Random collections of nine different solutions of a calcium compound were given to two laboratories, A and B. Each laboratory measured the calcium content (in mmol per liter) and reported the results. The data are paired by calcium compound.Compound123456789Lab A (x)13.329.7612.7611.318.5810.6115.6614.0311.57Lab B (y)13.139.7412.6311.448.6910.6015.7214.2211.60

(a) Rank-order the data using 1 for the lowest calcium reading. Make a table of ranks to be used in a Spearman rank correlation test.

CompoundLab A (x)Lab B (y)d=xyd²123456789d²=

(b) Use a 5% level of significance to test for a monotone relation (either way) between ranks. Interpret the results. What is the level of significance?

State the null and alternate hypotheses.

H₀:_s= 0;H₁:_s0

H₀:_s= 0;H₁:_s< 0

H₀:_s= 0;H₁:_s> 0

H₀:_s0;H₁:_s= 0.

Compute the sample test statistic. (Round your answer to three decimal places.)

Find theP-value interval of the sample test statistic.

P-value > 0.1

0.05 <P-value < 0.1

0.01 <P-value < 0.05

0.002 <P-value < 0.01

P-value < 0.002

What can you conclude from the test?

At the= 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.

At the= 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

At the= 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.

At the= 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

Interpret your conclusion in the context of the application.

Fail to reject the null hypothesis, there is sufficient evidence to conclude that there is a monotone relationship between the calcium measurements as measured by the labs.

Fail to reject the null hypothesis, there is insufficient evidence to conclude that there is a monotone relationship between the calcium measurements as measured by the labs.

Reject the null hypothesis, there is sufficient evidence to conclude that there is a monotone relationship between the calcium measurements as measured by the labs.

Reject the null hypothesis, there is insufficient evidence to conclude that there is a monotone relationship between the calcium measurements as measured by the labs.