A. In the Example, what is 3/4 / 1/3 the unit rate for?

An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y

aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the 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 time = 23.92 minutes

s = sample standard deviation = 6.72 minutes

n = sample of times = 40

$\mu$ = population mean assembly time

Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.

So, a 98% confidence interval for the population mean, $\mu$ is;

P(-2.426 < $t_3_9$ < 2.426) = 0.98 {As the critical value of z at 1% level

of significance are -2.426 & 2.426}

P(-2.426 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.426) = 0.98

P( $-2.426 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

P( $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X-2.426 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.426 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $23.92-2.426 \times {\frac{6.72}{\sqrt{40} } }$ , $23.92+2.426 \times {\frac{6.72}{\sqrt{40} } }$ ]

= [21.34, 26.49]

Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

7 0

2 years ago

How long dose it take to get ban on here?

aksik [14]

Pretty long why? don't get yourself banned on purpose or break the code of conduct please young ppl are on here

6 0

2 years ago

Read 2 more answers

An arboretum has a daffodil garden containing 17 different types of daffodils in an area of 345 square feet. The horticulture di

Kryger [21]

Answer:

Step-by-step explanation:

There are 1,400 daffodils in the flower garden covering an area of 345 square feet. So, the area covered by 1 daffodil, the unit rate, is found as shown below.

Now, use the unit rate to determine the area required to have 250 more daffodils as shown below.

Therefore, the area required to add 250 daffodils is approximately 61.6 square feet.

7 0

2 years ago

How do u do 8,10,12,14,16 ?plz help!!!

aev [14]

Answer:

twhshhehshwjsjejejeneb

5 0

2 years ago

A drinking container is shaped like a cone and must hold at least 10 ounces of fluid. The radius of the top of the container is

Aleks04 [339]

9514 1404 393

Answer:

C. h ≥ 1.9 in

Step-by-step explanation:

As the final step, divide both sides of the inequality by 5.3:

(5.3h)/5.3 ≥ 10/5.3

h ≥ 1.9

6 0

2 years ago