We randomly sampled from 250 adults who suffer from stress headaches and compared 4 treatment options:treatment 1, 2, 3 and 4.

The onset time for the treatment to work was recorded in minutes.

The lower the onset time, the faster the treatment provides pain relief.

Will you conclude that some of the treatments provide a quicker pain relief than the others?If so, explain which treatments provide a quicker pain relief.Use a 5% level of significance.

Fornumerical answers, fill in the blanks with the numerical values from the SPSS output that you chose to answer the above question.

You must input your answerexactlyas the measurement appears (to the same number of decimal places) on the SPSS output.Otherwise the automated grader will mark it incorrect.

Fortext answers, choose from the list below to fill in the blanks to interpret the data analysis.

It is best totriple clickon the first word to highlight the word(s) exactly, then right click and copy (or control C) and paste (or control V) into the blank.The answer must matchexactly to one of the choices, otherwise, the automated grader will mark it incorrect.

Remember, do not add any additional spaces or characters.

Note:Use a choice only once.Do not repeat the use of an answer choice.Not all of the choices will be used.

for text answers, choose from:

4

3

2

1

1 and 2

1 and 3

1 and 4

2 and 3

2 and 4

3 and 4

two

right

left

paired

independent

unequal variance

equal/similar variance

support the Ho

support the Ha

post hoc

insufficient

sufficient

reject

fail to reject

the same as

more than

less than

the mean onset time for two of the treatments are statistically the same

some of the means are not the same

the mean onset time for all of the treatments are statistically different

all of the means are the same

it is inconclusive

the mean onset time for treatments 2 and 4 are statistically different.

treatments 2 and 3 provide quicker pain relief than treatment4

treatment 3 provides quicker pain relief than treatments 1 and 4

treatment 1 takes longer to provide pain relief than treatments 4 and 2

treatment 4 takes longer to provide pain relief than treatments 1 and 3

treatment 3 provide quicker pain relief than treatments 2 and 1

ANOVA is used because there are four means of Blank 1 groups being compared.

ANOVA assumes Blank 2 values for the factors being compared and is always a Blank 3 sided test.

The null hypothesis, H_o, is Blank 4.

The alternate hypothesis, H_a, is Blank 5.

The P-value is Blank 6.

In conclusion, at the Blank 7 % level of significance, we Blank 8 the null hypothesis and say there is Blank 9 evidence to Blank 10.

We run a Blank 11 S-N-K test if the null hypothesis is rejected to see which of the means are not statistically the same.

From column 1 of the the S-N-K test, we see that the means of treatments Blank 12 are statistically the same.

From column 2 of the the S-N-K test, we see that the means of treatments Blank 13 are statistically the same.

From the S-N-K test, we see that the means of column 3 is Blank 14 the means of column 1.

In conclusion, the results of the S-N-K test reveal that Blank 15.

Answer the following questions, given the following SPSS output for a One-Way ANOVA test: Oneway ANOVA pain relief Sum of Mean Squares df Square F Sig. Between 979.625 3 326.542 6.212 001 Groups Within Groups 6097.300 116 52.563 Total 7076.925 119 Post Hoc Tests Homogeneous Subsets pain relief Student-Newman-Keuls Subset for alpha = 0.05 treatment N 2 3 3 30 47.03 2 30 49.63 49.63 4 30 53.33 53.33 1 30 54.10 Sig. 168 050 .683 Means for groups in homogeneous subsets are displayed. a. Uses Harmonic Mean Sample Size = 30.000