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List out the properties of t-distribution

Important Questions on Tests Based on Sampling Distributions-I

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications

When the size of the sample is larger than 30, what does the t-distribution tends to

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
If s12 and s22 are respectively the variance of two independent random samples of sizes ‘m’ and ‘n’. Then standard deviation of the combined sample is
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
A sample of 16 units are taken for testing a hypothesis concerning the mean of a normal population. Then the degrees of freedom of the appropriate test statistic is
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
Paired t-test is applicable when the observations in both the samples are
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
Calculate the value of pooled standard deviation from the following data: Size of sample 1 is 10 and its standard deviation is 12 and Size of sample 2 is 8 and its standard deviation is 5.4.
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
The number of degrees of freedom for the test statistic t=(x¯−μ)s/n is
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
Which of the following is a support of student's t random variable is
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
Support of student's t random variable is
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
Standard error of difference between two sample means in the case of small samples is
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
If s12 and s22 are respectively the variance of two independent random samples of sizes ‘m’ and ‘n’. Then standard deviation of the combined sample is
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
Student's 't' distribution was found by
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
Support of student's t random variable is
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
Paired t-test is applicable when the observations in both the samples are
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
In the case of small samples standard error of difference between two sample means is
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
Standard error of difference between two sample means in the case of small samples is
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
The number of degrees of freedom for the test statistic t=(x¯−μ)s/n is
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
Student's 't' distribution was found by
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications

If the size of the sample is larger than 30, the t-distribution tends to

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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
A company gave an intensive training to its salesman to increase the sales. A random sample of 6 salesmen was selected and the value of their sales made before and after the training is recorded. Which test will be more appropriate to test whether there is an increase in mean sales.
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Mathematics>Statistics>Tests Based on Sampling Distributions-I>Student's T-Distribution and its Applications
Calculate the value of pooled standard deviation from the following data: Size of sample 1 is 8 and its standard deviation is 35 and Size of sample 2 is 7 and its standard deviation is 40.