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Earn 100

List out the properties of t-distribution

Important Questions on Tests Based on Sampling Distributions-I

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A random sample of 10 packets containing cashew nuts weigh (in grams) 70,120,110,101,88,83,95,98,107,100 each. Test whether the population mean weight of 100 grams?
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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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Explain the testing procedure to test the normal population mean, when population variance is unknown
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Write the standard error of the difference between sample means.
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The number of degrees of freedom for the test statistic t=(x¯μ)s/n is
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A random sample of ten students is taken and their marks in a particular subject are recorded. The average mark is 60 with standard deviation 6.5. Test the hypothesis that the average mark of students is 55.
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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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Write the test statistic to test the difference between normal population means.
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Paired t-test is applicable when the observations in both the samples are
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Standard error of difference between two sample means in the case of small samples is
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If the size of the sample is larger than 30, the t-distribution tends to

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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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Write down the procedure to test significance for equality of means of two normal populations based on small samples.