Answered: Suppose that an independent research…

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

See similar textbooks

Related questions

Question

100%

Suppose that an independent research company was tasked with testing the validity of complaints against a pesticide manufacturing firm for under-filling their 20 lb bags of pesticide. Past experience has shown that the amount of pesticide dispensed by the machines that fill the bags follows a normal distribution with a mean of 20 lb and a standard deviation of 0.6 lb. To verify the validity of the complaints, a researcher randomly selected 16 of the firm's 20 lb pesticide bags and recorded the following weights.

19.81, 18.54, 19.94, 18.52, 18.5, 18.72, 19.38, 19.37, 19.08, 19.1, 18.54, 20.27, 20.23, 19.77, 19.14, 20.31

If you wish, you may download the data in R format (R data ).

The company would like to use these data to conduct a z-test with α=0.05

State the null hypothesis:

State the alternative hypothesis

Give the z-statistic:

Since the P-value is _____ α=0.05, there is ______ evidence to support the complaints.

μ ≤ 20 μ ≥ 20 μ = 20

‑4.492 0.00 1.00 4.492

equal to less than greater than

significant little

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.

Expert Solution