Is 2^7 equal to 2 • 7? Explain.

According to a research center, 16% of all merchandise sold in a particular country gets returned. A department store in a certa

Mamont248 [21]

Answer:

a) point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

Point estimate = 0.3

b) The 95% confidence interval for the proportion of returns at the store in the given city

( 0.19958,0.40042)

Step-by-step explanation:

Given the Population proportion 'P'= 16% = 0.16

Given data a department store in a certain city sampled 80 items sold in January and found that 24 of the items were returned

The sample proportion $p = \frac{x}{n}$

here x =24 and n = 80

The sample proportion $p = \frac{x}{n} = \frac{24}{80} = 0.3$

a) Point estimate:-

A point estimate of the true proportion P

Point estimate = $p = \frac{x}{n}$

point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

$p = \frac{x}{n} = \frac{24}{80} = 0.3$

b) The 95% confidence interval for the proportion

The 95% confidence interval for the proportion of returns at the store in the given city

$(p - z_{\alpha } \sqrt{\frac{p(1-p)}{n} } , p + z_{\alpha }\sqrt{\frac{p(1-p)}{n} } )$

substitute all values we get ,

$(0.3 - 1.96 \sqrt{\frac{0.3(1-0.3)}{80} } , 0.3 + 1.96\sqrt{\frac{0.3(1-0.3)}{80} } )$

on simplification, we get

(0.3-0.10042 ,0.3+0.10042)

( 0.19958,0.40042)

Conclusion:-

a) point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

Point estimate = 0.3

b) The 95% confidence interval for the proportion of returns at the store in the given city

( 0.19958,0.40042)

5 0

4 years ago

question: The chart below shows the number of tickets to the annual teachers vs. students basketball game. How many students sol

melomori [17]

Answer:

c 25

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Which number sentence below matches this word problem? Jay had to paint part of the outside of his house. He spent 7 hours paint

sergeinik [125]

Answer:

B! 7+11= 18

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is 1/4 divided by 1/2, and create and solve a real-world word problem that uses the above division expression.

Gnoma [55]

Answer:

1/4 divided by 1/2 equals 1/2

Real-world problem:

A constructor official knows that he needs 1/2 sack of cement to produce 10 blocks of concrete for a wall. The official only has 1/4 of the sack left and want to know how many blocks he can produce with this material.

Step-by-step explanation:

Since you know that 1/2 of the sack is needed to make 10 blocks, you can use this information to find the number of blocks that 1/4 of a sack can make. The question you want to answer is:

if $\frac{1}{2}$ of a sack produces 10 blocks, how may blocks $\frac{1}{4}$ of a sack can produce?

Using the Rule of Three you can solve

$\frac{\frac{1}{4} }{\frac{1}{2}} =\frac{2}{4}=\frac{1}{2}$

Now you know that 1/4 of a sack can produce 1/2 the number of blocks that 1/2 of the sack can produces, this means that you can produce 5 blocks of concrete.

8 0

3 years ago

Simplify. √20⋅√3·√18 5√30 5√10 6√10 6√30

ddd [48]

The correct answer is: [D]: " 6√30 " .

_____________________________________

Explanation:

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Simplify: " √20 ⋅ √3 · √18 " :

___________________________

Step 1) Simplify the "first term" :

"√20 " = √4 √5 = 2√5 ;

___________________________

Step 2): Consider the "second term:

"√3 " = √3 (already simplified);

___________________________

Step 3) Simplifly the "third term" :

" √18 " = √9 * √2 = " 3√2 " ;

____________________________

We have: " 2√5 * √3 * 3√2 " ;

= (2* 3) * (√5 * √3 * √2) ;

= 6 * (√5 √3 √2) ;

Note: " (√5 * √3 * √2 )" = " √(5 * 3 * 2) " = " √ 30 " .

So: " 6 * (√5 * √3 * √2) =

______________________________________

→ " 6 √30 " .

______________________________________

The answer is: " 6√30 " ;

→ which is: "Answer choice: [D]: " 6√30 " .

_____________________________________

Hope this answer helps!

Best wishes!

_____________________________________

5 0

3 years ago

Read 2 more answers