A car mechanical production system activity has a booked mean fruition time,

, of

13

minutes. The standard deviation of culmination times is

1.3

minutes. It is asserted that, under new administration, the mean finishing time has diminished. To test this case, an arbitrary example of

150

consummation times under new administration was taken. The example had a mean of

12.7

minutes. Would we be able to help, at the

0.01

level of importance, the case that the mean consummation time has diminished under new administration? Accept that the standard deviation of culmination times has not changed.

Play out a one-followed test. At that point total the parts underneath.

Convey your halfway calculations to at least three decimal places, and round your reactions as determined underneath. (On the off chance that important, counsel a rundown of equations.)

(a) State the invalid speculation

H0

also, the elective theory

H1

.

H0:

H1:

(b) Determine the sort of test measurement to utilize.

(Choose one)

(c) Find the worth of the test measurement. (Round to at least three decimal spots.)

(d) Find the p-esteem. (Round to at least three decimal spots.)

(e) Can we support the case that the mean consummation time has diminished under new administration?

Indeed No

The records of a setback insurance agency show that, before, its customers have had a mean of

1.9

car collisions each day with a difference of

0.0025

. The statisticians of the organization guarantee that the fluctuation of the quantity of mishaps each day is not, at this point equivalent to

0.0025

. Assume that we need to do a theory test to check whether there is support for the statisticians' case. Express the invalid speculation

H0

also, the elective speculation

H1

that we would use for this test.

H0

:

H1

..15..

:

The records of a loss insurance agency show that, previously, its customers have had a mean of

1.7

car crashes each day with a standard deviation of

0.05

. The statisticians of the organization guarantee that the standard deviation of the quantity of mishaps each day is not, at this point equivalent to

0.05

. Assume that we need to complete a theory test to check whether there is support for the statisticians' case. Express the invalid speculation

H0

also, the elective theory

H1

that we would use for this test.

H0

:

H1

:

The every day interest for duplicates of a film magazine at an assortment store has the likelihood appropriation as

follows.

Number of Copies X Probability ?(?)

0 0.06

1 0.14

2 0.16

3 0.14

4 0.12

5 0.10

6 0.08

7 0.07

8 0.06

9 0.04

10 0.03

1. Find ?(? 2)

2. Find ?(? 7)

3. Discover ?(3 ? 6)

4. What is the likelihood that at least three duplicates will be requested in a specific day?

5. What is the likelihood that the interest will be at any rate two however not more than six?