Answered: the null and alternative hypotheses for…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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The masses in kilograms of melons produced by a farm can be modelled by a normal distribution with a mean of 2.6 kg and a standard deviation of 0.5 kg. Find the probability that a melon selected at random will have a mass greater than 3.0 kg. Find the probability that two melons picked at random and independently of each other will both have a mass greater than 3.0 kg. have a total mass greater than 6.0 kg.One year due to favourable weather conditions it is thought that the mean mass of the melons has increased. The owner of the farm decides to take a random sample of 16 melons to test this hypothesis at the 5% significance level, assuming the standard deviation of the masses of the melons has not changed. Write down the null and alternative hypotheses for the test. Find the critical region for this test.Unknown to the farmer the favourable weather conditions have led to all the melons having 10% greater mass than the model described above. Find the mean and standard deviation of the mass of the melons for this year.

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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