Write two equivalent expressions to the following radical expression: (√104 * √124)8
1 answer:
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Answer:
Test statistic = 3.1587
Step-by-step explanation:
We are given that the Toy-lot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A).
Also, a sample of eleven motors was tested, and it was found that the mean current was x = 1.20 A, with a sample standard deviation of s = 0.42 A.
So, Null Hypothesis, :
= 0.8 { claim of 0.8 A is not low}
Alternate Hypothesis, :
> 0.8 { claim of 0.8 A is too low}
Now, the test statistics used here will be;
T.S. = ~
where, X bar = sample mean = 1.20 A
s = sample standard deviation = 0.42 A
n = sample size = 11 motors
So, Test statistics = ~
= 3.1587
At 1% level of significance, t table gives a critical value of 2.764 at 10 degree of freedom. Since our test statistics is higher than the critical value so we have sufficient evidence to reject null hypothesis .
Therefore, we conclude that Toy-lot claim of 0.8 A is too low.
Answer:
The probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is P=0.412.
Step-by-step explanation:
We know the population proportion π=0.8, according to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation.
If we take a sample from this population, and assuming the proportion is correct, it is expected that the sample's proportion to be equal to the population's proportion.
The standard deviation of the sample is equal to:
With the mean and the standard deviaion of the sample, we can calculate the z-value for 0.79 and 0.81:
Then, the probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is: