Answer:
The Z score of the person is -3.09.
Step-by-step explanation:
The standard normal deviate (Z) for a normal distribution is given by
where,
X = the value of observation
is mean of the observations and
σ = standard deviation of the score
Applying values we get
Answer:
(a) The confidence interval is: 0.0304 ≤ π ≤ 0.0830.
(b) Upper confidence bound = 0.0787
Step-by-step explanation:
(a) The confidence interval for p (proportion) can be calculated as
NOTE: π is the proportion ot the population, but it is unknown. It can be estimated as p.
For a 95% two-sided confidence interval, z=±1.96, so
The confidence interval is: 0.0304 ≤ π ≤ 0.0830.
(b) The confidence interval now has only an upper limit, so z is now 1.64.
The confidence interval is: -∞ ≤ π ≤ 0.0787.
Answer:
<h2>The fourth graph, from left to right, is the correct answer.</h2>Step-by-step explanation:
The given piecewise function is
Notice that the domain of the function specifies that, from zero to three, the function represents a decreasing (because the variable is negative) straight line. When the function is defined from 3 to infinite, the function is a constant of 5.
<em>So, the right graph must shows first a decreasing line, where the initial point is solid and the final point is empty, as the fourth fraph (from left to right), then it must show a horizontal line with an initial point solid.</em>
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Therefore, the fourth graph, from left to right, is the correct answer.