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Q1) Reply the following questions regarding normal, standard normal and binomial distributions.
(i) Why can normal distribution be utilized as approximation to binomial distribution?
(ii) What circumstances should be met to use normal distribution to approximate binomial distribution?
(C) How does standard normal distribution vary from normal distribution?
Q2) Suppose that population of heights of female college students is about normally distributed with mean µ of 68 inches and standard deviation σ of= 2.75 inches. Random sample of 16 heights is obtained. Illustrate all work.
(i) Determine the proportion of female college students whose height is greater than 69 inches.
(ii) Determine the mean and standard error of the x - bar distribution.
Mean and standard deviation are 584.6 and 34.28
A random variable has the density curve as in the graph below. Find The height of the density curve?
Develop percent frequency distribution and construct bar chart and pie chart.
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Write down the probability of that the median of the sample or average medians is greater or more than 320 minutes?
Ten students were sampled at random from a student population. Each was asked how many courses he or she was planning on studying in the upcoming year. The following is a list of the reported data values: 1, 2, 2, 3, 4, 5, 5, 5, 5, 6 What is the vari..
For a sample with standard deviation of 10, a score of X = 44 corresponds to z-score of 0.50. Based on this info, determine the sample mean?
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If 1 man aged 18-24 is arbitrarily chosen, determine the probability that his serum cholesterol level is between 165 and 200.
Test hypothesis that mean weight of 2 sheets are equal against alternative that they are not(suppose equal variances). Use α=0.05 and suppose equal variances. Determine the P value.
If person is selected at random and tested, determine the probability of that person having an IQ score between 85 and 115. Make use of EXCEL to help determine the probability.
LSAT scores are normally distributed, with a mean of 150 and s = 10.
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