All the information is given

Show the exponential smoothing forecasts using ? = 0.1. (Round your answers to three decimal places.)

WeekTime Series

ValueForecast

117

221

320

423

518

617

720

817

923

1021

1115

1223

(b)

Applying the MSE measure of forecast accuracy, would you prefer a smoothing constant of ? = 0.1 or ? = 0.2 for the gasoline sales time series? (Round your answers to two decimal places.)

Using ? = 0.1 MSE is, and using ? = 0.2 MSE is, so we would prefer a smoothing constant of--?-- 0.1 0.2.

(c)

Are the results the same if you apply MAE as the measure of accuracy? (Round your answers to two decimal places.)

Using ? = 0.1 MAE is, and using ? = 0.2 MAE is, so the results---Select--- are are notthe same as applying MSE as our measure of accuracy.

(d)

What are the results if MAPE is used? (Round your answers to two decimal places.)

Using ? = 0.1 MAPE is%, and using ? = 0.2 MAPE is%, so we would prefer a smoothing constant of--?-- 0.1 0.2

Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents.

x days74773496208

y km/10014.919.15.811.935.7

(a) Find

?x,

?y,

?x2,

?y2,

?xy,

and

r.

(Round r to three decimal places.)

?x =

?y =

?x2 =

?y2 =

?xy =

r =

(b) Use a 1% level of significance to test the claim

? > 0.

(Round your answers to two decimal places.)

t =

critical t =

Conclusion

Reject the null hypothesis, there is sufficient evidence that ? > 0.Reject the null hypothesis, there is insufficient evidence that ? > 0.Fail to reject the null hypothesis, there is insufficient evidence that ? > 0.Fail to reject the null hypothesis, there is sufficient evidence that ? > 0.

(c) Find

Se,

a,

and

b.

(Round your answers to four decimal places.)

Se =

a =

b =

(d) Find the predicted distance (km/100) when a drift bottle has been floating for 80 days. (Round your answer to two decimal places.)

km/100

(e) Find a 90% confidence interval for your prediction of part (d). (Round your answers to two decimal places.)

lower limitkm/100

upper limitkm/100

(f) Use a 1% level of significance to test the claim that

? > 0.

(Round your answers to two decimal places.)

t =

critical t =

Conclusion

Reject the null hypothesis, there is sufficient evidence that ? > 0.Reject the null hypothesis, there is insufficient evidence that ? > 0.Fail to reject the null hypothesis, there is insufficient evidence that ? > 0.Fail to reject the null hypothesis, there is sufficient evidence that ? > 0.

In a recent court case it was found that during a period of 11 years

895

people were selected for grand jury duty and

43?%

of them were from the same ethnicity. Among the people eligible for grand jury? duty,

78.4?%

were of this ethnicity. Use a

0.05

significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null? hypothesis, alternative? hypothesis, test? statistic, P-value, conclusion about the null?hypothesis, and final conclusion that addresses the original claim. Use the? P-value method and the normal distribution as an approximation to the binomial distribution.

Which of the following is the hypothesis test to be? conducted?

A.

H0: p?0.784

H1: p=0.784

B.

H0: p=0.784

H1: p?0.784

C.

H0: p>0.784

H1: p=0.784

D.

H0: p=0.784

H1: p>0.784

E.

H0: p

H1: p=0.784

F.

H0: p=0.784

H1: p

Your answer is correct.

What is the test? statistic?

z=

?(Round to two decimal places as? needed.)

P-value=

Identify the conclusion

Suppose you are an epidemiologist who did a survey of 1,150 women who gave birth in Malabon City in 2010, a total of 468 reported taking a multivitamin at least 4 times a week during the month before becoming pregnant. Calculate the prevalence of frequent multivitamin use in this group. Express the rate per 100 population.

Using step-by-step process

The following data pertain to cosmic ray doses measured at various altitudes.

Data in image 1

A) Fit an exponential curve

B) Use the result from part A to estimate the mean dose at a 3000-foot unit.

C) Change the equation obtained in part A to the form (image 2), then use the result to rework part B.

D) Fit a Gompertz curve of the shape (image 2)

Show the exponential smoothing forecasts using ? = 0.1. (Round your answers to three decimal places.)

