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Artist 52 [7]
3 years ago
8

Tarzan loaded 45 trucks in 15 hours. Find his loading speed in trucks per hour

Mathematics
1 answer:
Anarel [89]3 years ago
8 0

Answer:

His loading speed would be 3 trucks in 1 hour

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Answer:

The confidence interval would be more narrow if the confidence level were changed to 90%

Step-by-step explanation:

For a small sample size of n = 18 a pivotal quantity that we can use to form a confidence interval for \mu is given by T=\frac{\bar{X}-\mu}{S/\sqrt{n}} that has a t distribution with (n-1) degrees of freedom. We find a 100(1-\alpha)% confidence inverval using P(-t_{\alpha/2}\leq T \leq t_{\alpha/2}) = 1-\alpha, where t_{\alpha/2} is the t-value such that there is an area equal to \alpha/2 above this t-value and below the curve of the density of the t distribution with n-1 df. We find a 95% confidence interval with P(-t_{0.025}\leq T\leq t_{0.025}) = 0.95 and we find a 90% confidence interval with P(-t_{0.05}\leq T\leq t_{0.05}) = 0.90. Because of -t_{0.025} < -t_{0.05} and t_{0.05} < t_{0.025}, the confidence interval would be more narrow if the confidence level were changed to 90%.

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