100, describe the 238 sample of APPLYING THE CONCEPTS be less than S3 7,3 For ea

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100, describe the 238 sample of APPLYING THE CONCEPTS be less than S3 7,3 For each of the following three sampling distribueion for samples Customer weepe fo a ket for a year be between a year. hat the sample mean wi Call center logs of inbound calls tracking dia blog. credit card company during de years According to a platt form and social networking we of days 7.4 me following data represeat visit, of a small year or per of 20 year is a that time spent on Tumblr Awarmingthat you 13 679 select all po ed and that the standard deviati MNga. sample without replacement mally di of 25 visits. sible samples of the mean of all the sample means what is the probability that the sample me is of the mean, Compute equal What is 20.5 minutes? is also compute the population mean Are they and that the sample mean property called? h what is the probabi al possible samples of mean in utes? of 100 visi what Compare the shape of the has of the If you select a random sample 19 s and 205 lal and sampling distribution less variabiliry? the the resul of (a) and (c). Which the difference in lts d. Explain d. Assuming that you sample with distributioms have and compare the results, which sampling SELa 7.8 Today, full-time college students report of 27 hours per week on academic activi the least variability those in a or (b) Why? Challenge ide and outside the cl 7.5 The diameter of a brand of tennis balls is approu ia- lege students for 2013: Don't Waste Your 6,57o January 29, 2013, huff to 13dNtuT Assume the standard need hel of nine tennis tion of time spent on academic activities is 4 hours. Ir you le mean is less than random sample of 16 full-time college studen a. what is the probability that the mean time spent o le mean is between is at least 26 hours per week' is an that the sample mean is less than Please mean will be between many hours per week? v s in adu ed around the popula- c. What assumption must you make in order to solve (a) d. If you select a random sample of 64 full-time college studen there is an 85% chance that the sample mean is less than 7.6 The Us. Ceasus Bureau announced that the median sales price of new houses soldin 2013 was $265,900 and the mean sales many hours per week? Price was $322,100 (www.census.govinewhemesales, March 2014). Assume that the standard deviation of the prices is 7.3 Sampling Distribution of the Proportion Student Tip Do not contse brand or a categorical variable that has only two categories, such as the customer pre ofthe Greek this use the customer prefers the competitors brand. You are interested in the proport eterpu m, aging to one the example, the proportion of customers that your brand. The population proportion. represented by the proportion of in tire with the of The sample represented proportion of items in the sample with the character a statistic. is used to estimate the population of interest. The sample propono you assign one of two possible proportion, a parameter. To calculate the sani values, 1 or 0, to represent the presence or hat the same letter proportion. uses represent the ato of haracteristic. then sum have three sample of five customers. three values your brand and two a sample o 0s. Summing the and preferred divide by n, the sam and pron three ls and proximately 3 14150

Explanation / Answer

mean = 322100 ,sd = 90000

n =100

b) since n =100 > 30 , the shape of sampling distribution of Xbar will be bell-shaped(normal distribution)

c)P(Xbar < 346000)

Z =(Xbar - 322100)/(90000/sqrt(100))

P(Xbar< 346000)

P(Z< (346000 - 322100)/(90000/sqrt(100))

=P(Z< 2.65555)

= 0.996

d)P(326 000 < Xbar <341000)

P((326000 - 322100)/(90000/sqrt(100)) < Z < (341000 - 322100)/(90000/sqrt(100)))

=P( 0.43333 < Z< 2.1)

=0.3145

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