Sample and Sample Distribution Unit 3

# Sample and Sample Distribution Unit 3 - Z =.0533.0004125...

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Sample and Sample Distribution (1) Age Distribution in Sydney Sample size: 250 people How many people sampled from each stratum: Under 18 - 22% - (.22*250) – 55 people 18 – 25 – 18% - (.18*250) – 45 people 26 -50 – 36% - (.36*250) – 90 people 51 – 65 – 10% - (.10*250) – 25 people Over 65 – 14% - (.14*250) – 35 people (2) - Candidate believes 55% of votes will be retained in favor - Random sample of 600 were chosen - Poll results showed 298 are committed to candidate - What is probability of sample proportion if small or smaller? Sample = 298/600 = .4967 Z = .4967 - .55/.55(1-.55)/sqaureroot 600
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Unformatted text preview: Z = - .0533/.0004125 sqaureroot Z = - 2.63 Z table shows that the probability will be .0043 P = .0043 Based on the probability it seems that the candidate would have an unlikely chance of retaining 55% of votes from the county. (3) 1 bedroom = \$500 per month Of a random sample = 50 one bedroom apartments Sample mean = \$530 Standard Deviation \$100 Z = \$530 - \$550/100/50 sqaureroot Z = - 20/14.1421 Z = - 1.41 According to z table the probability for a random sample of 50 one bedroom apartments would be .0786 P =.0786...
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