Answered: A small business ships specialty…

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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A small business ships specialty homemade candies to anywhere in the world. Past records indicate that the weight of orders is normally distributed with a mean of 100 grams. Suppose a random sample of 16 orders is selected and each is weighed. The sample mean was found to be 110 grams with a standard deviation of 14 grams. Are these orders indicating there is an increase in the means size of orders compared to in the past?
a. Write the null and alternative hypotheses to test this claim.
b. What is the value of the test statistic? Show your work.
c. What is the associated P-value?
d. State your conclusion and explain in context using ΅ = 0.05.
e. Create a 95% Confidence Interval for the true mean weight of the orders. Explain what the confidence interval means in context. For example..."We are 95% confident..."

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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