The t distribution approaches the standardised normal distribution when the number of degrees of freedom increases.Question 14Select one:a.Falseb.True

If two populations are independent and each normally distributed and the population standard deviations are not equal, the test statisticT=X¯1−X¯2−(μ1−μ2)S21n1+S22n2‾‾‾‾‾‾‾‾√𝑇=𝑋¯1−𝑋¯2−(𝜇1−𝜇2)𝑆12𝑛1+𝑆22𝑛2 follows a:Question 4Select one:a.t-distribution with n1+n2−2 degrees of freedomt-distribution with 𝑛1+𝑛2−2 degrees of freedom b.standard normal distribution with n1+n2−2 degrees of freedomstandard normal distribution with 𝑛1+𝑛2−2 degrees of freedom c.t-distribution with degrees of freedom equal to (S21n1+S22n2)2(S21/n1)2n1−1+(S22/n2)2n2−1t-distribution with degrees of freedom equal to (𝑆12𝑛1+𝑆22𝑛2)2(𝑆12/𝑛1)2𝑛1−1+(𝑆22/𝑛2)2𝑛2−1 d.t-distribution with n−1 degrees of freedom

With more degrees of freedom a t-distribution becomes:Question 6Answera.More flat, with thicker tailsb.More left skewed, with a longer left tailc.More right skewed, with a longer right taild.More pointy, with thinner tails

The student t-distribution approaches the normal distribution as the:Group of answer choicesnumber of degrees of freedom increases.sample size decreases.number of degrees of freedom decreases.the significance level increases.

We wish to conduct a hypotheses test of the formH0: μ1 - μ2 = 0 vs H0: μ1 - μ2 > 0Both populations are assumed normal with equal variance. We draw 15 observations for the first sample and 12 observations for the second sample. State the distribution of the test statistic for the test.Question 1Select one:a.t-distribution with 26 degrees of freedomb.t-distribution with 27 degress of freedomc.t-distribution with 25 degrees of freedomd.normal distribution with 25 degrees of freedomClear my choice

Of the following, which shows how the general t statistic can be written?Question 1Answera.b.t = (estimate– hypothesisedvalue)c.d.