. Let denote the total amount of gas used by all of these houses during January. Estimate using the data of part (a) therms 0 5 rx (c) Use the data in part (a) to estimate p, the proportion of all houses that used at least 100 therms. (d) Give a point estimate of the population median usage (the middle value in the population of all houses) based on the sample of part (a) therms 8-06 PM O Type here to search ^4x 11/14/2017Explanation / Answer
Solution:- given that 142,109,99,149,118,81,103,125,138,122
a) = 1186/10 = 118.6
b) => 118.6 * 18000 = 2134800
c) It would be all houses using greater than or equal to 100:
Pi = 8/10 = 4/5
d)
The median of the data set is 120.
Explanation
The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.
Ordering the data from least to greatest, we get:
81 99 103 109 118 122 125 138 142 149
As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:
Median=(118+122)/2=120
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