A bicycle factory installs about 400 tires per day. Tires are installed Monday through Friday for 8 hours per day. The manager o
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Answer:
The value calculated is Z = 2.53, which exceeds 1.96 at a significance level of 0.05
This leads to the rejection of the null hypothesis H₀
Thus, we accept the alternative hypothesis
This implies that individuals participating in Weight Reducers will lose more than 10 pounds
Step-by-step explanation:
Step(i):-
The size of the random sample 'n' = 50
The new weight-loss program, Weight Reducers International, claims that members will shed an average of 10 pounds within the initial two weeks, with a standard deviation of 2.8 pounds.
Population mean 'μ' = 10 pounds
Population standard deviation 'σ' = 2.8 pounds
Sample mean 'x⁻' = 9
Significance level ∝ = 0.05
Step(ii):-
Null hypothesis: H₀: μ < 10
Alternative hypothesis: H₁: μ > 10
Test statistic calculation
The determined Z value is 2.53
In this case, the critical value Z is 1.96 at the 0.05 significance level
Step(iii):-
Calculated Z value of 2.53 is greater than 1.96 at a significance level of 0.05
Consequently, we reject the null hypothesis H₀
We accept the alternative hypothesis
Conclusion:-
We determine that individuals who sign up for Weight Reducers will experience a weight loss exceeding 10 pounds