I GIVEEEE BRAINLILSTT

A survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 sen

tatyana61 [14]

Answer:

96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

Step-by-step explanation:

We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the average desired retirement age, with a standard deviation of 3.4 years.

Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average desired retirement age = 55 years

$\sigma$ = sample standard deviation = 3.4 years

n = sample of seniors = 101

$\mu$ = true mean retirement age of all college students

Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.

So, 96% confidence interval for the population mean, $\mu$ is ;

P(-2.114 < $t_1_0_0$ < 2.114) = 0.96 {As the critical value of t at 100 degree

of freedom are -2.114 & 2.114 with P = 2%}

P(-2.114 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.114) = 0.96

P( $-2.114 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.114 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

P( $\bar X-2.114 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.114 \times {\frac{s}{\sqrt{n} } }$ ) = 0.96

96% confidence interval for $\mu$ = [ $\bar X-2.114 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.114 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $55-2.114 \times {\frac{3.4}{\sqrt{101} } }$ , $55+2.114 \times {\frac{3.4}{\sqrt{101} } }$ ]

= [54.30 , 55.70]

Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

7 0

2 years ago

WILL GIVE BRAINLEIST NEED TO TURN IN BY 9 P.M. PLS HURRY SUPER EASY

yuradex [85]

Answer:

y=2,1

Step-by-step explanation:

If X has to be more than 2 but less than 6 it must be 3,4,5

Because the equation is + that eliminates the answer 5

So the equation can be

3+2=5 or 4+1=5

I hope this helps!

6 0

3 years ago

A skirt that usually sells for $40 is on sale for $30. What is the discount percent?

Alborosie

10/40 * 100= 25%

25% is the answer.

6 0

2 years ago

You have to solve the problems starting at the "begin" and make your way up to the "end". The correct answer is one of the probl

Thepotemich [5.8K]

Begin
3x-4=14
3x=18
x=6

.5n=1.25
n=2.5

x+1=2x-2
x+3=2x
3=x

x+3=10
x=7

6x-13=-11
6x=2
x=1/3

p=4-p
2p=4
p=2

End

6 0

2 years ago

Read 2 more answers

Richard and Georgia both wrote essays.

LenaWriter [7]

Answer: a) Georgia, b) 120 words

Step-by-step explanation:

We can calculate how many words they each wrote by multiplying their time and the rate at which they write words.

Richard: 45*16 = 720 words total

Georgia: 70*12 = 840 words total.

Therefore, Georgia wrote 120 more words.

3 0

2 years ago

Read 2 more answers