Chapter 14 Statistical Inferencehypothesis Testing Statistics 12th Class Punjab MCQ Tests
12th Class Statistics Chapter 14 MCQ Tests
Chapter 14 of 12th Class Statistics has 10 questions. If you take an online MCQ test, the system will randomly choose the questions. If you want to take the quiz by chapter then click the start test button.
Total Questions: 10
Total Marks: 10
Time: 10 Mins
Total Questions: 10
Total Marks: 10
Time: 10 Mins
10Min : 00 Sec Remaining
Question # 1
The Acme Company has developed a new battery. The engineer in charge claims that the new battery will operate continuously for at least 7 minutes longer than the old battery. To test the claim, the company selects a simple random sample of 100 new batteries and 100 old batteries. The old batteries run continuously for 190 minutes with a standard deviation of 20 minutes; the new batteries, 200 minutes with a standard deviation of 40 minutes. Test the engineer's claim that the new batteries run at least 7 minutes longer than the old. Use a 0.05 level of significance. (Assume that there are no outliers in either sample.)
Question # 2
Different hypothesis tests use different test statistics based on the _______ assumed in the null hypothesis.
Question # 3
A statement that is accepted if the sample data provide sufficient evidence that the null hypothesis is false is said to be:
Question # 4
When testing the following hypothesis at an a level of significance Ho:p≤0.7,Ha:p>0.7. The null hypothesis will be rejected if the test statistic Z is:
Question # 5
The mean difference between 16 paired observations is 25 and the standard deviation of differences is 10. The value of statistic-t is:
Question # 6
A manufacturing process produces ball bearings with diameters that have a normal distribution with known standard deviation of .04 centimeters. Ball bearings with diameters that are too small or too large are undesirable. In order to test the claim that μ=0.50 centimeters, perform a two-tailed hypothesis test at the 5% level of significance. Assume that a random sample of 25 gave a mean diameter of 0.51 centimeters. Perform a hypothesis test (6 step procedure outlined in class) and state your decision.
Question # 7
If men predisposed to heart disease have a mean cholesterol level of 300 with a standard deviation of 30, above what cholesterol level should you diagnose men as predisposed to heart disease if you want the probability of a type II error to be 1%? (The null hypothesis is that a person is not predisposed to heart disease.)
Question # 8
Let X be normal random variable with mean μ and variance 4. For the following hypothesis test H0:μ=1vs.Ha:μ=2, we reject H0 as X≥3. Calculate α, the probability of making Type I error.
Question # 9
An inventor has developed a new, energy-efficient lawn mower engine. He claims that the engine will run continuously for 5 hours (300 minutes) on a single gallon of regular gasoline. From his stock of 2000 engines, the inventor selects a simple random sample of 50 engines for testing. The engines run for an average of 295 minutes, with a standard deviation of 20 minutes. Test the null hypothesis that the mean run time is 300 minutes against the alternative hypothesis that the mean run time is not 300 minutes. Use a 0.05 level of significance. (Assume that run times for the population of engines are normally distributed.)
Question # 10
A study is done by a community group in two neighboring colleges to determine which one graduates students with more math classes. College A samples 11 graduates. Their average is 4 math classes with a standard deviation of 1.5 math classes. College B samples 9 graduates. Their average is 3.5 math classes with a standard deviation of 1 math class. The community group believes that a student who graduates from college A has taken more math classes, on the average. Test at a 1% significance level. Answer the following question: Do you reject or not reject the null hypothesis?
Total Questions
12345678910
Question # 1
The Acme Company has developed a new battery. The engineer in charge claims that the new battery will operate continuously for at least 7 minutes longer than the old battery. To test the claim, the company selects a simple random sample of 100 new batteries and 100 old batteries. The old batteries run continuously for 190 minutes with a standard deviation of 20 minutes; the new batteries, 200 minutes with a standard deviation of 40 minutes. Test the engineer's claim that the new batteries run at least 7 minutes longer than the old. Use a 0.05 level of significance. (Assume that there are no outliers in either sample.)
Question # 2
Different hypothesis tests use different test statistics based on the _______ assumed in the null hypothesis.
Question # 3
A statement that is accepted if the sample data provide sufficient evidence that the null hypothesis is false is said to be:
Question # 4
When testing the following hypothesis at an a level of significance Ho:p≤0.7,Ha:p>0.7. The null hypothesis will be rejected if the test statistic Z is:
Question # 5
The mean difference between 16 paired observations is 25 and the standard deviation of differences is 10. The value of statistic-t is:
Question # 6
A manufacturing process produces ball bearings with diameters that have a normal distribution with known standard deviation of .04 centimeters. Ball bearings with diameters that are too small or too large are undesirable. In order to test the claim that μ=0.50 centimeters, perform a two-tailed hypothesis test at the 5% level of significance. Assume that a random sample of 25 gave a mean diameter of 0.51 centimeters. Perform a hypothesis test (6 step procedure outlined in class) and state your decision.
Question # 7
If men predisposed to heart disease have a mean cholesterol level of 300 with a standard deviation of 30, above what cholesterol level should you diagnose men as predisposed to heart disease if you want the probability of a type II error to be 1%? (The null hypothesis is that a person is not predisposed to heart disease.)
Question # 8
Let X be normal random variable with mean μ and variance 4. For the following hypothesis test H0:μ=1vs.Ha:μ=2, we reject H0 as X≥3. Calculate α, the probability of making Type I error.
Question # 9
An inventor has developed a new, energy-efficient lawn mower engine. He claims that the engine will run continuously for 5 hours (300 minutes) on a single gallon of regular gasoline. From his stock of 2000 engines, the inventor selects a simple random sample of 50 engines for testing. The engines run for an average of 295 minutes, with a standard deviation of 20 minutes. Test the null hypothesis that the mean run time is 300 minutes against the alternative hypothesis that the mean run time is not 300 minutes. Use a 0.05 level of significance. (Assume that run times for the population of engines are normally distributed.)
Question # 10
A study is done by a community group in two neighboring colleges to determine which one graduates students with more math classes. College A samples 11 graduates. Their average is 4 math classes with a standard deviation of 1.5 math classes. College B samples 9 graduates. Their average is 3.5 math classes with a standard deviation of 1 math class. The community group believes that a student who graduates from college A has taken more math classes, on the average. Test at a 1% significance level. Answer the following question: Do you reject or not reject the null hypothesis?
Total Questions
12345678910
Statistics MCQ Test by Topics
- +14.1 Basic Concepts
- +14.2 Testing Hypothesis about Population Mean
- +14.3 Testing Hypothesis about Population Proportion
Statistics
- Representation and Exploration of Data
- Measure of Central Tendency or Averages
- Measures of Dispersion
- Index Numbers
- Regression and Correlation Analysis
- Analysis of Time Series
- Set Theory
- Introduction to Probability
- Random Variables and Distributions
- Binomial and Hypergeometric Distributions
- The Normal Distribution
- Sampling and Sampling Distributions
- Statistical Inference:Estimation
- Statistical Inference:Hypothesis Testing
- Association of Attributes
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