8. +0 -2 points MIntrostat8 7.E.140 My Notes Ask Your Teacher Do various occupat

Question

8. +0 -2 points MIntrostat8 7.E.140 My Notes Ask Your Teacher Do various occupational groups differ in their diets? A British study of this question compared 91 drivers and 65 conductors of London double decker buses. The conductors jobs require more physical activity. The article reporting the study gives the data as "Mean daily consumption t (se) Some of the study results appear below. Drivers Conductors Total calories 2826 t 13 2843 t 18 Alcohol (grams) 0.24 t 0.08 0.35 t 0.14 (a) Give x and s for each of the four sets of measurements. (Give answers accurate to 3 decimal places. Drivers Total Calories: x Drivers Alcohol: x Conductors Total Calories: x Conductors Alcohol x (b) Is there significant evidence at the 5% level that conductors consume more calories per day than do drivers? Use the conservative two-sample t method to find the t-statistic, and the degrees of freedom. (Round your answer fort to three decimal places.) Conclusion O Reject Ho O Do not reject Ho

Explanation / Answer

Solution:

n1 = sample size of driver = 91
n2 = sample size od conductors = 65

a) Drivers total Calories: x = 2826
S = s/sqrt(n1) => s1 = S * sqrt(n1) = 13* sqrt(91) = 124.01
Driver Alcohol: x = 0.24
S = s1/ sqrt(n1) => s1 = S* sqrt(n1) = 0.08 * sqrt(91) = 0.7634
Conductors Total calories:x = 2843
s2 = S *sqrt(n2) = 13* sqrt(65) = 104.80
Conductors Alcohol : x = 0.34
s2 = S *sqrt(n2) = 0.14 * sqrt(65) = 1.1287

b) H0: 1 2 vs H1: 1 < 2
t = x2- x2/sqrt( s1^2/n1+s2^2/n2) = 2843 - 2826/ sqrt( 124.01^2/91 + 104.80^2/65)
= 17/18.3838008
= 0.9247
df = 91+ 65-2 = 154
Conclusion: The estimate p- value is 0.9247 . Hence we can conducted that there is no significance of calories differences between drivers and conductors.
c) t = 0.9247
Reject H0

d) x ± 1.96 S2/n2 = 0.35 ± (1.1287/65)
= (0.2100, 0.4899)
e) (0.24- 0.34)± 0.5758 0.7634^2/91 + 1.1287^2 /65)
= -0.1 ± 0.0928
= (-0.1928, -0.0072)

Related Questions

Navigate

• Browse (All)
• Browse 8
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.