Print Calculator Periodic Table Question 15 of 17 100 4 For the final project of
ID: 3365583 • Letter: P
Question
Print Calculator Periodic Table Question 15 of 17 100 4 For the final project of an analytical chemistry laboratory course, the students were asked to quantify the lead (Pb2) content in a drinking water sample. To receive a passing grade for the project, the students must produce a result (Pb2 concentration) that agrees with the result obtained by the course professor, who was using the same method, at the 95% confidence level. The mean (x), standard deviation (s) and number of replicate measurements (n) are shown below for the data obtained by the professor (p) and one student (s) 6 485 chosen at random x,-2.510 ppb Xp-3.160 ppb "," 6 "P-6 Student: 4°0.249 ppb Professor, s,-0.160 ppb Calculate the Fvalue. Are the standard deviations from the professor's and student's data sets significantly different from each other at the 95% confidence level (Yes or No)? The value of Fue can be found in the able of critical F values 10 0 O Yes No Number 11 0 eale 12 0 13 14 0 o Calculate the value of tak, to compare the data sets from the student and the professor at the 95% confidence level. Number O Yes Did the student receive a passing grade for the final project? O No A list of t values can be found in the Student's ttable. 15 0 heck Answer eNat ijfet 11 O Previous ®Gve Up & View Solution 16 0 aboutus carsers privacy policy terms of use contact us help © 2011-2017 Sapling Learning, Inc. Motar mass or cacos 1*40.08 + 1*12.01 + 3*16.0 = 100.09 g/mol mass of CaCO3, m = number of mol * molar mass TUTORS CHAT 3:50 PMExplanation / Answer
Result:
Comparing standard deviations,
Fcalc =2.422 No
( calculated F=2.422 < critical F =5.05, Ho is not rejected.)
Comparing mean scores,
t calc= -5.3794, No
( critical t=(-2.228, 2.228) , Ho is rejected.)
F Test for Differences in Two Variances
Data
Level of Significance
0.05
Larger-Variance Sample
Sample Size
6
Sample Variance
0.062
Smaller-Variance Sample
Sample Size
6
Sample Variance
0.026
Intermediate Calculations
F Test Statistic
2.4219
Population 1 Sample Degrees of Freedom
5
Population 2 Sample Degrees of Freedom
5
Upper-Tail Test
Upper Critical Value
5.0503
p-Value
0.1769
Do not reject the null hypothesis
Pooled-Variance t Test for the Difference Between Two Means
(assumes equal population variances)
Data
Hypothesized Difference
0
Level of Significance
0.05
Population 1 Sample
Sample Size
6
Sample Mean
2.51
Sample Standard Deviation
0.249
Population 2 Sample
Sample Size
6
Sample Mean
3.16
Sample Standard Deviation
0.16
Intermediate Calculations
Population 1 Sample Degrees of Freedom
5
Population 2 Sample Degrees of Freedom
5
Total Degrees of Freedom
10
Pooled Variance
0.0438
Standard Error
0.1208
Difference in Sample Means
-0.6500
t Test Statistic
-5.3794
Two-Tail Test
Lower Critical Value
-2.2281
Upper Critical Value
2.2281
p-Value
0.0003
Reject the null hypothesis
F Test for Differences in Two Variances
Data
Level of Significance
0.05
Larger-Variance Sample
Sample Size
6
Sample Variance
0.062
Smaller-Variance Sample
Sample Size
6
Sample Variance
0.026
Intermediate Calculations
F Test Statistic
2.4219
Population 1 Sample Degrees of Freedom
5
Population 2 Sample Degrees of Freedom
5
Upper-Tail Test
Upper Critical Value
5.0503
p-Value
0.1769
Do not reject the null hypothesis
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