TRUE or FALSE? WHY?
1) When the test statistic is t and the number of degrees of freedom is > 30, the critical value of t is very close to that of z (the standard normal).
2) The t-test can be applied with absolutely no assumptions about the distribution of the population.
1) Correct option "True"
(Yes when sample size is grater than 30 than critical value of t is very close to that of z)
2) Correct option "False"
( Here we take assumption about the sample size )
TRUE or FALSE? WHY? 1) When the test statistic is t and the number of degrees...
True or false? When the population variances are known, the test statistic that we use to compare two population means using two independent samples follows the standard normal distribution. True or false? A paired t-test with two columns of 8 observations in each column should use d.f =7
True/False Mark each of the following with a (+) for true and a (-) for false. ____1. The paired t-test has no underlying distribution assumptions. ____2. The chi-square statistic is always greater than or equal to zero. ____3. If the population is normal, we would still prefer a nonparametric test. ____4. The following 2X2 table would have a chi-square test statistic of zero: ____5. A criticism of the sign test is that magnitudes have no importance. ____6. The sign test...
You can use both the t-statistic and the Z-statistic to test hypotheses about the mean of a population. The test that uses the t-statistic is typically referred to as a t test, while the test that uses the z-statistic is commonly called a z test. IO Which of the following statements are true of the t-statistic and the t distribution? Check all that apply. The formula for the t-statistic is t = (x - 1) / s/vn. When the population...
3. Testing a population mean The test statistic (Chapter 11) Aa Aa You conduct a hypothesis test about a population mean u with the following null and alternative hypotheses: Ho: u-25.8 H1: <25.8 Suppose that the population standard deviation has a known value of a observations, which provides a sample mean of % 30.7. 17.8. You obtain a sample of n =62 Since the sample size large enough, you assume that the sample mean X follows a normal distribution. Let...
5. Using the Kolmogorov-Smirnov two-sample test, show that the t statistic with large degrees of freedom can be approximated by the standard normal distribution. How large should the degrees of freedom be? Hint: Do simulations on a large sample.
True/false With infinite degrees of freedom the t distribution is identical in shape to the unit normal z distribution.
a) true b) false 42. For a chi-square distributed random variable with 10 degrees of freedom and a level of sigpificanoe computed value of the test statistics is 16.857. This will lead us to reject the null hypothesis. a) true b) false 43. A chi-square goodness-of-fit test is always conducted as: a. a lower-tail test b. an upper-tail test d. either a lower tail or upper tail test e. a two-tail test 44. A left-tailed area in the chi-square distribution...
When Chi-square distribution is used as a test of independence, the number of degrees of freedom is related to both the number of rows and the number of columns in the contingency table. Select one: True False Question 2 Answer saved Points out of 1.000 Flag question Question text A goodness of fit test can be used to determine if membership in categories of one variable is different as a function of membership in the categories of a second variable...
(a)-1,305 b)-0.872 #) Find the standardized test statistic + for a sample with M= 20, x= 10.9, 5= 2.0, and d.o.on if H, pl. 11.3. round answer 3 decimal places. C)-0.894 d)-1.233 #2) if a sample of 12 is drawn from a Normal population, what should be used as the test statistic? a) to with 13 degrees of freedom b) Zo with Il degrees of freedom C) to witn il degrees of freedom d) zo with lg digues of freedom...
True or False? when sample data occurs in pairs, an advantage of choosing a paired t-test is that it tends to increase the power of a test, as compared to treating each sample independently. True or False? When testing the difference between two population proportions, it is necessary to use two samples with the same sample size. True or False? If the sample proportions are p1=6/90 and p2=4/100, we can assume normality for the two sample proportions in a test...