For the given data, (a) find the test statistic, (b) find the standardized test statistic, (c) decide whether the standardized test statistic is in the rejection region, and (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent.
Claim: μ1 < μ2, α = 0.01. Sample statistics: x^-1 = 1240, n1 = 40, x^-2 = 1200 and n2 = 80. Population statistics: σ1 = 65 and σ2 = 110.
(a) The test statistic for μ1 - μ2 is .
(b) The standardized test statistic for μ1 - μ2 is . (Round to two decimal places as needed.)
(c) Is the standardized test statistic in the rejection region?
O Yes Ο Nο
(d) Should you reject or fail to reject the null hypothesis?

Complete Question

The complete question is shown on the first uploaded image  

a

  The test statistic for μ1 - μ2 is  

b

  The standardized test statistic for μ1 - μ2 is  

c

  No

d

    Fail to reject null hypothesis   At the 1% significance level , there is insufficient evidence to support the claim

Step-by-step explanation:

From the question we are told that

The given data is  

Now the test statistic is mathematically evaluated as

 The standardized test statistic is mathematically represented as

substituting values

Now  the standardized test statistic is not in the rejection region because the z value of    is  2.33 and  the standardized test statistic  is greater than that hence it is not in the rejection region

This implies that the test statisties failed to reject the null hypothesis at significance level of 0.01 , there insufficient evidence to support the claim

87%

step-by-step explanation:

apex answer

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!