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Forced expiratory volume for 1 sec (FEV 1.0 , liters BTPS ) is a measure of the

ID: 3224396 • Letter: F

Question

Forced expiratory volume for 1 sec (FEV1.0, litersBTPS) is a measure of the total volume of air expelled by the lungs in the first second of a single maximal exhalation. Factors that predict FEV1.0 include gender (males > females), height (taller > shorter), and age (younger > older). FEV1.0 and percent predicted FEV1.0 were measured in EXSC 415 students (n=23 males; n=37 females) as part of the pulmonary function lab. The table below has summary descriptive statistics for females (below row 37) and males (below row 60) which will be useful in answering the questions.

Part A) FEV1.0 and % Predicted FEV1.0 are ratio-level variables. Based on the available data (X±s; X vs. Median)), FEV1.0 appears to be normally distributed for males and females.

            a.         True

            b.         False

Part B) What is the appropriate statistical procedure to test H0: XMales= XFemales for FEV1.0 and % Predicted FEV1.0?

            a.         dependent t-test

            b.         independent t-test

            c.         oneway ANOVA

            d.         repeated measures ANOVA

            e.         Pearson product moment correlation coefficient

Part C) What is the critical statistic to test H0: XMales= XFemales for FEV1.0 and % Predicted FEV1.0 at =0.05 (1 tailed test)?

            a.         1.297

            b.         1.672

            c.         2.002

            d.         2.393

Part D) Select the incorrect statement below.

a.         Based on the criterion for statistical significance in question #35, reject H0: XMales= XFemales for FEV1.0 and conclude within the limits of the data that males have a significantly greater FEV1.0 (4.69±0.73 l) than females (3.33±0.49 l).

            b.         Based on the criterion for statistical significance in question #35, fail to reject H0:     XMales=

XFemales for %Predicted FEV1.0 and conclude within the limits of the data there is no difference between males (103.8±15%) than females (99.78±11%).

c.         The selection of =0.05 as a criterion for statistical significance resulted in greater power compared to =0.01.

            d.         There was no basis for conducting a 1-tailed test.

Gender ID Gender Age (yrs) Ht, (m) FEV LoBTPs Pre FEV Squares of Squares 1 F 20 1.68 3.07 87.2194 0.06887 156.65253 Females F 22 1.65 3.354 103.395 0.0000031 13.4183021 3 F 21 1.68 3.064 91.714 0.074 222 75.005497 4 21 1.60 3.49 112.945 0.02483 17 4.38294 F 21 1.5 2.41 82.179 0.85088 286.08781 R 20 1.60 2.96 95T929 01387 15.316664 F 22 1.63 3.13 98.7382 0.04008 0.9876974 F 22 1.37 2.92 983 165 0.1701 2.003645 10 R 26 1.65 3.23 102.2154 0.0109 61662319 11 F 21 3.76 109.942 018 282 104.234 112 21 1.65 3.444 105.3211 001 157 33.317991 13 21 4.083 113.649 055886 193.6839 5.8944 15 F 21 1.37 3.10 103.679 0.05402 15.378255 16 F 20 1.37 3.31 111.7 3 0.03 145.23 719 17 22 1.5 2.91 106.985 017 32.610276 19 F 22 1.37 2.744 97.5089 035097 9421879 20 21 1.63 3.54 114.493 038139 217.879085 24 22 1.65 3.193 90.8832 0.02029 78.301 423 26 R 29 1.69 3.12 92 0.04513 4.263661 27 F 20 1.63 3.36 96. 3 0.0000076 8.4217713 28 F 21 1.63 4.343 125.797 1.015 679 38951 31 21 1.61 4.317 112.629 1.07655 166 329 5 32 21 3.81 102.695 022807 8.7 1845 34 21 1.65 2.48 70.255 072664 868.89 603 35 22 1.63 3.864 112.65 027 833 172.48 37 F 21 1.6 3.20 100 0.01754 0.071824 m 123.3 369 0.08 Count 37 Mean) 333 243 19.32 Krstandard Deviation) 0.489029 11.00083

Explanation / Answer

Answer:

Part A) FEV1.0 and % Predicted FEV1.0 are ratio-level variables. Based on the available data (X±s; X vs. Median)), FEV1.0 appears to be normally distributed for males and females.

Answer a.         True

            b.         False

Part B) What is the appropriate statistical procedure to test H0: XMales= XFemales for FEV1.0 and % Predicted FEV1.0?

            a.         dependent t-test

           Answer: b.         independent t-test

            c.         oneway ANOVA

            d.         repeated measures ANOVA

            e.         Pearson product moment correlation coefficient

Part C) What is the critical statistic to test H0: XMales= XFemales for FEV1.0 and % Predicted FEV1.0 at =0.05 (1 tailed test)?

            a.         1.297

           Answer: b.         1.672

            c.         2.002

            d.         2.393

Part D) Select the incorrect statement below.

            d.         There was no basis for conducting a 1-tailed test.

Answer:

Separate-Variances t Test for the Difference Between Two Means

(assumes unequal population variances)

Data

Hypothesized Difference

0

Level of Significance

0.05

Population 1 Sample

Sample Size

23

Sample Mean

4.69

Sample Standard Deviation

0.7300

Population 2 Sample

Sample Size

37

Sample Mean

3.33

Sample Standard Deviation

0.4900

Intermediate Calculations

Numerator of Degrees of Freedom

0.0009

Denominator of Degrees of Freedom

0.0000

Total Degrees of Freedom

34.3999

Degrees of Freedom

34

Standard Error

0.1722

Difference in Sample Means

1.3600

Separate-Variance t Test Statistic

7.8970

Upper-Tail Test

Upper Critical Value

1.6909

p-Value

0.0000

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

23

Sample Mean

103.8

Sample Standard Deviation

15

Population 2 Sample

Sample Size

37

Sample Mean

99.78

Sample Standard Deviation

11

Intermediate Calculations

Population 1 Sample Degrees of Freedom

22

Population 2 Sample Degrees of Freedom

36

Total Degrees of Freedom

58

Pooled Variance

160.4483

Standard Error

3.3634

Difference in Sample Means

4.0200

t Test Statistic

1.1952

Two-Tail Test

Lower Critical Value

-2.0017

Upper Critical Value

2.0017

p-Value

0.2369

Do not reject the null hypothesis

Separate-Variances t Test for the Difference Between Two Means

(assumes unequal population variances)

Data

Hypothesized Difference

0

Level of Significance

0.05

Population 1 Sample

Sample Size

23

Sample Mean

4.69

Sample Standard Deviation

0.7300

Population 2 Sample

Sample Size

37

Sample Mean

3.33

Sample Standard Deviation

0.4900

Intermediate Calculations

Numerator of Degrees of Freedom

0.0009

Denominator of Degrees of Freedom

0.0000

Total Degrees of Freedom

34.3999

Degrees of Freedom

34

Standard Error

0.1722

Difference in Sample Means

1.3600

Separate-Variance t Test Statistic

7.8970

Upper-Tail Test

Upper Critical Value

1.6909

p-Value

0.0000

Reject the null hypothesis

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