The option that describes the relationship between the two confidence intervals is; The width of I₈₁ will be¹/₉ the width of I₉
<h3>How to calculate width of the confidence interval with normal distribution?</h3>
The width of the confidence interval will be calculated from the formula;
W = 2Z(σ/√n)
where;
z is the z-score at given confidence level
σ is standard deviation
n is sample size
For first sample;
W_i9 = 2Z(σ/√9)
W_i9 = ²/₃Zσ
For second Sample;
W_i81 = 2Z(σ/√81)
W_i81 = ²/₉Zσ
Thus, we will have;
W_i9/W_i81 = (²/₃Zσ)/(²/₉Zσ)
W_i9/W_i81 = 9
W_i81 = ¹/₉W_i9
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The 45th percentile of the data given above (P₄₅) is 16.225.
<h3>What is percentile in statistics?</h3>
Percentile refers to the mathematical or statistical term that is used to indicate the position of a data in relation to others from the sample given.
<h3>How did we arrive at the above figure?</h3>
Step 1 - First all data must be arranged in ascending order:
See the attached table for this.
Step 2 - We compute the position or rank of the 45th percentile.
The formula for percentile position is given as:
((n +1 ) *P)/100
= ((25+1) * 45)/100
= 11.70
Step 3 - Deploy the interpolation method because the position above is not an integer.
The numbers in positions 11 and 12 are where you'll find the 45 percent percentile. Based on the data arranged in ascending order, the values are 15 and 16.75.
The percentile we're seeking for is situated at the value of 11.7 - 11 = 0.7, which is the percentage of the space between 15 and 16.75.
Therefore,
(P₄₅) = 15 + 0.7 x (16.75 - 15)
(P₄₅) =16.225.
Learn more about percentiles at:
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Answer:
A) By refusing to buy South African Goods
Explanation:
Some of the main ways the peripheral route persuasion is used is through positive emotions and celebrity endorsements.
<h3>What is peripheral route persuasion?</h3>
This refers to the type of persuasion that is used indirectly with the use of peripheral clues to associate positivity with a message.
Hence, we can see that your question is incomplete as you did not include the answer choices, so a general overview is given.
Read more about peripheral route persuasion here:
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I dont believe that there is a forest in arizona..
