Select the correct answer.

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

3 years ago

A car rental company charges a daily rate of $ 24 plus $ 0.10 per mile for a certain car. Suppose that you rent that car for a d

Mariulka [41]

Answer: 130 miles

Explanation: make an equation. 24 + 0.10m = 37.00. subtract 24 from both sides leaving m for miles on one side. 0.10m = 13.00. now divide both sides by 0.10 leaving m by itself and making the equation m = 130.

6 0

3 years ago

when tom simplified the expression -2.6 + (-5.4), he got 2.8 what mistake did tom likely make? pls help me

olga_2 [115]

Answer:

2.6 and 5.4 are both the same sign, he should add them and then take that negative sign from (-5.4), so the answer would be -8.0.

5 0

3 years ago

Find the LCM of 15 and 5

inysia [295]

Answer:

The LCM of 15 and 5 is, 15.

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

1. The image below represents the dimensions of

andreyandreev [35.5K]

Answer:

V plus 5 is four

Step-by-step explanation:

dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load. dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load. dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load. dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load. dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load. dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load. dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load. dimensions of

Mike's Bike ramp in feet. How far does Mike have to

ride to reach the end of his ramp? Give the exact

distance.

V

5

10

SIMPLIFY THE RADICAL.

Hold on, our servers are swamped. Wait for your answer to fully load.

8 0

3 years ago