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The margin of error of the random selection is 0.20
The given parameters are:
--- the sample size
--- the standard deviation
--- the mean
--- the confidence level.
The margin of error (E) is calculated as follows:
So, we have:
The z-value for 99% confidence level is 2.576.
Substitute 2.576 for z
Take square roots
Multiply
Approximate
Hence, the margin of error is 0.20
Read more about margin of error at:
The value of Z would be 225°
<h3>What is the angle at a point?</h3>The angle at a point are angles that add up to 360°
Thus, X + Y + Z = 360°
X = 20°
Y = 135°
Then, Z = 360° - X - Y
Z = 360° - 20° + 135°
Z = 360° - 155°
Z = 205°
Therefore, the value of Z is 205°
Learn more about angle at a point here:
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Answer:
The probability that Leon strikes is greater than Carlton strike is 0.40905
Step-by-step explanation:
From the question, we have;
The percentage of Carlton's rolls are strikes, = 70%
The number of games Carlton played, n₁ = 25
The percentage of Leon's rolls that are strikes, = 67%
The number of games Leon played, n₂ = 25
Therefore, we have;
Where;
k₁ = 0.7 × 25 = 17.5
k₂ = 0.67 × 25 = 16.75
The test statistic is given as follows;
From the z-table, we have;
The p-value for Carlton strikes is greater than Leon's strike = 0.59095
∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905
The probability that Leon strikes is greater than Carlton strike = 0.40905