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28 January, 12:02

Which of the following situations would result in a t-test that not likely to be accurate? Choose all that apply

a. data sets that had normal distributions

b. a comparison of means in which one sample set had 10 measurements and the other had 30 measurements

c. a sample size of 5 a sample size of 50 sample

d. sets that differed in variance

e. a comparison of means in which one sample set had 37 measurements and the other had 41 measurements

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  1. 28 January, 13:19
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    The correct options are (c) and (d).

    Explanation:

    The assumptions made before using a t-distribution for a hypothesis test are:

    The scale of the data should be continuous or ordinal. The sample selected should be a simple random sample. The data selected should follow a normal distribution or form a bell-shaped curve when plotted. The sample selected must be large enough so that when plotted a normal distribution curve is formed. Homogeneous variance exists so that the standard deviations of the samples are approximately equal.

    A sample size of 5 a sample size of 50 sample will not be accurate for a t-test because on of the sample size is, 5.

    This sample size is very small and when plotted will not follow a normal distribution.

    The sets that differed in variance will not be accurate for a t-test because for using a t-test homogeneity of variances is assumed.

    Thus, the correct options are (c) and (d).
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