A set of data is summarized by the stem and leaf plot below.

Mathematics

1 answer:

kompoz [17]3 years ago

7 0

Answer:

0 ; 1

Step-by-step explanation:

Given the dataset :

Stem _____ Leaf

1 _______ 0 0 2 2 4 5 5 5 6 7 8 8 9 9 9 9

2 _______0 0 0 3 3 4 5 8 8

3 _______0 0 1 1 3 4 5 5 5 6 6 6 6 7 7 8 8 8 9 9

4 _______ 1 2 2 3 3 3 5 5 6 6 7 8 8 9 9

The value 52 appears 0 times in the dataset

This is because the stem does not contain the digit 5.

The value 47 appears 1 time(s) in the data set ; stem of 4, leaf 7

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4 years ago

Suppose the number of residents within five miles of each of your stores is asymmetrically distributed with a mean of 25 thousan

ohaa [14]

Answer:

$P(\bar X\:>27.8\:thousand)=3.07\%$

Step-by-step explanation:

Since the number of residents within five miles of each of your stores is asymmetrically distributed, the distribution of the sample means will be approximately normal with a mean of 25 thousand.

The standard deviation of the sample means is:

$\sigma_X=\frac{\sigma}{\sqrt{n} }$

$\implies \sigma_X=\frac{10.6}{\sqrt{50} }=1.4991$

The z value is $z=\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n}} }$

We plug in the values to get:

$z=\frac{27.8-25}{1.4991}=\frac{2.8}{1.4991}=1.87$

The area to the right of 1.87 is $1-0.96926=0.03074$ .

The probability that the average number of residents within five miles of each store in a sample of 50 stores will be more than 27.8 thousand is 3.07%

See attachment.