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One particular morming, the length of time spent in the examination rooms is recorded for each patient seen by each physician at an orthopedic clinic in Examination Rooms (minutes) Physician 1 35 Physician 2 32 32 31 28 Physician 3 19 Physician 4 32 27 31 31 30 26 35 34 19 40 Fill in the missing data (Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 3 decimal places.) Physician 1 Physician 2 Physician 3 Physician4 One-Factor ANOVA (a) Based on the given hypotheses, choose the correct option. MacBook Pro 20 SC 2 3
(a) Based on the given hypotheses, choose the correct option. Hy: Not all the means are equal a 0.05 Reject the null hypothesis if F <3.01 O Reject the null hypothesis if F>3.01 (b) Calculate the F for one factor. (Round your answer to 2 decimal places) F for one factor is (c)On the basis of the above findings, we reject the null hypothesis. Is the statement true? Yes O No Hints References eBook &Resources 29 Mac 39 F2 名。 F3 F1 F4 2 3 4
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Minitab-Untitled- [Session] File Edit Data Calc Stat Graph Editor Tools Window Help Assistant 日 鼎 x1脸范ㄧ勺ぐ|C)↑↓鈍鷓 O@E||幻园倫0 f] One-way ANOVA: Time in Examination Rooms versus Physician Factor Method Null hypothesis Alternative hypothesis At least one mean is different Significance level All means are equal α=0.05 Equal variances were assumed for the analysis Factor Information Levels Values Factor Physician Factor 4 Physician 1, Physician 2, Physician 3, Physician 4 Analysis of Variancee DF Adj SS Adj MS F-Value P-Value 0.076 Source Treatment Error Total 2.59 3 183.8 61.27 24 567.9 23.66 27 751.7 Model Summary R-sq 4.86443 24.45% R-sq (adj) 15. 01% R-sq (pred) 0. 00% Means Physician Factor Physician 1 7 27.86 5.49 (24.06, 31.65) Physician 2 6 33.67 5.54 (29.57, 37.77) Physician 3 8 28.00 4.21 (24.45, 31.55) Physician 4 7 32.43 4.28 (28.63, 36.22) N Mean StDev 95% CI Pooled StDev = 4.86443

b) The F statistic for one factor is F = 2.59

At 5% level of significance, we reject H0 if 3.01

Here,

Since F statistic gtr 3.01, so we fail to reject H0 at 5% level of significance.

ans-> No

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