a randomized, double-blind experiment, 90 babies were randomly divided into a treatment group (n, = 45) and a control group (n2 = 45). After the study, the treatment group had a mean serum retinol concentration of 43.99 micrograms p eciliter (ug / dL) with a standard deviation of 17.88 ug / dL, while the control group had a mean serum retinol concentration of 13.19 pug / dL with a standard deviation of 9.61 ug / dL. Does the treatment group have a higher standard deviation erum retinol concentration than the control group at the a = 0.05 level of significance? It is known that serum retinol concentration is normally distributed. Use the P-value approach to perform the test. et a, represent the population standard deviation for the treatment group and a, represent the population standard deviation for the control group. State the null and alternative hypotheses for this test. Ho: 01 H: o, > 02 Ise technology to find the P-value for this test. he P-value is

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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!