If wheel A rotates with constant angular velocity

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t

andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: $H_{0} = 3$

Alternate: $H_{a} = 3$

The test-statistic is given by:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that $n = 100$

3 tested at the null hypothesis

This means that $\mu = 3$

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that $X = 3.1$

The population standard deviation is known at 0.5 minutes.

This means that $\sigma = 0.5$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

7 0

3 years ago

On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, ne

Oksanka [162]

Answer:

The perimeter is $(8\sqrt{2}+2\sqrt{10})\ units$

Step-by-step explanation:

we know that

A parallelogram is a quadrilateral where both pairs of opposite sides are parallel and equal

so

In this problem

PS=QR ----> equation A

SR=PQ ----> equation B

The perimeter of parallelogram PQRS is

P=PQ+QR+SR+PS ----> equation C

substitute equation A and equation B in equation C

$P=2SR+2QR$

we have

$QR=\sqrt{10}\ units$

$SR=4\sqrt{2}\ units$

substitute in the formula of perimeter

$P=2(4\sqrt{2})+2(\sqrt{10})$

$P=(8\sqrt{2}+2\sqrt{10})\ units$

7 0

3 years ago

Read 2 more answers

Find the highest common factor and lowest common factor of 78 and 130

ch4aika [34]

Answer:

The GCF is 26 and the least common factor is 390

Step-by-step explanation:

The GCF is 26 because 2, LCF is 390 because 78x5 equal 390 and 130x3=390.

7 0

3 years ago

The area of a rectangle is 588 in^2. The ratio of the length to the width is 4:3. Find the length and the width

yKpoI14uk [10]

Answer:

Length is 336 in, width is 252 in

Step-by-step explanation:

Divide 588 by 7 which equals 84. Since this one-seventh, and the given ratio is 4:3, multiply 84 by 4 for the length and 84 by 3 for the width.

7 0

3 years ago

In a purse there are 30 coins, twenty one-rupee and remaining 50-paise coins. Eleven coins are picked simultaneously at random a

Masteriza [31]

The solution to the answer is as follows:

0votesanswered Aug 8, 2015 by Shashi Kumar Evangelist (3,082 points)total coins 30
1 rupee coins 20
50 paise coins 10

1 rupee coin probability 20C11
11 coin are picked 30C11
ans should be = 20C11/30C11 = 2/3
I hope my answer has come to your help. God bless and have a nice day ahead!

7 0

4 years ago