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

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

A random sample of 10 observations is selected from the first normal population and 8 from the second normal population. For a one-tailed test of hypothesis at the .01 significance level to determine if there is a difference in the population means, the degree of freedom isQuestion 4Select one:a.17b.18c.None of the aboved.16

A random sample of 10 observations is selected from a normal population with an unknown standard deviation. To conduct a test of hypothesis about the population mean the appropriate degrees of freedom isQuestion 3Select one:a.10b.None of the abovec.11d.9Clear my choice

In carrying out a one-sample t-test for a mean, the hypotheses H0:mu=10 against HA:mu>10 were tested.A sample of size 21 was used, giving a t-statistic of 2.00.Determine the P-value associated with this test.

Two Independent simple random samples are taken to test the difference between the means of two populations. The standard deviations are not known, but are assumed to be equal. The sample sizes are n1 = 15 and n2 = 35. The correct distribution to use is the t distribution with 51 degrees of freedom z distribution with 50 degrees of freedom z distribution with 49 degrees of freedom t distribution with 48 degrees of freedom