Answered: H1 : μ<120 are posed for the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Assume that the birthweights of babies born into low socioeconomic status are normally distributed with a mean of 116 oz and a standard deviation of 18 oz. We generate 100 random samples, each consisting of 100 birthweights from this distribution. For each sample, the hypotheses

H₀ : μ=120
H₁ : μ<120

are posed for the appropriate one-tailed t-test at a 5% level of significance. Consider the number of samples k where H₀ is accepted.

(a) What probability distribution does k follow?

(b) Calculate the population mean and variance for k. (Hint: what does it mean to accept H₀for this data?)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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H1 : μ<120 are posed for the appropriate one-tailed t-test at a 5% level of significance. Consider the number of samples k where H0 is accepted. (a) What probability distribution does k foll