Question
Many parts of cars are mechanically tested to be certain that they do not fail prematurely. In an experiment to determine which one of two
NOTE: use ONLY the P-value method for hypothesis tests.
Number of Openings and Closings
Alloy 1 | Alloy 2 | ||||||
1.5 | 1.5 | 0.9 | 1.3 | 1.4 | 0.9 | 1.3 | 0.8 |
1.8 | 1.6 | 1.3 | 1.5 | 1.3 | 1.3 | 0.9 | 1.4 |
1.6 | 1.2 | 1.2 | 1.8 | 0.7 | 1.2 | 1.1 | 0.9 |
1.3 | 0.9 | 1.5 | 1.6 | 1.2 | 0.8 | 1.2 | 1.1 |
1.2 | 1.3 | 1.4 | 1.4 | 0.8 | 0.7 | 1.1 | 1.4 |
1.1 | 1.5 | 1.1 | 1.5 | 1.1 | 1.4 | 0.8 | 0.8 |
1.3 | 0.8 | 0.8 | 1.1 | 1.3 | 1.1 | 1.5 | 0.9 |
1.1 | 1.6 | 1.6 | 1.3 | 1.4 | 1.2 | 1.3 | 1.6 |
0.9 | 1.4 | 1.7 | 0.9 | 0.6 | 0.9 | 1.8 | 1.4 |
1.1 | 1.3 | 1.9 | 1.3 | 1.5 | 0.8 | 1.6 | 1.3 |
a) Can we conclude at the 5% significance level that the mean number of door openings and closings with hinges made from Alloy 1 is greater than 1.25 million?
b.) Can we conclude at the 10% significance level that the variance of the number of openings and closings with the hinges made from Alloy 2 is less than 0.035?
c.) Estimate with 90% confidence the difference in the number of openings and closings between hinges made with Alloy 1 and hinges made with Alloy 2. Interpret the interval.
d.) The quality control manager is not only concerned about the openings and closings of the hinges but is also concerned about the proportion of hinges that fail. Can we infer at the 10% significance level that the proportion of hinges made with Alloy 2 that fail exceeds 18%?
Step by Step Solution
3.42 Rating (165 Votes )
There are 3 Steps involved in it
Step: 1
a Since we are comparing one sample mean with the population means and the population standard deviation is not known the ttest for One Population Mea...Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started