– Analysis of Variance Suppose we want to examine the safety of compact cars, midsize cars,...

– Analysis of Variance

Suppose we want to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of five for each type of cars. Test, whether the mean pressure applied to the driver’s head during a crash test, is equal for each types of car and tell which type of cars had a significant effect on the accident injuries. Use α = 5%.

Compact cars	midsize cars	full-size cars
625	437	490
675	475	446
712	525	402
716	510	490
680	450	460

Set Null and alternative hypothesis:
Do step by step calculations to determine the calculated F and compare it to the critical f stat.
Set your Decision Rule, interpretation and conclusion.
Apply ANOVA using Excel and check your results.
Apply t-test two-samples assuming equal variances to determine which type of cars had a significant effect on the accident injuries.

Expert Solution

orchestra answered 2 years ago

Suppose the National Transportation Safety Board wants to examine the safety of compact cars, midsize cars,...

Suppose the National Transportation Safety Board wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Test the claim that the mean pressure applied to the driver's head during a crash is equal for all three types of cars. Use α = 0.05 Compact Cars 643 655 702 Midsize Cars 469 427 525 Full-size Cars 484 456 402 Show your 6 steps labeled in...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of ten for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is equal for each types of car. At the 0.05 significance level, can we conclude that there is a difference in the mean pressures between compact, midsize...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of cars each of the cars types. The data below displays the frontal crash test performance percentages. Test whether there are statistical differences in the frontal crash test performance for each type of car. Compact Cars Midsize Cars Full-Size Cars 95 95 93 98 98 97 87 98 92 99 89 92 99 94 84 94...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the data provided below, test whether the mean pressure applied to the driver’s head during a crash test is equal for each types of car. Use α = 5%. Compact cars Midsize cars Full-size cars 64 46 47 65 43 45 69 52 40 Average: 66...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the car types. Using the data provided below Pressure Car Type 643 Compact 655 Compact 702 Compact 469 MidSize 427 MidSize 525 MidSize 484 FullSize 456 FullSize 402 FullSize Test, using Mood’s Median Test, whether the median pressure applied to the driver’s head during a crash test is equal for each...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of cars each of the cars types. The data below displays the frontal crash test performance percentages. Compact Cars Midsize Cars Full-Size Cars 95 95 93 98 98 97 87 98 92 99 89 92 99 94 84 94 88 87 99 93 88 98 99 89 Patrick wants to purchase a new car, but he...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of cars each of the cars types. The data below displays the frontal crash test performance percentages. Test whether there are statistical differences in the frontal crash test performance for each type of car. Compact Cars Midsize Cars Full-Size Cars 95 95 93 98 98 97 87 98 92 99 89 92 99 94 84 94...

7. Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars,...

7. Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). The hypothetical data provided below from 10 trials report the mean pressure applied to the driver’s head during a crash test for each type of car. Compact: 635, 671, 648, 685, 648, 651, 654, 682, 687, 627 Midsize: 482, 529, 541, 518, 497, 526, 507, 492,...

All cars can be classified into one of four? groups: the? subcompact, the? compact, the?midsize, and...

All cars can be classified into one of four? groups: the? subcompact, the? compact, the?midsize, and the? full-size. There are five cars in each group. Head injury data? (in hic) for the dummies in the? driver's seat are listed below. Use a 0.05 significance level. Find the? P-value to test the null hypothesis that the different weight categories have the same mean. Do the sample data suggest that larger cars are? safer? Subcompact Compact Midsize Full-size 681 643 469 384...

The Ontario Ministry of Transportation is studying the relative safety of compact cars, mid-sized cars, and...

The Ontario Ministry of Transportation is studying the relative safety of compact cars, mid-sized cars, and full size cars. Safety data is collected from a random sample of four cars for each of three car types. Using the data provided below, test whether the mean pressure applied to the driver’s head during a crash test is on average equal for each of the car types. Use a significance level of 1%. Please show all the steps Compact Mid-Sized Full Sized...

Question

– Analysis of Variance Suppose we want to examine the safety of compact cars, midsize cars,...

Solutions

Expert Solution

Related Solutions

Suppose the National Transportation Safety Board wants to examine the safety of compact cars, midsize cars,...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize...

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize...

7. Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars,...

All cars can be classified into one of four? groups: the? subcompact, the? compact, the?midsize, and...

The Ontario Ministry of Transportation is studying the relative safety of compact cars, mid-sized cars, and...