What is the totale of the recta square meter
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Complete Question
From a random sample of size 18, a researcher states that (11.1, 15.7) inches is a 90% confidence interval for mu, the mean length of bass caught in a small lake. A normal distribution was assumed. Using the 90% confidence interval obtain:
a. A point estimate of and its 90% margin of error.
b. A 95% confidence interval for .
Answer:
a
.
b
Step-by-step explanation:
From the question we are told that
The sample size is n = 18
The 90% confidence interval is (11.1, 15.7)
Generally the point estimate of is mathematically evaluated as
=>
Generally the margin of error is mathematically evaluated as
=>
From the question we are told the confidence level is 90% , hence the level of significance is
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Generally from the normal distribution table the critical value of is
Generally the equation for the lower limit of the confidence interval is
=>
=>
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 95% confidence interval is mathematically represented as
=>
=>
Question is Incomplete; Complete question is given below;
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.
a. The independent variable, the input, is the variable d, representing distance.
b. The distance traveled depends on the amount of time Marlene rides her bike.
c. The initial value of the scenario is 16 miles per hour.
d. The equation t = d + 16 represents the scenario.
e. The function f(t) = 16t represents the scenario.
Answer:
OPTION (b) and (e) are the true statements.
Step-by-step explanation:
Given:
time in hours that she rides
distance she rides
We have to find the statements that are true of the scenario.
Solution:
The equation itself is a linear equation which presents an equation's scenario and time (t) is a independent variable and distance (d) is a dependent variable.
Equation for distance according to function is
Here, we can use graph tool, you can see the attested image below.
Function's domain is the interval⇒ [0,∞)
Function's range is the interval⇒ [0,∞)
The statements which are TRUE are explained below :
b) The distance traveled depends on the amount of time Marlene rides her bike
It is true because as explained above that equation for distance according to function is
e) The function f(t) = 16t represents the scenario.
It is true because as explained that the scenario has been represented by the function above that
* The statement (a) is false because the variable t is the independent variable.
* The statement (c) is false because is been represented as the slope or the rate of the linear equation.
* The statement (d) is false because donot represents the scenario.
