Park officials make predictions of times to the next eruption of a particular geyser, and collect data for the errors (minutes) in those predictions. the display from technology available below results from using the prediction errors to test the claim that the mean prediction error is equal to zero. comment on the accuracy of the predictions. use a

0.05

significance level. identify the null and alternativehypotheses, test statistic, p-value, and state the final conclusion that addresses the original claim.



click the icon to view the display from technology.

what are the null and alternative hypotheses?

a.

upper h 0h0:

muμequals=00

minutes

upper h 1h1:

muμless than< 00

minutes

b.

upper h 0h0:

muμequals=00

minutes

upper h 1h1:

muμnot equals≠00

minutes

c.

upper h 0h0:

muμequals=00

minutes

upper h 1h1:

muμgreater than> 00

minutes

d.

upper h 0h0:

muμless than< 00

minutes

upper h 1h1:

muμequals=00

minutes

identify the test statistic.

nothing

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative

answer: the sun

explanation:

water cycle describes the evaporation of water from earth's surface, formation of clouds and precipitation water back onto the surface of earth. seventy percent of the earth is covered with water in the form of seas and oceans. the heat of the sun causes the evaporation of water from the surface of the ocean. the water vapors rise and condense to form water droplets. the collection of these water droplets form clouds which rain down again.

the evaporation of the oceans surface water as part of the water cycle is caused by the sun

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.

the rate of change is 25