WeekTime Series

ValueForecast

117

221

320

423

518

617

720

817

923

1021

1115

1223

(b)

Applying the MSE measure of forecast accuracy, would you prefer a smoothing constant of ? = 0.1 or ? = 0.2 for the gasoline sales time series? (Round your answers to two decimal places.)

Using ? = 0.1 MSE is, and using ? = 0.2 MSE is, so we would prefer a smoothing constant of--?-- 0.1 0.2.

(c)

Are the results the same if you apply MAE as the measure of accuracy? (Round your answers to two decimal places.)

Using ? = 0.1 MAE is, and using ? = 0.2 MAE is, so the results---Select--- are are notthe same as applying MSE as our measure of accuracy.

(d)

What are the results if MAPE is used? (Round your answers to two decimal places.)

Using ? = 0.1 MAPE is%, and using ? = 0.2 MAPE is%, so we would prefer a smoothing constant of--?-- 0.1 0.2

Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents.

x days74773496208

y km/10014.919.15.811.935.7

(a) Find

?x,

?y,

?x2,

?y2,

?xy,

and

r.

(Round r to three decimal places.)

?x =

?y =

?x2 =

?y2 =

?xy =

r =

(b) Use a 1% level of significance to test the claim

? > 0.

(Round your answers to two decimal places.)

t =

critical t =

Conclusion

Reject the null hypothesis, there is sufficient evidence that ? > 0.Reject the null hypothesis, there is insufficient evidence that ? > 0.Fail to reject the null hypothesis, there is insufficient evidence that ? > 0.Fail to reject the null hypothesis, there is sufficient evidence that ? > 0.

(c) Find

Se,

a,

and

b.

(Round your answers to four decimal places.)

Se =

a =

b =

(d) Find the predicted distance (km/100) when a drift bottle has been floating for 80 days. (Round your answer to two decimal places.)

km/100

(e) Find a 90% confidence interval for your prediction of part (d). (Round your answers to two decimal places.)

lower limitkm/100

upper limitkm/100

(f) Use a 1% level of significance to test the claim that

? > 0.

(Round your answers to two decimal places.)

t =

critical t =

Conclusion

Reject the null hypothesis, there is sufficient evidence that ? > 0.Reject the null hypothesis, there is insufficient evidence that ? > 0.Fail to reject the null hypothesis, there is insufficient evidence that ? > 0.Fail to reject the null hypothesis, there is sufficient evidence that ? > 0.

In a recent court case it was found that during a period of 11 years

895

people were selected for grand jury duty and

43?%

of them were from the same ethnicity. Among the people eligible for grand jury? duty,

78.4?%

were of this ethnicity. Use a

0.05

significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null? hypothesis, alternative? hypothesis, test? statistic, P-value, conclusion about the null?hypothesis, and final conclusion that addresses the original claim. Use the? P-value method and the normal distribution as an approximation to the binomial distribution.

Which of the following is the hypothesis test to be? conducted?

A.

H0: p?0.784

H1: p=0.784

B.

H0: p=0.784

H1: p?0.784

C.

H0: p>0.784

H1: p=0.784

D.

H0: p=0.784

H1: p>0.784

E.

H0: p

H1: p=0.784

F.

H0: p=0.784

H1: p

Your answer is correct.

What is the test? statistic?

z=

?(Round to two decimal places as? needed.)

P-value=

Identify the conclusion

Suppose you are an epidemiologist who did a survey of 1,150 women who gave birth in Malabon City in 2010, a total of 468 reported taking a multivitamin at least 4 times a week during the month before becoming pregnant. Calculate the prevalence of frequent multivitamin use in this group. Express the rate per 100 population.

Using step-by-step process

The following data pertain to cosmic ray doses measured at various altitudes.

Data in image 1

A) Fit an exponential curve

B) Use the result from part A to estimate the mean dose at a 3000-foot unit.

C) Change the equation obtained in part A to the form (image 2), then use the result to rework part B.

D) Fit a Gompertz curve of the shape (image 2)

Altitud Tasa de dosis Altitud Tasa de dosis X Y X 50 28 4400 51 450 30 4800 58 780 32 5300 69 1200 36