The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales representatives make an average of 41 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 38 sales representatives reveals that the mean number of calls made last week was 42. The standard deviation of the sample is 3.9 calls. Using the 0.025 significance level, can we conclude that the mean number of calls per salesperson per week is more than 41? H0 : μ ≤ 41 H1 : μ > 41 1. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic 2. What is your decision regarding H0? The mean number of calls is than 41 per week.

Step-by-step explanation:

For the null hypothesis,

H0 : μ ≤ 41

For the alternative hypothesis,

H1 : μ > 41

Looking at the alternative hypothesis, this a a right tailed test.

Since no population standard deviation is given, the distribution is a student's t.

Since n = 38,

Degrees of freedom, df = n - 1 = 38 - 1 = 37

t = (x - µ)/(s/√n)

Where

x = sample mean = 42

µ = population mean = 41

s = samples standard deviation = 3.9

The test statistic would be

t = (42 - 41)/(3.9/√38) = 1.58

We would determine the p value using the t test calculator. It becomes

p = 0.28

Since alpha, 0.025 < than the p value, 0.28, then we would fail to reject the null hypothesis. Therefore, At a 2.5% level of significance, the sample data did nor show significant evidence that the mean number of calls is more than 41 per week.

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.

emily solved for a part when she should have solved for the whole. 875,000 should be the numerator of the equivalent ratio. 70 x 12,500 is 875,000. so the answer is 100 x 12,500 which is 1,250,000.