The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experimental conditions
(“Experimental Measurement of the Stopping Performance of a Tractor-Semitrailer from Multiple Speeds,” NHTSA, DOT HS 811 488, June 2011): 32.1 30.6 31.4 30.4 31.0 31.9 The cited report states that under these conditions, the maximum allowable stopping distance is 30. A normal probability plot validates the assumption that stopping distance is normally distributed. a. Does the data suggest that true average stopping distance exceeds this maximum value? Test the appropriate hypotheses using a 5 .01.
1 answer:
Answer:
There is enough evidence at the 1% level of significance to suggest that the mean stopping distance of the truck is greater than 30
Step-by-step explanation:
We will conduct a hypothesis test for the mean. We will compare the mean stopping distance of the truck to the maximum distance of 30 and see if there is any significant difference.
We first need to find the mean and standard deviation of the stopping distance of the sample. See the first attached photo for the calculations of these values..
We get a sample mean of: 31.2333
and a sample standard deviation of: 0.2813
We will use these to conduct a hypothesis test. See the calculations for the test on the second attached photo
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Answer:
561
Step-by-step explanation:
A<em> "scientific notation"</em> is being used in order to express large numbers in its <u>simplest form</u>. This is commonly used in careers that use Mathematics very often like<em> engineers</em> or<em> scientists </em>because it makes their computation easier.
The<em> "standard form"</em> refers to the standard or traditional way of writing the numbers.
In order to get the standard form above, you have to check the <em>"power of the number 10." </em>The exponent above is 2. This means that you have to move the decimal point of 5.61 to the<em> right twice.</em> So, the answer is 561.
Answer:
The expression represents the number
rewritten in a+bi form.
Step-by-step explanation:
The value of is
in term of
Substituting the value,
Product of two negative numbers is always positive.
Now in term of
Substituting the value,
Product of one negative and one positive numbers is always negative.
Now can be written as follows,
Applying radical multiplication rule,
Now, and
Now substituting the above values in given expression,
Simplifying,
Collecting similar terms,
Combining similar terms,
The above expression is in the form of a+bi which is the required expression.
Hence, option number 4 is correct.