Answer:
The degrees of freedom are given by:
The p value for this case would be given by:
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes
Step-by-step explanation:
Information given
represent the sample size
represent the confidence level
represent the sample variance
represent the value that we want to verify
System of hypothesis
We want to test if the true deviation for this case is lesss than 5minutes, so the system of hypothesis would be:
Null Hypothesis:
Alternative hypothesis:
The statistic is given by:
And replacing we got:
The degrees of freedom are given by:
The p value for this case would be given by:
Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes
Answer:
1.the square pan is larger by 12 inches
40 cm^2
Step-by-step explanation:
The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle
perimeter of a square = 4 x length
14 x 4 = 56 inches
Circumference of a circle = πD = (22/7) x 14 = 44 inches
Difference in size = 56 - 44 = 12 inches
Area of a rectangle = length x width
10 x 4 - 40 cm^2
Answer:
<em>a) g(-2) = 0</em>
<em>b) g(-1) =1</em>
<em>c) g(4) = 2</em>
Step-by-step explanation:
Given data
<u><em>Step( i )</em></u>:-
put x = -2
<em>g(-2) = 0</em>
<u><em>Step(ii)</em></u>:-
Put x = -1
<em>g(-1) =1</em>
<u><em>Step(iii)</em></u>:-
<em>g(4) = 2</em>
<em></em>
Answer:
a. 0.047
b. Unlikely.
Step-by-step explanation:
a. The probability of a test result being wrong for a person not using mrijuana = 8 / 170 = 0.047.
b. As the probability for a wrong result is < 0.05 we can say that the test is unlikely to be wrong.
Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800
<h3>How to calculate simple interest amount if rate of interest is R% annually?</h3>
Suppose that the initial amount of investment is P
And the rate of simple interest is R% annually,
And the time of investment is T years.
Then, the amount of simple interest is calculated as:
For the given case, let the initial investment Hannah made was of $P
Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536
Putting values in the above formula, we get;
Thus,
The investment by Hannah was : Option A: $4800
Learn more about simple interest here:
brainly.com/question/5319581