Answer all questions. You must identify the correct Test/Interval and need to provide necessary steps even you use the calculator. Please see class examples for as a guideline. When constructing Hypothesis tests, you need to clearly state the Null and Alternative Hypothesis. 1. During the independent research 30 women were chosen to measure their weight. The mean value of weight is 66 kg and it is known from the previous experience that the weight is normally distributed with. σ = 10 kg a. Find a 95% confidence interval on the mean weight. b. Find a 90% confidence interval on the mean weight. c. Which interval is wider? 2. Following are two confidence interval estimates of the mean μ of the cycles to failure of an automotive door latch mechanism (the test was conducted at an elevated stress level to accelerate the failure). 3062.9≤3153.7, 3048.5≤3168.1 a. What is the value of the sample mean cycles to failure? b. One of these intervals is a 95% CI and the other is a 99% CI. Which one is the 95% CI? 3. During an independent research, 2500 randomly selected people were interviewed whether they visit their dentist for a regular dental checkup or not. Only 2000 gave a positive answer. Calculate a 95% confidence interval on the proportion of people who regularly have a dental checkup. 4. A research engineer for a tire manufacturer is investigating tire life for a new rubber compound and has built 16 tires and tested them to end-of-life in a road test. The sample mean and standard deviation are 60489.7 and 3645.94 kilometers. The engineer would like to demonstrate that the mean life of this new tire is in excess of 60,000 kilometers. Formulate the appropriate hypotheses. Test the appropriate hypotheses usinga 0.05. Is it possible to reject Ho hypothesis at the 0.05 level of significance? (Assume data is normally distributed). =
Answer all questions. You must identify the correct Test/Interval and need to provide necessary steps even you use the calculator. Please see class examples for as a guideline. When constructing Hypothesis tests, you need to clearly state the Null and Alternative Hypothesis. 1. During the independent research 30 women were chosen to measure their weight. The mean value of weight is 66 kg and it is known from the previous experience that the weight is normally distributed with. σ = 10 kg a. Find a 95% confidence interval on the mean weight. b. Find a 90% confidence interval on the mean weight. c. Which interval is wider? 2. Following are two confidence interval estimates of the mean μ of the cycles to failure of an automotive door latch mechanism (the test was conducted at an elevated stress level to accelerate the failure). 3062.9≤3153.7, 3048.5≤3168.1 a. What is the value of the sample mean cycles to failure? b. One of these intervals is a 95% CI and the other is a 99% CI. Which one is the 95% CI? 3. During an independent research, 2500 randomly selected people were interviewed whether they visit their dentist for a regular dental checkup or not. Only 2000 gave a positive answer. Calculate a 95% confidence interval on the proportion of people who regularly have a dental checkup. 4. A research engineer for a tire manufacturer is investigating tire life for a new rubber compound and has built 16 tires and tested them to end-of-life in a road test. The sample mean and standard deviation are 60489.7 and 3645.94 kilometers. The engineer would like to demonstrate that the mean life of this new tire is in excess of 60,000 kilometers. Formulate the appropriate hypotheses. Test the appropriate hypotheses usinga 0.05. Is it possible to reject Ho hypothesis at the 0.05 level of significance? (Assume data is normally distributed). =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Answer all questions. You must identify the correct Test/Interval and need to provide necessary
steps even you use the calculator. Please see class examples for as a guideline. When constructing
Hypothesis tests, you need to clearly state the Null and Alternative Hypothesis.
1. During the independent research 30 women were chosen to measure their weight. The
mean value of weight is 66 kg and it is known from the previous experience that the weight
is normally distributed with. σ = 10 kg
a. Find a 95% confidence interval on the mean weight.
b. Find a 90% confidence interval on the mean weight.
c. Which interval is wider?
2. Following are two confidence interval estimates of the mean μ of the cycles to failure of
an automotive door latch mechanism (the test was conducted at an elevated stress level to
accelerate the failure).
3062.9≤3153.7,
3048.5≤3168.1
a. What is the value of the sample mean cycles to failure?
b. One of these intervals is a 95% CI and the other is a 99% CI. Which one is the 95%
CI?
3. During an independent research, 2500 randomly selected people were interviewed whether
they visit their dentist for a regular dental checkup or not. Only 2000 gave a positive
answer.
Calculate a 95% confidence interval on the proportion of people who regularly have a
dental checkup.
4. A research engineer for a tire manufacturer is investigating tire life for a new rubber
compound and has built 16 tires and tested them to end-of-life in a road test. The sample
mean and standard deviation are 60489.7 and 3645.94 kilometers.
The engineer would like to demonstrate that the mean life of this new tire is in excess of
60,000 kilometers. Formulate the appropriate hypotheses. Test the appropriate hypotheses
usinga 0.05. Is it possible to reject Ho hypothesis at the 0.05 level of significance?
(Assume data is normally distributed).
=
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