A researcher claims that the mean cost of raising a child from birth to age 2 by husbandwife families in the U.S. is $13,960. A
1 answer:
Answer:
Yes, sufficient evidence exists to reject the proposal.
Step-by-step explanation:
This requires a single mean test to determine if the average expense of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960.
The hypotheses are:
H₀: The average expense of raising a child from birth to age 2 by husband-wife families in the U.S. is $13,960, or µ = $13,960.
Hₐ: The average expense of raising a child from birth to age 2 by husband-wife families in the U.S. differs from $13,960, or µ ≠ $13,960.
Provided is the summary of information:
The computed test statistic is:
The test statistic equals -2.24.
We will determine the p-value for this test statistic at a 10% significance level using the following calculations:
Consult the z-table.
The calculated p-value stands at 0.0251 < 0.10, prompting the null hypothesis to be rejected.
Conclusion:
Since the null hypothesis has been rejected at the 10% significance level, it can be concluded that sufficient evidence exists to refute the claim.
The average expense of raising a child from birth to age 2 by husband-wife families in the U.S. does not equal $13,960.
You might be interested in
Answer:
In this scenario, the solution for n is determined to be 16 when rounded up to the closest integer
Step-by-step explanation:
The following information has been provided for this case:
symbolizes the population standard deviation
signifies the preferred margin of error
The formula for the margin of error of the actual mean is given as:
(a)
In this case, the margin of error (ME) is 0.03, and to find n, we rearrange equation (a) to get:
(b)
With a confidence level of 80%, and the significance level being and
, the critical value is
. Plugging in these values into formula (b) results in:
Thus, the solution for this situation results in n=16, rounded to the nearest whole number
Answer:
Tan(b°) = 3/4, which is equivalent to three fourths (C).
Step-by-step explanation:
Triangle JKL is a right triangle with angle K being the right angle and angle L equal to b°.
We will employ SOHCAHTOA principles from trigonometry to calculate the sides' values.
For triangle ∆JKL:
Sin(b°) = opposite/hypotenuse
Sin(b°) = 3/5
Cos(b°) = adjacent/hypotenuse
Cos(b°) = 4/5
Tan(b°) = 3/4.
From the earlier information, we have the values for each side of triangle ∆JKL.
Please refer to the attached diagram for the triangle (1).
Triangle ∆JKL is scaled with a factor of 2.
This implies multiplying each side of ∆JKL by 2, resulting in:
Opposite side = 2(3) = 6
Adjacent side = 2(4) = 8
Hypotenuse = 2(5) = 10.
To find tan(b°) for the new triangle, we use the tangent ratio:
Tan(b°) = opposite/adjacent.
Tan(b°) = 6/8.
Tan(b°) = 3/4.
Find the diagram for the new triangle included (2).
Diagram 3 provides a depiction of both triangles.
As shown, the angle remains unchanged when a triangle is scaled by a factor.
Thus, we conclude that tan(b°) = three fourths (C).
Answer: Children who weigh 10 pounds require 12 teaspoons, those at 15 pounds need 18 teaspoons, and for 30 pounds, it is necessary to have 36 teaspoons.
Step-by-step explanation:
We have a recommended dose of 40 mg per 2.2 pounds of weight, given in three doses throughout the day every 8 hours.
Thus, for a single pound, the daily required dosage is calculated as .
Each individual dose corresponds to of the drug.
This means for one pound, the dosage needed per dose is 6.06 ml.
Thus, for 10 pounds, the calculation is 10 x 6.06 ml = 60.6 ml
To convert ml to teaspoons, knowing that 1 teaspoon equals 5 ml, we find: (60.6 ml ÷ 5) = 12.12 ≈ 12 teaspoons.
For a weight of 15 pounds, the drug requirement is 15 x 6.06 ml = 90.9 ml.
This translates to (90.9 ml ÷ 5) = 18.18 ≈ 18 teaspoons.
For the weight of 30 pounds, it is calculated as 30 x 6.06 ml = 181.8 ml.
Converting this gives us (181.8 ml ÷ 5) = 36.36 ≈ 36 teaspoons.
Therefore, children weighing 10 pounds need 12 teaspoons, those at 15 pounds require 18 teaspoons, and those at 30 pounds need 36 teaspoons.
Answer:
The correct answer is (A) $304.47.
Step-by-step explanation:
The formula for calculating the future value (FV) of an amount (A), compounded daily at an interest rate of r%, over a period of n years is:
The provided information is:
A = $300
r% = 1.48%
n = 1 year
Calculate the future value as shown:
Thus, the balance at the end of 1 year totals $304.47.
The correct choice is (A).