A rowing team rowed 90 miles while going with the current in the same amount of time as it took to row 10 miles going against th
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Answer:
(a) <em>H₀</em>: <em>μ</em> = 10 vs. <em>Hₐ</em>: <em>μ</em> < 10.
(b) The level of significance is 0.05.
Step-by-step explanation:
A new system is used to reduce the time customers spend waiting for teller service during peak hours at a bank.
A single mean test can be used to determine whether the waiting time has reduced.
(a)
The hypothesis to test whether the new system is effective or not is:
<em>H₀</em>: The mean waiting time is 10 minutes, i.e. <em>μ</em> = 10.
<em>Hₐ</em>: The mean waiting time is less than 10 minutes, i.e. <em>μ</em> < 10.
(b)
The information provided is:
Compute the test statistic value as follows:
The test statistic value is <em>t</em> = -1.902.
Compute the <em>p</em>-value of the test as follows:
The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level (<em>α</em>).
The <em>p</em>-value obtained is 0.031.
To reject the null hypothesis the value of <em>α</em> should be more than 0.031.
The most commonly used values of <em>α</em> are: 0.01, 0.05 and 0.10.
So, the least value of <em>α</em> at which we can conclude that the wait times have decreased is, <em>α</em> = 0.05.
Thus, the level of significance is 0.05.
check the picture below.
now, we're assuming the trapezoid is an isosceles trapezoid, namely AD = BC, and therefore the triangles are twins.
incidentally, b is the height of the trapezoid and likewise is also the altitude or height of the concrete triangle.
so we can simply get the area o the trapezoid, notice the bottom base is a+185+a, and then get the area of the concrete triangle and subtract the triangle from the trapezoid, what's leftover is just the vegetation area.
so that's the area of the trapezoid, now let's get the area of the triangle.
since we know 36 yd² cost 12 bucks, then how much will it be for 39475.018 yd²?
