Clarise evaluated this expression. (66.3 – 14.62) ÷ 0.6 – 0.22 (51.68) ÷ 0.6 – 0.22 (51.68) ÷ 0.42 51.68 ÷ 0.16 32.3 Which error
2 answers:
Let's go through this problem step by step while bearing in mind the concept of PEMDAS.
Step 1:
Declaration of the expression. Nothing wrong here yet.
Step 2:
Clarise evaluated what's inside the parenthesis first - which was the right thing to do! There are no mistakes in this step.
Step 3:
In this step she subtracted first. This should not be the case! PEMDAS tells us that the exponents and division gets higher priority than subtraction. This is therefore the first mistake Clarise makes.
Step 4:
In this step Clarise evaluates the exponent. This does not violate any rules (relative to the previous expression) since PEMDAS tells us that exponents take higher priority than division.
Step 5:
(Clarise's final answer)
In Clarise's final step, she manages to get the wrong answer! Dividing 51.68 by 0.16 would give us 323. This is another mistake of Clarise.
Looking at the choices, we can now identify what mistakes Clarise made:
-She subtracted before evaluating the exponents
-She subtracted before she divided
-She divided incorrectly
Step 1:
Declaration of the expression. Nothing wrong here yet.
Step 2:
Clarise evaluated what's inside the parenthesis first - which was the right thing to do! There are no mistakes in this step.
Step 3:
In this step she subtracted first. This should not be the case! PEMDAS tells us that the exponents and division gets higher priority than subtraction. This is therefore the first mistake Clarise makes.
Step 4:
In this step Clarise evaluates the exponent. This does not violate any rules (relative to the previous expression) since PEMDAS tells us that exponents take higher priority than division.
Step 5:
In Clarise's final step, she manages to get the wrong answer! Dividing 51.68 by 0.16 would give us 323. This is another mistake of Clarise.
Looking at the choices, we can now identify what mistakes Clarise made:
-She subtracted before evaluating the exponents
-She subtracted before she divided
-She divided incorrectly
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Answer:
Explained below.
Step-by-step explanation:
The information provided is as follows:
(1)
A single mean test is to be performed in this case.
As the population standard deviation is not provided, a one-sample <em>t</em>-test will be used.
The correct option is b.
(2)
The null hypothesis is:
<em>H</em>₀: The average temperature in the population is 98.6°F, i.e. <em>μ </em>= 98.6°F.
The correct option is b.
(3)
The alternative hypothesis is:
<em>Hₐ</em>: The average temperature in the population is less than 98.6°F, i.e. <em>μ </em>< 98.6°F.
The correct option is c.
(4)
The standard deviation of the sample mean is as follows:
Thus, the value of SD is 0.3°F.
(5)
Compute the value of test statistic as follows:
Thus, the value of test statistic is -1.67.
(6)
The degrees of freedom of the test are:
df = n - 1
= 9 - 1
= 8
Thus, the degrees of freedom of the test is 8.