Answer:
The required benefits and limitations are shown below:
Step-by-step explanation:
Consider the provided statement.
We need to determine the benefits and limitation of solving equations graphically.
Benefits:
1) By solving an equation graphically we can visually determine the solution of the equation.
2) The graphs provide clues that words and equations don't.
3) It helps to interpret data and to draw conclusions about mathematical relationships.
Limitations:
1) The intersecting point is the solution for an equation, and the solution may not be accurate as some equation may have decimal solutions.
2) Some times student interpret graphs inaccurately.
3) Also some equations can be difficult to graph because of their slopes.
Complete question :
According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Suppose data for the sale of 39 randomly selected homes sold in Greene County, Ohio, in 2017 showed a sample mean of 3.6 weeks with a sample standard deviation of 2 weeks. Conduct a hypothesis test to determine whether the number of weeks until a house sold in Greene County differed from the national average in 2017. Useα = 0.05for the level of significance, and state your conclusion
Answer:
H0 : μ = 3
H1 : μ ≠ 3
Test statistic = 1.897
Pvalue = 0.0653
fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.
Step-by-step explanation:
Given :
Sample size, n = 40
Sample mean, x = 3.6
Population mean, μ = 3
Standard deviation, s = 2
The hypothesis :
H0 : μ = 3
H1 : μ ≠ 3
The test statistic :
(xbar - μ) ÷ (s/√n)
(3.6 - 3) / (2/√40)
0.6 / 0.3162277
Test statistic = 1.897
Using T test, we can obtain the Pvalue from the Test statistic value obtained :
df = n - 1; 40 - 1 = 39
Pvalue(1.897, 39) = 0.0653
Decison region :
If Pvalue ≤ α ; Reject the null, if otherwise fail to reject the Null.
α = 0.05
Pvalue > α ; We fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.
Answer:
9/1 *7/10 = 63/10 =6 3/10
Step-by-step explanation:
Answer:
4 1/2 hours
Step-by-step explanation:
1 practice = 2 1/4 hours
2 practices = 4 1/2 hours