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5 Statistics d Range e Variance f Standard deviation g z-score h Skewness i Kurtosis 2 An insurance company wanted to understand the time to process an insurance claim They timed a random sample of 47 claims and determined that it took on average 25 minutes per claim and the standard deviation was calculated to be 3 With a con dence level of 95%, what is the con dence interval 3 An electronics company wishes to understand, for all customers that purchased a computer, how many will buy a printer at the same time To test this, the company interviews a random sample of 300 customers and it was determined that 138 bought a printer With a con dence level of 99%, what is the con dence interval for the proportion of customers buying a printer at the same time as a computer 4.

18:8-9

A phone company wishes to make a claim that the average connection time in the US is less than two seconds (ie the time after you dial a number before the call starts to ring) To test this, the company measures 50 randomly selected calls and the average time was 19 seconds with a standard deviation of 026 Using this information and a 95% con dence level: a Specify the null and alternative hypothesis b Calculate the hypothesis score c Calculate a p-value d Determine whether the phone company can make the claim 5 A bank wishes to make a claim that more than 90% of their customers are pleased with the level of service they receive To test this claim, a random sample of 100 customers were questioned and 91 answered that they were pleased with the service.

Dreamweaver translates both inches and centimeters to their equivalent in pixels and then adds them together. The measurements are system-dependent; on the Macintosh, an inch equals 72 pixels and on Windows, an inch is 96 pixels. When you use values with a combined measurement system, you can only add values you can t subtract them. When you press the Tab key or click outside of the height and width boxes, Dreamweaver converts your value to pixels.

The bank wishes to make the claim at a 95% con dence level Using this information: a Specify the null and alternative hypothesis b Calculate the hypothesis score c Calculate a p-value d Determine whether the bank can make the claim 6 A company that produces tomato plant fertilizer wishes to make a claim that their fertilizer (X) results in taller tomato plants than a competitor product (Y) Under highly controlled conditions, 50 plants were grown using X and 50 plants grown using Y and the height of the plants were measured The average height of the plants grown with fertilizer X is 036 meters with a standard deviation of 0035 The average height of the plants grown with fertilizer Y was 034 with a standard deviation of 0036 Using a 95% con dence limit: a Specify the null and alternative hypothesis b.

b1 1:01 10 ; b4 1:05 10 ; b14 1:80 10 :

where nji)

Calculate the hypothesis score c Calculate a p-value d Determine whether the company can make the claim.

The range of heat and mass transfer processes that would take place in buildings is as illustrated in Fig.1.1, which shows a perimeter room on an intermediate oor in a multi-storey of ce building. The room is separated from the outdoors by an external wall and a window, and from adjoining rooms at the sides by internal partitions, and at above and below by a ceiling and a oor slab. The room is equipped with a HVAC system that would supply heating or cooling to the room by circulating air between the room and the air-handling unit via the supply and return air ducts. As shown in Fig.1.1, the heat and mass transfer processes that would take place in a building include: (a) (b) (c) (d) (e) conduction heat transfer through the building fabric elements, including the external walls, roof, ceiling and oor slabs and internal partitions; solar radiation transmission and conduction through window glazing; in ltration of outdoor air and air from adjoining rooms; heat and moisture dissipation from the lighting, equipment, occupants and other materials inside the room; and heating or cooling and humidi cation or dehumidi cation provided by the HVAC system.