Testing Hypothesis About Population Mean MCQ Tests
12th Class Statistics MCQ Tests
Testing Hypothesis About Population Mean
of 12th Class Statistics has 4 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: 4
Total Marks: 4
Time: 5 Mins
Total Questions: 4
Total Marks: 4
Time: 5 Mins
5Min : 00 Sec Remaining
Question # 1
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?
Question # 2
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 # 3
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 # 4
The mean difference between 16 paired observations is 25 and the standard deviation of differences is 10. The value of statistic-t is:
Total Questions
1234
Question # 1
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?
Question # 2
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 # 3
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 # 4
The mean difference between 16 paired observations is 25 and the standard deviation of differences is 10. The value of statistic-t is:
Total Questions
1234
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
12th Class Online Classes 2026
Updated on: 10-05-2026
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