All categories

3 years ago

A sample of 64 is taken from a population, with the mean of the sample being

Mathematics

1 answer:

Sever21 [200]3 years ago

8 0

Answer:

65.04<x<68.96

Step-by-step explanation:

The confidence interval formula is expressed as;

CI = x ± z*s/√n

x is the mean = 67

z is the 95% z score = 1.96

s is the standard deviation = 8

n is the sample size = 64

Substitute;

CI = 67 ± 1.96*8/√64

CI = 67 ± 1.96*8/8

CI = 67 ± 1.96

CI = (67-1.96, 67+1.96)

CI = (65.04, 68.96)

Hence the confidence interval for the mean of the population is between 65.04<x<68.96

You might be interested in

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing

tester [92]

The length of pendulum is 2.485 feet

<h3><u><em>Solution:</em></u></h3>

Given that,

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth

<u><em>Therefore, the given formula is:</em></u>

$T=2\pi \sqrt{\frac{L}{32} }$

We have to find the length of pendulum that makes one full swing in 1.75 seconds

So the modify the given equation to find "L"

$T=2\pi \sqrt{\frac{L}{32} }\\\\ \sqrt{\frac{L}{32} }=\frac{T}{2 \pi}\\\\\text{Taking square root on both sides }\\\\\frac{L}{32} = \frac{T^2}{4 \pi^2}\\\\L = \frac{T^2}{4 \pi^2} \times 32\\\\L = \frac{T^2}{\pi^2 } \times 8$

Substitute T = 1.75 seconds and $\pi = 3.14$

$L = \frac{1.75^2}{3.14 \times 3.14} \times 8\\\\L = \frac{3.0625}{9.8596} \times 8\\\\L = 2.485$

Thus length of pendulum is 2.485 feet approximately

7 0

3 years ago

Order from least to greatest 12% of 60 55% of 220 400% of 18

frez [133]

Answer:

12% of 60, 400% of 18, 55% of 220

Step-by-step explanation:

12% of 60 =7.2

55% of 220 = 121

400% of 18 = 72

7.2, 72, 121

8 0

3 years ago

joe spends $8 on lunch and $6.50 on dry cleaning. He also buys 2 shiets that cost the same amount. joe spendes a total of $52. w

ANEK [815]

X=amout the shirts cost
52=8+6.50+2x
add 8 and 6.5
52=14.5+2x
subtract 14.5 from 52
37.5=2x
divide 37.5 by 2
x=18.75
It cost $18.75 for each shirt.

4 0

3 years ago

Find the surface area of the figure

IgorLugansk [536]

Answer:

Area of a Square it base x height so 4x4=16+16 = 32 in^2

Step-by-step explanation:

3 0

3 years ago

3. An acute triangle with angles measuring 60 degrees,62°, and 58 degrees,

telo118 [61]

Answer:

Possible

Step-by-step explanation:

6 0

3 years ago