True or False Using a given sample data a 90 confidence inte

True or False Using a given sample data, a 90% confidence interval for estimating y will be wider than a 80% confidence interval. The level of significance of a test is the same as the probability of the type I error expressed in percent form. If correlation coefficient r is negative, there is a negative linear relationship between the two variables and the values of two variables move in the opposite directions. If a random sample of size n=50 observations is drawn from a large population with mu = 63, then the distribution of the sample mean x has also the same mean 63. In a paired experiment with 6 pairs, the degrees of freedom for the t-test are 10. In a test of independence with n = 101, the number of rows r = 3, and the number of columns c = 4, the degrees of freedom for the chi-square test are 100. In a test of hypotheses, if P-value LE a, the null hypothesis H0 is rejected. A sample of size 12 is drawn from a normal population with unknown standard deviation, to test the hypothesis about the mean. In this case we will use the Z - test.

Solution

degrees of freedom of chi-square test = (r-1) * (c-1)

= 2 *3 =6

hence false

True , since P-value < alpha implies that H1 is correct

hence reject H0

False,

since standard deviation is unknown we use t-test