Ask question

Ask question

All categories

Alex_Xolod [135]

3 years ago

15

You measure 47 backpacks' weights, and find they have a mean weight of 79 ounces. Assume the population standard deviation is 13

.1 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean backpack weight.
Give your answer as a decimal, to two places

1 answer:

ki77a [65]3 years ago

8 0

Answer:

3.14

Step-by-step explanation:

Given that:

Mean weight (m) = 79 ounces

Population standard deviation (s) = 13.1

Sample size = 47

Maximal margin of error associated with 90% confidence interval.

The margin of error is given by:

Zcritical * (standard deviation / sqrt(sample size)

Z critical at 90% confidence interval = 1.645

Hence,

Zcritical * (standard deviation / sqrt(sample size)

1.645 * 13.1 / sqrt(47)

1.645 * (13.1 / 6.8556546)

1.645 * 1.9108313

Hence, the margin of error is :

3.1433174885

= 3.14

You might be interested in

A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. Th

Olegator [25]

Answer:

(a) 74553

(b) 172120

(c) 234802

Step-by-step explanation:

Given

$y = \frac{340110}{1 + 377e^{-0.259t}}$

Solving (a): 1998

Year 1998 means that:

$t =1998 - 1980$

$t =18$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*18}}$

$y = \frac{340110}{1 + 377e^{-4.662}}$

$y = \frac{340110}{1 + 3.562}$

$y = \frac{340110}{4.562}$

$y = 74553$ --- approximated

Solving (b): 2003

Year 2003 means that:

$t = 2003 - 1980$

$t =23$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*23}}$

$y = \frac{340110}{1 + 377e^{-5.957}}$

$y = \frac{340110}{1 + 0.976}$

$y = \frac{340110}{1.976}$

$y = 172120$ --- approximated

Solving (c): 2006

Year 2006 means that:

$t = 2006 - 1980$

$t =26$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*26}}$

$y = \frac{340110}{1 + 377e^{-6.734}}$

$y = \frac{340110}{1 + 0.4485}$

$y = \frac{340110}{1.4485}$

$y = 234802$ --- approximated

3 0

2 years ago

5x + 7 - 2(-8x -1) = 7(x - 1)

love history [14]

Step-by-step explanation:

$5x + 7 - 2( - 8x - 1) = 7(x - 1) \\ 5x + 7 + 16x + 2 = 7x - 7 \\ collecting \: like \: \: terms \: \\ 5x + 16x - 7x = - 7 - 2 - 7 \\ 14x = - 16 \\ divide \: both \: side \: by \: 14 \\ \frac{14x}{14} = \frac{ - 16}{14} \\ x = - \frac{ 8}{7}$

8 0

3 years ago

G/3 + 11 = 25 please help

pochemuha

Answer: g = 42

Step-by-step explanation:

g/3 + 11 = 25

First, subtract 11 to both sides

g/3 = 14

Then, multiply 3 to both sides to get rid of the fraction

g=42

8 0

3 years ago

vladimir2022 [97]

Answer: 38 cm

Step-by-step explanation:

8 0

3 years ago

If y=8 when x=4 find y when x=5

djyliett [7]

Answer:

y = 10 when x = 5

Step-by-step explanation:

When x = 4, y = 8

Simplify. Divide 4 from both x and y

x = 4/4 = 1

y = 8/4 = 2

when x = 1, y = 2

Next, solve for when x = 5. Mutliply 5 to both x and y

x = 1 * 5 = 5

y = 2 * 5 = 10

y = 10 when x = 5

~

7 0

3 years ago

Read 2 more answers