Critical Values (It is only necessary to find the negative one) 1) Find the critical value zc that corresponds to a 94% confidence level. B) ±2.33 C) ±1.88 D) ±1.96 A) ±1.645 Construct the Confidence Interval for the mean. 2) A random sample of 150 students has a grade point average with a mean of 2.86. Assume the population standard deviation is 0.78. Construct the confidence interval for the population mean, µ, at the 98% confidence. A) (2.43, 3.79) B) (2.31, 3.88) C) (2.71, 3.01) D) (2.51, 3.53) 3) A random sample of 40 students has a mean annual earnings of $3120. Assume the population standard deviation is $677. Construct the confidence interval for the population mean,µ at the 95% confidence. A) ($4812, $5342) B) ($1987, $2346) C) ($210, $110) D) ($2910, $3330) Minimum Sample size for the mean (Special formula) 4) The standard IQ test has a mean of 96 and a standard deviation of 14. We would like to know the minimum sample size needed to be 99% confident that we are within 4 IQ points of the true mean. A) 82 B) 128 C) 76 D) 41 5) In order to set rates, an insurance company is trying to estimate the number of sick days that full time workers at vear vious study indicated that the standard deviation was 3.1 days ants to be 97%.confident that the frue mean differs i BY1024 C141 D146 werestrveved,150 said they own their car Find a pointeshate for p(p-hat thein 0036 and
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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