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| cc What is the critical t value for α = 0.10 with degrees of freedom 12 for a right-tailed t test? cc |
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cc What is the critical t value for α = 0.05 with degrees of freedom 20 for a left-tailed t test?
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| cc What are the critical t values for α = 0.01 with degrees of freedom 26 for a two-tailed t test? cc |
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cc The critical t value for a sample size of 15 is - 1.542. The test is left tailed. What is the interval of p-value in the t test?
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cc The critical t value for a sample size of 25 is 1.709. The test is right tailed. What is the upper boundary of the p-value in the t test?
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cc The critical t value for a sample size of 8 is 3.23. The test is two tailed. What is the p-value in the t test?
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cc A civil engineer in U.S. earns an average annual salary of $40,280 as reported in an economic survey. The mean salary of a sample of 20 civil engineers was found to be $40,000 with a standard deviation of $353. At α = 0.05, what is the test value? Is the survey report true?
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cc A physical education teacher reported that the mean height of all the girls of grade 10 was 164.5 cm. From a random sample of 20 girls selected from a school, it was observed that the mean height was 167.5 cm and the standard deviation was 6 cm. Test the teacher's report at α = 0.02.
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cc A statistician analyzed and concluded that the mean time spent by the student per day on studies at home is more than 1.6 hours. The time spent at home on studies by a random sample of 20 students (time spent per day on reading or doing homework) in hours are as follows:| 2 | 1.7 | 3.2 | 2.5 | 1 | 1.2 | 1.8 | 0.8 | 1.4 | 1.8 | | 2.1 | 2.4 | 1.5 | 1.6 | 2 | 1.6 | 1.3 | 1.4 | 1.7 | 1.9 |
At α = 0.05, test the analysis of the statistician. cc |
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| cc Educational survey reports that the state average for the number of students per faculty member in schools is 12.3. From a random sample of 20 schools of the state, the mean was found as 12.5 and the standard deviation as 0.6. At α = 0.10, test the educational survey report. cc |
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| cc A manual of Medical Information reports that the average weight of a new born baby is 7 pounds. As per the data collected from 15 maternity hospitals, the average weight of a newborn was 7.1 pounds and the standard deviation, 0.2 pounds. Use the P-value method, at α = 0.05, to find the test value and check whether the report is correct or not. cc |
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cc Mediascope Press reports that the teenagers of 13 to 17 years of age spend an average of 4 hours watching television during weekdays. A survey was conducted on a random sample of 20 teenagers of this age group. The mean of watching television of this sample was found to be 4.15 hours with a standard deviation of 0.24 hours. At α = 0.01, test the Mediascope Press report.
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| cc Choose the correct statement for using the t test for the mean of a population. cc |
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cc A four year public college or university charged a tuition fees of $10,903 in the year 2000, on an average. In 2001, a random sample of 10 four year public colleges or universities had a mean of $11,418 with a standard deviation of $650. At α = 0.01, find the test value and state whether the mean tuition fees increased from the year 2000 to 2001 or not.
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cc Census 2000 Brief reports that the mean travel time to workplace (population 16 years and over) in United States is 25.5 minutes. The mean travel time to workplace in a sample of 20 states are:
| 24.8 | 19.6 | 24.9 | 21.9 | 27.7 | 24.3 | 24.4 | 29.7 | 26.2 | 27.7 | | 26.1 | 28.0 | 22.6 | 18.5 | 23.5 | 25.7 | 22.7 | 31.2 | 27.0 | 24.0 |
At α = 0.10, find the test value and comment on the census report. cc |
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cc A volunteer estimates that the average collection for a charity from school children will be more than $7. Donations made by a random sample of 10 students are as given:
At α = 0.01, find the test value and comment on the the volunteer's estimate.
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| cc A survey reports that the average coffee consumption of the American adult is over 400 cups per annum. The annual coffee consumption of 25 American adults was subjected to a study and it was found that the sample has a mean of 418 cups and a standard deviation of 10 cups. At α = 0.05, find the test value. Is there enough evidence to support the survey report? cc |
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| cc A report on education says that the average salary paid to public school teachers in a state is $43,300 per annum. A statistician interviewed 15 public school teachers and found the average annual salary as $45,850 with a standard deviation $3,800. At α = 0.02, what is the test value? Is the report on the average salary correct accoriding to the finding of the statistician? cc |
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| cc A business man estimated that the average business traveler will spend more than $180 per week on calls. A sample of 20 business travelers are selected at random and their mean expenses was found as $185 with a standard deviation $15. Find the test value at α = 0.10. Is there enough evidence to support the business man's estimate? cc |
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cc The organizer of a math contest estimates that the average score of the students in a particular test will be less than 60. A sample of 20 students are selected for the test and their average score was found as 58 with a standard deviation of 6. Test the organizer's estimate at α = 0.05.
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cc In a statistical t test for the mean of a population, the critical value for a right tailed test at α = 0.05 with degrees of freedom 18 is 1.734 and the corresponding test value is 2.231. Determine which is true about the null hypothesis.
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| cc In a statistical t test for the mean of a population, the critical value for a left tailed test at α = 0.10 with degrees of freedom 25 is - 1.316 and the corresponding test value is - 0.782. Which is true about the null hypothesis? cc |
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| cc In a statistical t test for the mean of a population, the critical value for a two tailed test at α = 0.01 with degrees of freedom 20 is ± 2.845 and the corresponding test value is 2.436. Which is true about the null hypothesis? cc |
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| cc Calculate the t test value for μ = 28, X¯ = 32, s = 2.3 and n = 25. cc |
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