Answer:
Test statistic |Z| = |-2.21|
calculated value Z = 2.21 > 1.96 at 0.05 level of significance
Null hypothesis is rejected
The researchers state that, in the U.S., today’s undergraduates not study an average of 14 hours per week
Step-by-step explanation:
Step(i):-
Given Mean of the Population' μ' = 14 hours per week
Given random sample size 'n'= 35
Mean of the sample (x⁻) = 16.7 hours per week
standard deviation of the Population (σ) = 7.2 hours per week
Level of significance = 0.05
Step(ii):-
Null hypotheses :H₁: µ = 14
Alternative Hypothesis : H₂: µ ≠ 14
Test statistic
[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{14-16.7}{\frac{7.2}{\sqrt{35} } }[/tex]
Z = -2.21
|Z| = |-2.21|
The tabulated value
Z₀.₀₅ = 1.96
calculated value Z = 2.21 > 1.96 at 0.05 level of significance
Null hypothesis is rejected
The researchers state that, in the U.S., today’s undergraduates not study an average of 14 hours per week