Answer:
A line of best fit is often useful to attempt to represent data with the equation of a straight line in order to predict values that may not be displayed on the plot. ... The line of best fit is determined by the correlation between the two variables on a scatter plot.
Answer:
the 99% confidence interval for the true mean number of mosquitos caught in all mosquito traps is ( 667.81, 732.19 )
Step-by-step explanation:
Given the data in the question;
sample mean x' = 700
sample size n = 64
the standard deviation σ = 100
99% confidence interval for the true mean number of mosquitos caught in all mosquito traps = ?
significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01 / 2 = 0.005
Z-critical = 2.575 { from table }
So, to get the 99% confidence interval;
⇒ x' ± ( σ / √n )
we substitute
⇒ 700 ± 2.575 ( 100 / √64)
⇒ 700 ± 2.575( 12.5 )
⇒ 700 ± 32.1875
⇒ ( 700 - 32.1875 ), ( 700 + 32.1875 )
⇒ ( 667.81, 732.19 )
Therefore, the 99% confidence interval for the true mean number of mosquitos caught in all mosquito traps is ( 667.81, 732.19 )
Answer: The level of Significance is 0.01
Step-by-step explanation: As mentioned in the question that α = 0.01 which implies the significance level. This relates with 99% confidence level.
The significance level tells you the probability of rejecting a null hypothesis by the test when it is really true.
So, in this question the hypothesis would be:
H o : u ≤ 1.75
H α : u > 1.75
If we run the test we could conclude whether or not to reject the null hypothesis. Hence, we use the following formula (since population standard deviation is unknown) :
t n − 1 = × − u /s /√n
t 41 - 1 = 2.09 - 1.75 / 0.88 / √41
t 40 = 2.473
the value of t statistics = 2.473
t40 > 2.473
Hence, we reject the null hypothesis.
Answer:
x = 5
Step-by-step explanation:
We have: The sum of the measures of angle M and angle R is 90°
M + R = 90°
M = (5x + 10)°
Plug M into (1)
the equation: (5x + 10)° + R = 90° (2)
R=55° into (2)
(5x + 10)° + 55° = 90°
5x + 10 + 55 = 90
5x + 65 = 90
5x = 25
x = 5