Question

In: Statistics and Probability

The head injury data are shown in the following table. Subcompact: 681 428 917 898 420...

The head injury data are shown in the following table.

Subcompact: 681 428 917 898 420

Compact: 643 655 442 514 525

Midsize: 469 727 525 454 259

Full-size: 384 656 602 687 360

Table 5: Head Injury & Car Crash

At α = 0.05 level of significance, test the claim that different weight categories have the same mean by using the data in table 5.

(a) Clearly state H0 and H1.

H0 :

H1 :

(b) Find all related critical values, draw the distribution, clearly mark and shade the critical region(s). Give the name of the program you used for this step as well as any degrees of freedom. Drawing & Shading Required.

(c) Find the computed test statistic, and the P-value.

C.T.S. :

P-Value :

(d) Use non-statistical terminology to state your final conclusion.

Expert Solution

Subcompact	Compact	Midsize	Fullsize
681	643	469	384
428	655	727	656
917	442	525	602
898	514	454	687
420	525	259	360

(a)

(a) H0: There is no difference between the treatment means; that is, μ1 = μ2 = μ3 = μ4
H1: At least one among μ1, μ2, μ3 and μ4 is different from the other three

(b) Df (Treatment) = 3, Df (Error) = 16, α = 0.05, Critical F score = 3.2389

(c) ANOVA

SUMMARY
Groups	Count	Sum	Average	Variance
Subcompact	5	3344	668.8	58542.7
Compact	5	2779	555.8	8272.7
Midsize	5	2434	486.8	28110.2
Fullsize	5	2689	537.8	23905.2


ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	88425	3	29475	0.992167	0.42157	3.238872
Within Groups	475323.2	16	29707.7

Total	563748.2	19

Test F- score = 0.9922, p- value = 0.4216

Since the p- value > 0.05, we fail to reject Ho

There is no sufficient evidence that the four groups have significantly different means.

[I have used Excel for the ANOVA table and STATDISK to get the plot]

orchestra answered 2 years ago

Consider the headway data shown in the following table. Data was taken from the center lane...

Consider the headway data shown in the following table. Data was taken from the center lane a three-lane intersection approach for a total of ten signal cycles. For the purposes of the analysis, the data may be considered to have been collected under ideal conditions. Calculate the average headway per vehicle ID, and plot the average headways with respect to vehicle positions in the queue for the data shown below. Sketch an approximate best-fit curve through the data. Use the...

Music MogulsNicole, Aleenaand Shaked, aka N.A.S.!compiled the following data shown in the table. The table shows...

Music MogulsNicole, Aleenaand Shaked, aka N.A.S.!compiled the following data shown in the table. The table shows the predicted number of cd’s sold for a song, based on audience impressions, in hundreds of millions. Note: Number of cd’s sold are in hundreds of millions. Audience Impressions (x): 28 13 14 24 20 18 14 24 17 Cd's sold (y): 19 7 7 20 6 2 5 25 12 b. Find “y-hat” (linear regression equation). Use 2 decimal places for “b0”and 1decimal...

Cartwell Products has compiled the data shown in the following table for the current costs of...

Cartwell Products has compiled the data shown in the following table for the current costs of its three basic sources of capital—long-term debt, preferred stock, and common stock equity—for various ranges of new financing. Source of capital Range of new financing After tax cost Long term debt $0 to $ 320 000 $320 000 and above 6% 8% Preferred stock $0 and above 17% Common stock equity $0 to $ 200 000 $ 200 000 and above 20% 24% The...

Consider the data shown in the following table. Identify any modifications that would result in a...

Consider the data shown in the following table. Identify any modifications that would result in a more effective table. Comment the characteristics of participants. Baseline Characteristics of Participants in Randomized Trial Characteristic Treatment Group (n = 361) Placebo Group (n = 344) Age, years 45.8 47.6 Male sex 201 198 Systolic blood pressure 128.25 ± 14.2 121.7 ± 13.91 Race/ethnicity Asian 184 180 White 107 100 Hispanic 70 64

A physician orders mannitol (Osmitrol) for a client with a closed head injury. Which of the...

A physician orders mannitol (Osmitrol) for a client with a closed head injury. Which of the following should the nurse recognize as the desired response to this medication? a). The blood pressure increases to 150/99 mmHg b). Urinary output increases to 175 cc/hr c). There is decrease in the level of activity d). There is absense of fine tremors of the fingers

The client was involved in a motor vehicle accident and sustained a significant head injury as...

The client was involved in a motor vehicle accident and sustained a significant head injury as well as severe damage to his back. The health care provider has ordered a stimulation test. (Learning Objectives: 3, 6, and 7) What is the rationale for ordering the stimulation test for this client? Why would you be concerned if the client sustained damage to his pituitary gland? Explain the difference between positive and negative feedback in the endocrine system. List advantages and disadvantages...

Consider the following data on x and y shown in the table below, x 2 4...

Consider the following data on x and y shown in the table below, x 2 4 7 10 12 15 18 20 21 25 y 5 10 12 22 25 27 39 50 47 65 Fit the model E(y)=β0+β1x to the data, and plot the residuals versus x for the model on Minitab. Do you detect any trends? If so, what does the pattern suggest about the model?

Initial rate data for an enzyme that obeys Michaelis-Menten kinetics are shown in the following table....

Initial rate data for an enzyme that obeys Michaelis-Menten kinetics are shown in the following table. When the enzyme concentration is 3 nmol ml−1, a Lineweaver-Burk plot of this data gives a line with a y-intercept of 0.00426 (μmol−1ml s). [S] μM v0 (μmol ml−1 s−1) 320 169 160 132 80.0 92.0 40.0 57.2 20.0 32.6 10.0 17.5 a. Calculate Kcat for the reaction b. Calculate Km for the enzyme cWhen the reactions in part (B) are repeated in the...

Data on oxide thickness of semiconductors are as follows: 424 431 414 417 420 434 420...

Data on oxide thickness of semiconductors are as follows: 424 431 414 417 420 434 420 408 430 431 423 426 409 436 435 430 413 426 410 436 422 429 415 414 Consider this data as a sample of the population. (a) Calculate a point estimate of the mean oxide thickness for all wafers in the population. (Round your answer to 3 decimal places.) (b) Calculate a point estimate of the standard deviation of oxide thickness for all wafers...

Consider the following table. > addmargins(table(mpg$drv,mpg$class)) 2seater compact midsize minivan pickup subcompact suv Sum 4 0...

Consider the following table. > addmargins(table(mpg$drv,mpg$class)) 2seater compact midsize minivan pickup subcompact suv Sum 4 0 12 3 0 33 4 51 103 f 0 35 38 11 0 22 0 106 r 5 0 0 0 0 9 11 25 Sum 5 47 41 11 33 35 62 234 while 38 of the 41 midsize vehicles have front wheel drive. We wish the test that the proportion of front wheel drive cars is the same in We see that...