Rust-Oleum is a company that manufactures and sells spray paint. Their American Accents line of spray paints are guaranteed to contain 16 ounces of paint per can. Due to the fact that under-filling cans of spray paint is bad for customer relations and over-filling spray paint cans is dangerous, Rust-Oleum has a strict quality control process. Every 1.5 hours, a quality control officer randomly selects a sample of 29 spray paint cans from the manufacturing line and carefully weighs them to ensure that each can of paint contains 16 ounces, on average. If the sample mean is found to be sufficiently different than 16 ounces, the manufacturing line is shut down and inspected. The mean weight of a recent sample of 29 spray paint cans was found to be 16.02 ounces with a standard deviation of 0.11 ounces. Use the critical value method to test the hypothesis that the mean weight of the spray paint cans from this manufacturing line is different than 16 ounces, using a = 0.1. Assume that the distribution of all spray paint cans from Rust-Oleum is known to be approximately normally distributed. State the null and alternative hypothesis for this test. Ho: ? V H₁: ? Determine if this test is left-tailed, right-tailed, or two-tailed. Oright-tailed Oleft-tailed two-tailed Should the standard normal Im distribution or Student's It distribution ho lead for this tact?
Rust-Oleum is a company that manufactures and sells spray paint. Their American Accents line of spray paints are guaranteed to contain 16 ounces of paint per can. Due to the fact that under-filling cans of spray paint is bad for customer relations and over-filling spray paint cans is dangerous, Rust-Oleum has a strict quality control process. Every 1.5 hours, a quality control officer randomly selects a sample of 29 spray paint cans from the manufacturing line and carefully weighs them to ensure that each can of paint contains 16 ounces, on average. If the sample mean is found to be sufficiently different than 16 ounces, the manufacturing line is shut down and inspected. The mean weight of a recent sample of 29 spray paint cans was found to be 16.02 ounces with a standard deviation of 0.11 ounces. Use the critical value method to test the hypothesis that the mean weight of the spray paint cans from this manufacturing line is different than 16 ounces, using a = 0.1. Assume that the distribution of all spray paint cans from Rust-Oleum is known to be approximately normally distributed. State the null and alternative hypothesis for this test. Ho: ? V H₁: ? Determine if this test is left-tailed, right-tailed, or two-tailed. Oright-tailed Oleft-tailed two-tailed Should the standard normal Im distribution or Student's It distribution ho lead for this tact?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 7E
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