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Your answer will be is :


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The answer is 3.66 (it’s a positive number because the two negatives cancel each other out)
Answer:
a. The null and alternative hypothesis can be written as:

b. A Type I error is made when a true null hypothesis is rejected. In this case, it would happen if it is concluded that the actual mean outstanding credit card debt of college undergraduate is significantly less than $3173, when in fact it does not.
A Type II error is made when a false null hypothesis is failed to be rejected. In this case, the actual mean outstanding credit card debt of college undergraduate is in fact less than $3173, but the test concludes there is no enough evidence to claim that.
Step-by-step explanation:
We have a prior study of the mean outstanding credit card debt of college undergraduate that states that it was $3173 in 2010.
A researcher believes that this amount has decreased since then.
Then, he has to perform a hypothesis test where the null hypothesis states that the mean is still $3173 and an alternative hypothesis that states that the actual credit card debt is significantly smaller than $3173.
The null and alternative hypothesis can be written as:

Answer:
Area of the sector = 31.42 cm²
Step-by-step explanation:
Formula for the area of a sector is,
Area = 
Here θ = central angle subtended by the arc (in radians)
r = radius of the circle
Now substitute the values given in the formula,
Area of the sector = 
= 
= 
= 10π
= 31.416
≈ 31.42 cm²