Simplify this algebraic expression,
2 answers:
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Answer:
The critical value of <em>t</em> at 0.01 level of significance is 2.66.
Step-by-step explanation:
The hypothesis for the two-tailed population mean can be defined as:
<em>H₀</em>: <em>μ </em>= <em>μ₀</em> vs. <em>H₀</em>: <em>μ </em>≠ <em>μ₀</em>
It is provided that the population standard deviation is not known.
Since there is no information about the population standard deviation, we will use a <em>t</em>-test for single mean.
The test statistic is defined as follows:
The information given is:
<em>n</em> = 55
<em>α</em> =<em> </em>0.01
Compute the critical value of <em>t</em> as follows:
*Use a <em>t</em>-table for the value.
If the desired degrees of freedom are not provided consider he next highest degree of freedom.
Thus, the critical value of <em>t</em> at 0.01 level of significance is 2.66.
Answer:
B. d = 5/3t
Step-by-step explanation:
The complete question is shown in the figure attached with.
We need to find the equation of direct variation using the graph. The general equation for a direction variation is:
y = kx
In this case, the variable along x axis is time in seconds i.e. "t" and the variable along y axis is distance in meters i.e. "d". So, the equation for this case would be:
d = kt
We need to find the value of "k" to complete this equation. For this we can use any point from the graph and substitute it in the above equation. From the graph we can see that the distance covered for time = 3 seconds is 5 meters. Substituting t =3 and d = 5 in above equation, we get:
5 = 3k
k = 5/3
Using the value of k in the above equation, we get:
Therefore, option B gives the correct answer
