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Jack has to choose a random sample of 8 people from the 750 members of a sports club.

a) Explain fully how he can use random numbers to choose the sample.

Jack asks each person in the sample how much they spent last week in the club caf´e. The results, in dollars, were as follows.

15,  25,  30,  8,  12,  18,  27,  25

b) Find unbiased estimates of the population mean and variance.

c) Explain briefly what is meant by ‘population’ in this question.

پاسخ تشریحی :
نمایش پاسخ

a) Number all members

Explain the selection of 3-digit random numbers

Omit repeats OR omit nos. over 750 (until have 8 nos.)

b) $Est\left( \mu  \right) = 20$

$Est\left( {{\sigma ^2}} \right) = \frac{8}{7}\left( {\frac{{3636}}{8} - {{20}^2}} \right)$

$ = \frac{{436}}{7}$ or $62.3$ (3 sfs)

c) Amounts spent last week in café by all club members

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