A dendritic tree is a stretched design that radiates from the body of a nerve cell. As a component of an investigation of mental health, 36 nerve cells were taken from the minds of infant guinea pigs. The specialists tallied the quantity of dendritic branch portions exuding from each nerve cell. The numbers were as per the following:

7 30 54 28 31 29 34 35 30 27 21 43 51 35 51 49 35 24 26 29 21 29 37 27 28 33 23 37 27 40 48 141 20 30 57

What percent of the perceptions are inside? a) 1 SD of the mean?

b) 2 SDs of the mean?

c) 3 SDs of the mean?

d) Draw the boxplot (altered)

Since all carrier travelers don't appear for their saved seat, an aircraft sells n = 125 tickets for a flight that holds just 120 travelers. The likelihood that a traveler doesn't show up is 0.15. Accept that the travelers act indepedently.

a.) Calculate the mean and the fluctuation of x.

b.) Find the likelihood that the flight withdraws with void seats.

c.) Determine the likelihood mass capacity of the quantity of travelers (x) who appear for the flight.

An electronic scale at a robotized filling activity stops the assembling

line after three underweight bundles are distinguished. Assume that the probabilty

of an underweight bundle is 0.02 and fills are free:

a.) Find the likelihood that at any rate 100 fills can be finished before the assembling line is halted.

b.) Calculate the change and mean of x.

c.) Determine the likelihood mass capacity of the quantity of fills (x) before the assembling line is halted.

Large Corporation promotes that its lights have a mean lifetime,

, of

2900

hours. Assume that we have motivation to question this guarantee and choose to do a measurable trial of the case. We pick an irregular example of lights produced by BIG and track down that the mean lifetime for this example is

3040

hours and that the example standard deviation of the lifetimes is

600

hours.

In light of this data, answer the inquiries beneath.

What are the invalid theory (

H0

) and the elective speculation (

H1

) that ought to be utilized for the test?

H0

:

is

H1

:

is

With regards to this test, what is a Type II mistake?

A Type II blunder is the theory that

..14..

is when, indeed,

is .

Assume that we choose to dismiss the invalid theory. What kind of blunder may we make?