Answer:
The answer for (a)(-5.96, 2.36) (b) -1.8, since the difference is negative, it can be said or determined that the age of the grandfather is older
Step-by-step explanation:
Solution
(a) From the information given,
n = 10, d =-1.8, sd = 5.81
The 95% confidence interval for the population mean difference age is computed as follows:
CI =d ±tα/2,n-1 (sd/√n)
= -1.8±t₀.₀₅/₂,₁₀₋₁ (5.81/√10)
=-1.8± 2.26 (1.84)
= -1.8 ± 4.16
= (-5.96, 2.36)
Now,
There is a 95% confidence that the mean difference in age of maternal grand parents of high school students lies between - 5.96 and 2.36
(b) The age difference is calculated as the age of grand mother minus age of grand father. the point of estimate for the mean difference is as follows:
Xd = XGM - XGF
= 69.8 -71.6
=-1.8
Therefore, since the difference is negative, it can be said or determined that the age of the grandfather is older
Note: kindly find an attached copy of the complete question and table to this example below.
Answer:
30
Step-by-step explanation:
the answer has to be greater than 6 and less than 36
15+21=36, 21-15=6
Answer:
448
Step-by-step explanation:
This is a proportion question. Keep the heights on one side of the proportion and the shadow length on the other.
height ratio shadow ratio
40 cm / x = 25 / 280 Cross multiply
25x = 40 * 280 Combine
25x = 11200 Divide by 25
x = 11200/25
x = 448 cm
The height of the corn plant is 448 cm
Answer: The maximum revenue is $1,000,000.
The function that is given is a quadratic equation and the graph would be an upside down parabola.
Therefore, the maximum revenue would be at the vertex of the parabola.
To find the vertex, we can use the expression -b/2a to find the x-value.
It would be -4000/2(-4) = 500
Now, input 500 for p and you will get a revenue of 1,000,000.
At x=3 the y output is 7.428. At x=5 the y output is 7.729. Since te rate of change is rise/run, run being the x, you know that it is (something) over 2. The rise would be the difference of the two y outputs. 7.729-7.428= 0.301. Therefore, 0.301/2 would be your answer. Checked by y=0.301/2x+6.975 - the two limes line up at x=3 until x=5 exactly.
