Question 1 Assume the population has a normal distribution and the number of observations in a rando

Question 1 Assume the population has a normal distribution and the number of observations in a random sample is greater than fifty If a z test is used to test a null hypothesis about the population mean versus the alternative that the true mean is greater than that specified by the null hypothesis, what is the critical value for a one-tailed test? Assume the type one-error rate is 005

Question 2 Assume x is a random variable with mean ? and standard deviation ? Find expressions for the mean and standard deviation of y if this variable is determined by the expression y = 4x +5 (Every value of x is modified by first being multiplied by 4 and then increased by 5

Question 3 Assume normality and use the information given to find the p-value Based on the p-value estimated, determine if the null hypothesis should be rejected at a 01 significance level Select the correct answer if the test statistic in a “two-tailed test” is z= -163 Follow the procedure shown in Business Statistics

a p-value = 09484; fail to reject the null hypothesis

b p-value = 00516; reject the null hypothesis

c p-value = 00516; fail to reject the null hypothesis

d p-value = 00258; reject the null hypothesis