Plot √0.5 on the number line.
2 answers:
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Answer:
The calculated value t = 1.76 < 2.131 at 0.05 level of significance
Null hypothesis is accepted
The manufacturer’s claim is greater than 560 bags per hour
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given sample size 'n' =16
Given the manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour.
mean of the Population 'μ' = 560
Mean of the sample Χ⁻ = 538
sample standard deviation' S' = 50
<em><u>Null hypothesis</u></em><em>:H₀:μ > 560</em>
<em><u>Alternative Hypothesis</u></em><em>:H₁ : :μ < 560 (left tailed test)</em>
<em>Test statistic</em>
|t| = |-1.76| = 1.76
<em>Degrees of freedom </em>
<em>γ = n-1 =16-1 =15</em>
<em><u>Conclusion</u></em>:-
The calculated value t = 1.76 < 2.131 at 0.05 level of significance
Null hypothesis is accepted
The manufacturer’s claim is greater than 560 bags per hour
Answer:
The p value for this case would be:
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39
Step-by-step explanation:
Information given
n=100 represent the random sample taken
X=36 represent the number of people that take E supplement
estimated proportion of people who take R supplement
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true proportion is equatl to 0.39 or not, the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info we got:
The p value for this case would be:
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39