Question

In: Math

One hundred blood samples were taken from 100 individuals. All of the blood samples were run...

One hundred blood samples were taken from 100 individuals. All of the blood samples were run through two machines to determine if the machines were testing samples appropriately. We expect that both machines should yield similar results. Below are the results of the analysis. Assume there are 100 sample and they are normal. Are the two machines similar? Should we check into whether one machine should be replaced? Show all of your work.

Beckman Machine

Coulter Machine

3.

 4.
5. 6.
7. 8.
9. 10.
11. 12.
13. 14.
15. 16.

Solutions

Expert Solution

We use two sample t test. The samples are normally distributed. A two sample t test is used to determineif the means of two groups differ significantly. Here two groups are two machines.

We use minitab to solve the problem.

Steps : stat, basic statistics, two sample-t test.

conclusion : as p-value =0.673 >0.05 we accept the null hypothesis and conclude there is no significant difference in the mean i.e both machines produce similar results. So, no machine should be replaced.

milcah answered 1 year ago
Next > < Previous

Related Solutions

Nine samples were taken from 2 streams, four from one and five from the other and...
Nine samples were taken from 2 streams, four from one and five from the other and the following data were obtained. Pollution lever in stream 1: ppm Pollution level in stream 2: ppm 16 9 12 10 14 8 11 6 Someone claimed that the data proved that stream 2 is less polluted than stream 1. Someone else asked the following questions: When were the data collected? Were the data collected all in one day or on different days? Were...
Two random samples were drawn from members of the U.S. Congress. One sample was taken from...
Two random samples were drawn from members of the U.S. Congress. One sample was taken from members who are Democrats and the other from members who are Republicans. For each sample, the number of dollars spent on federal projects in each congressperson's home district was recorded. Dollars Spent on Federal Projects in Home Districts Party Less than 5 Billion 5 to 10 Billion More than 10 billion Row Total Democratic 6 16 23 45 Republican 11 17 19 47 Column...
Two random samples were drawn from members of the U.S. Congress. One sample was taken from...
Two random samples were drawn from members of the U.S. Congress. One sample was taken from members who are Democrats and the other from members who are Republicans. For each sample, the number of dollars spent on federal projects in each congressperson's home district was recorded. Dollars Spent on Federal Projects in Home Districts Party Less than 5 Billion 5 to 10 Billion More than 10 billion Row Total Democratic 9 11 25 45 Republican 11 19 17 47 Column...
Twenty samples with 100 units each were taken; with the following number of defectives in each...
Twenty samples with 100 units each were taken; with the following number of defectives in each respective sample: 11, 2, 7, 5, 6, 7, 8, 5, 3, 6, 4, 3, 5, 6, 2, 5, 0, 9, 10, and 8. Calculate the center line, upper control limit, and lower control limit for a 3s p-chart. (RE: As your starting point, recall that p-charts represent percentages of defects for samples.) Plot the points on the chart. Comment on whether the process is...
One hundred students were given an Algebra test. A random sample of ten students was taken...
One hundred students were given an Algebra test. A random sample of ten students was taken out of class of 800 enrolled students. The time it took each student to complete the test is recorded below. 22.2, 23.7, 16.8, 18.3, 19.7, 16.9, 17.2, 18.5, 21.0, and 19.7 a. Find the mean, variance and standard deviation for this sample of ten students b. Construct a 95% confidence interval for the population mean time to complete this Algebra test. c. Test if...
One hundred men and 100 women were asked to try a new toothpaste and to state...
One hundred men and 100 women were asked to try a new toothpaste and to state whether they liked or did not like the new taste thirty-two and 26 women said they did not like the new taste does this indicate a difference in preferences between men and women in general?
Above are two readings of systolic and diastolic blood pressures taken from 15 individuals.
male 1st Systolic 1st Diastolic 2nd Systolic 2nd Diastolic 1 132 74 132 82 2 108 70 108 74 3 124 78 134 78 4 116 42 116 48 5 118 76 116 70 6 128 80 128 80 7 132 90 130 92 8 106 64 110 64 female 1 168 46 156 52 2 198 82 192 84 3 110 74 110 76 4 170 94 168 100 5 142 58 140 52 6 168 52 172 54...
1.Water samples were taken from water used for cooling as it was being discharged from a...
1.Water samples were taken from water used for cooling as it was being discharged from a power plant into a river. It has been determined that as long as the mean temperature of the discharged water is at most 150 F, there will be no negative impact on the river's ecosystem. To investigate whether a plant is in compliance with regulations that prohibit a mean discharge water temperature above 150 F, researchers took 50 water samples at randomly selected times...
For all possible samples of 18 values taken from a population with a mean of −36.33...
For all possible samples of 18 values taken from a population with a mean of −36.33 and a standard deviation of 15.26 P(X(mean) > -33.38)=?
Two random samples are taken, one from among UVA students and the other from...
Two random samples are taken, one from among UVA students and the other from among UNC students. Both groups are asked if academics are their top priority. A summary of the sample sizes and proportions of each group answering yes" are given below: UVA (Pop. 1): n1 = 89,\(\hat{p}_{1}\) = 0.81 UNC (Pop. 2): n2 = 86,\(\hat{p}_{2}\) = 0.561 Find a 97.3% confidence interval for the difference P1 – P2 of the population proportions. Confidence interval = _______ 
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT