Answer:
Observe that f(x) is a continuous function when because is a polynomial. The possible problem may occur in x=1.
Then, f(x) is discontinuous in x=1 if the limits of f to the right and the left of 1 exist and are different or if some of those limits doesn't exist.
Let's calculate the limits:
Since, then f(x) is discontinuous in x=1.
Answer:
Yes, there enough evidence to reject the claim.
Step-by-step explanation:
Here we need to perform a test for single mean to determine whether the mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960.
The hypothesis is:
<em>H₀</em>: The mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960, i.e. µ = $13,960.
<em>Hₐ</em>: The mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960, i.e. µ ≠ $13,960.
The information provided is:
The test statistic is:
The test statistic value is -2.24.
Compute the <em>p</em>-value for this test statistic value at 10% level of significance as follows:
Use the <em>z</em>-table.
The calculated <em>p</em>-value is, 0.0251 < 0.10, therefore the null hypothesis will be rejected.
<u>Conclusion</u>:
As the null hypothesis is rejected at 10% level of significance it can be concluded that there enough evidence to reject the claim.
The mean cost of raising a child from birth to age 2 by husband-wife families in the U.S. is different from $13,960.