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Questions 10-18 are related to the following information A population has a mean of 1505.77 and standard deviation of 269.35 10 A random sample of size n = 80 is selected from this population, The probability that the sample mean exceeds 1523 0.2762 0.2938 0.3126 0.3325 The fraction of the means from samples of size n = 80 that are below 1480 0.1618 0.1740 0.1871 0.2012 12 What fraction of the means from random samples of size 80 are within : 40 from the population mean 0.8572 0.8323 0.8080 0.7845 13 The margin of error for the middle interval that captures 95% of the sample means from samples of size 68.59 56.83 55.13 53.47 14 The middle interval that captures 95%% of the means from samples of size 80 is, 1458.57 1552.97 1456.55 1565.99 1452.35 1559.19 1448.94 1562.60 Suppose we double the sample size ton = 2 " 80 = 160, Regarding the impact of changing the sample size on the margin of sampling error, doubling the sample size, but keeping the error probability a at 5%%, would, Increase by 50% Decrease by 50% Decrease by 29% Decrease by 38% 16 If we kept n at 80 but reduced the error probability to a = 0.01, the margin of error would .. Decrease by 20% Increase by 20% Increase by 24% Increase by 31% 17 The middle interval that captures 99% of all means from samples of size 1435.5 1576.0 1433.3 1578.2 1431.1 1580.5 1428.8 1582.8 18 Now keep the error probability as a - 0.05. We want to build an interval which captures 95% of the sample means within 215 from the population mean. What is the minimum sample size that would yield such an interval? 838 931 1034 1149