Tests the claim that p1≠p2. Assume the samples are random and independent. x1=26x6 ; x2=11 n1=58 ; n2=39   1.) At α=0.04 , Use the distribution table to find the critical values for the rejection region Zc=±

To test H0​: μ=50 versus H1​: μ<50​, a random sample of size n=23 is obtained from a population that is known to be normally distributed.     If x=46.6 and s=11.8​, compute the test statistic.

Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 43 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.50 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit     1 upper limit     2 margin of error     3 (b) What conditions are necessary for your calculations? (Select all that apply.) n is large the distribution of weights is normal σ is known the distribution of weights is uniform σ is unknown (c) Interpret your results in the context of this problem. 1% of the intervals created using…

A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 54 women over the age of 50 used the new cream for 6 months. Of those 54 women, 43 of them reported skin improvement(as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 60% of women over the age of 50? Test using α=0.05. test statistics z=   The final conclustion is A. There is not sufficient evidence to reject the null hypothesis that p=0.6. That is, there is not sufficient evidence to reject that the cream can improve the skin of more than 60% of women over 50.B. We can reject the null hypothesis that p=0.6 and accept that p>0.6. That is, the cream can improve the skin of more than 60% of women over 50.