Solve 5[8-(9x-7)]+6x=0
1 answer:
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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: A. Approximately 0.017 pounds
Step-by-step explanation:
Formula to find the margin of error :
, where z* = critical value for confidence interval , s= standard deviation , n= sample size.
As per given , we have
s= 0.15 pound
n= 300
Critical value for 95% confidence = 1.96
Then, Margin of error for 9%% confidence interval will be :
Hence, they can expect a margin error of 0.017 pound (approximately.)
Thus , the correct answer is A. Approximately 0.017 pounds