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icang [17]
4 years ago
12

The same sample of 25 seniors from the urban school district with the mean and standard deviation N(450, 100). A 95% confidence

interval for µ for the population of seniors with a margin of error of ± 25 is used. What is the smallest sample size we can take to achieve this same margin of error?
Mathematics
1 answer:
kvv77 [185]4 years ago
3 0
The margin of error of a sample is given by:
B = z(α/2) σ/√n; where B is the margin of error = 25, z(α/2) is the level of significant = 1.96, σ is the standard deviation = 100 and n is the sample size.

25 = 1.96(100/√n)
100/√n = 25/1.96 = 12.76
√n = 100/12.76 = 7.84
n = (7.84)^2 = 61.47

Therefore, the smallest sample size required is 62 seniors.
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Given: b = -2

h = 4

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3 years ago
35 POINTS PLUS BRAINLIEST
vekshin1

Answer:

a. The IQR = 75th percentile – 25th percentile or Q3 – Q1

b. Median for data set 1 – median for data set 2

c. Data is either positively skewed, negatively skewed or normally/ equally distributed. Median is usually better since its accuracy is not affected by outliers like the mean.  

d. Unusual/ inconsistent sampling

Step-by-step explanation:

Since there is no data set (s) given, there cannot be actual calculations done to answer the questions. Only the explanations and formulas can be given.  

a. The interquartile range (IQR) is given as the difference between the 75th percentile (Q3) and the 25th percentile (Q1). For example, Q3 is 50 and Q1 is 20, the IQR is 50 – 20 = 30.  

b. Since there is no data set given, one cannot determine the median of each data set. The median is the middlemost value. The difference would be given by subtracting the median of one data set from the median of the other. For example, if the median for data set 1 is 15 and the median for data set is 13, the difference would be 15 – 13 and the answer is 2.  

c. The median is best if the data has a positive (tail is on the right) or negative skew (tail is on the left). The mean is a better measure when the data is normally distributed or symmetrical (bell shaped) and there are no outliers. Outliers can overstate the or understate the mean.  

d. There can be many reasons why there are outliers in a data set. Some of these are recording errors when the data was taken, unusual/ inconsistent sampling when the sample was taken, measurement errors and experimental errors in the data set.  

5 0
3 years ago
The median of a set of consecutive odd integers is 138. If the greatest integer in the set is 145, what is the least integer in
garri49 [273]

Answer:

131

Step-by-step explanation:

Given that:

Median of a consecutive odd integers = 138

Greatest integer In dataset = 145

Least integer in dataset =

Since the integers are consecutive ;

Number of integers to greatest integer value : Greatest integer - median value = 145 - 138 = 7

Hence, 7 integers before the median value should give us the least integer value ;

138 - 7 = 131

CHECK:

131,132,133,134,135,136,137,138,139,140,141,142,143,144,145

Median = (n+1)/2 th term

Median = (15+1)/2 = 8th term = 138

Highest = 145

Least = 131

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Answer:a and d

Step-by-step explanation:

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