TheTh ​ t-distribution has actually much less spread as the levels of flexibility increase​ because, as n​ rises, s becomes closer to sigma by the law of large numbers.As the sample dimension n​ boosts, the density curve of t gets closer to the typical normal density curve. The variability presented into the​ t-statistic becomes much less.

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If we perform not reject the null hypothesis once the statement in the different hypothesis is​ true, we have made a Type​ _______ error.
TYPE IIA Type I error occurs if the null hypothesis is rejected​ when, in​ fact, the null hypothesis is true. A Type II error occurs if the null hypothesis is not rejected​ once, in​ fact, the different hypothesis is true.
If a hypothesis is tested at the = 0.05 level of​ meaning, what is the probability of making a kind I​ error?
falseAlthough sample data is supplied to test the null​ hypothesis, it cannot be proclaimed with​ 100% certainty that the null hypothesis is true. It can just be established whether the sample information supports or does not assistance the null hypothesis.
The tail of a test is based on the sign of the alternate hypothesis.For a left tailed test, the sign of the alternate hypothesis is much less than For a right-tailed test, the sign of the alternate hypothesis is better than For a two-tailed test, the authorize of the alternate hypothesis is not equal to
The _______ represents the intended propercent of intervals that will certainly contain the parameter if a huge number of various samples of size n is obtained. It is deprovided _____
at least at ​ 80% of intended frequencies higher than or equates to 5;all meant frequencies better than or equals1
TheTh ​ chi-square goodness-of-fit tests are constantly best tailed because the numerator in the test statistic is​ squared, making eextremely test​ statistic, other than a perfect​ fit, positive.

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If the intended count of a category is less than​ 1, what deserve to be done to the categories so that a​ goodness-of-fit test can still be​ performed?
The null hypothesis is rejected once the​ P-worth is tiny. When the​ P-worth is​ big, the null hypothesis is not rejected.  