Topic
Q:
1.3.1 Bereken die gemiddelde aantal huishoudings in Suid-Afrika wat
gedurende 2022 nie toegang tot die internet gehad het nie.
Q:
A set of exam scores is normally distributed with a mean \( =74 \) and standard deviation \( =8 \).
\( 95 \% \) of the data values lie between 58
\( \% \) of the exam scores are between 66 and 74 .
\( \% \) of the exam scores are between 74 and 90 .
\( \% \) of the exam scores are between 82 and 90 .
\% oxam scores are greater than or equal to 66 .
Q:
A variable is normally distributed with mean 18 and standard deviation 9 . Use your graphing calculator to
find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as
needed.
a) Find the area to the left of 17.
Q:
The weights for newborn babies is approximately normally distributed with a mean of 6 pounds and
standard deviation of 1.5 pounds.
Consider a group of 1100 newborn babies:
1. How many would you expect to weigh between 3 and 8 pounds?
2. How many would you expect to weigh less than 7 pounds?
3. How many would you expect to weigh more than 6 pounds?
4. How many would you expect to weigh between 6 and 9 pounds?
Q:
A variable \( x \) is normally distributed with mean 21 and standard deviation 5.
a) Determine the \( z \)-score for \( x=27 \).
b) Determine the \( z \)-score for \( x=15 \).
c) What value of \( x \) has a \( z \)-score of 1.8 ?
\( x=x= \)
d) What value of \( x \) has a \( z \)-score of -0.6 ?
e) What value of \( x \) has a \( z \)-score of 0 ?
\( x= \)
Q:
The annual rainfall in a certain region is approximately normally distributed with mean 41.3 inches and
standard deviation 5.6 inches. Round answers to the nearest tenth of a percent.
W) What percentage of years will have an annual rainfall of less than 43 inches? 62.6
What percentage of years will have an annual rainfall of more than 38 inches?
w) What percentage of years will have an annual rainfall of between 37 inches and 42 inches?
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Q:
Which of the following statements are TRUE about the normal distribution? Check all that apply.
The area to the left of a z-score plus the area to the right of that same z-score will always equal 1 .
A data value with z-score \( =-1.5 \) is located 1.5 standard deviations below the mean.
The Empirical Rule only applies when a value is exactly 1,2 , or 3 standard deviations away from the
mean.
A z-score is the number of standard deviations a specific data value is from the mean of the
distribution.
Q:
i1. suggerie a fair price for this brand.
Create a \( 95 \% \) confidence interval for prive of chocolate whate percentage
Q:
Find the median of these numbers.
Q:
3. Box and Whisker Plot: Draw a box and whisker plot for the data provided and
identify any outliers.
\( 12,17,13,14,12,16,18,29,15,14,12,17,13,14,12,16,18,29,15,14,12,17,13 \),
\[ 14,12,16,18,29,15,14 \]
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