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# Analysis of Variance results: Responses: Length Factors: Smoking Response statistics by factor Smoking n Mean Std. Dev. Std. Error: HS 36 48

This is an ANOVA table for the length of newborn babies at birth sorted into categories based on whether their mothers were heavy smokers (HS), medium smokers (MS), or non-smokers (NS) during their pregnancy. Specify the distribution of the test statistic under the null hypothesis. What is the pooled estimate of the variance?

Here is the data used to create the ANOVA table:

```LENGTH	WEIGHT	SMOKING	WEIGHT6
40.2	2245	HS	2345
41.3	2299	HS	2401
41.7	2333	HS	2405
41.9	2304	HS	2378
43.4	2488	HS	2589
44	2499	HS	2599
44.9	2573	HS	2667
45.6	2444	HS	2503
45.7	2653	HS	2788
46.8	2701	HS	2799
47.2	2689	HS	2788
47.1	2721	HS	2884
47.1	2786	HS	2953
47.4	2699	HS	2861
47.6	2611	HS	2768
47.7	2742	HS	2907
48	2799	HS	2967
48.1	2745	HS	2910
48.2	2684	HS	2845
48.2	2755	HS	2920
48.4	2821	HS	2990
48.5	2799	HS	2967
49	2732	HS	2896
49.2	2689	HS	2850
49.3	2652	HS	2811
49.3	2901	HS	3075
50.2	2976	HS	3155
50.5	3022	HS	3203
51	3096	HS	3282
51.4	3178	HS	3369
51.5	3052	HS	3235
52.4	3036	HS	3218
52.5	3111	HS	3298
52.9	3089	HS	3274
54.8	3254	HS	3449
55	3358	HS	3559
45.1	2413	MS	2560
45.7	2497	MS	2578
45.8	2623	MS	2720
46.7	2687	MS	2801
47.3	2584	MS	2678
48.5	2772	MS	2899
48.7	2799	MS	2900
48.8	2878	MS	2945
48.8	2934	MS	3003
48.9	2964	MS	3100
49.5	2994	MS	3102
49.6	2879	MS	3052
50.6	3358	MS	3504
51	3242	MS	3324
51	3326	MS	3488
51.1	3378	MS	3500
52.5	3527	MS	3706
53.2	3675	MS	3802
53.9	3723	MS	3864
44.3	2984	NS	3163
45.3	3156	NS	3345
46.9	3243	NS	3438
47	3131	NS	3319
47.2	3089	NS	3274
47.8	3256	NS	3451
47.8	3531	NS	3743
48.5	3427	NS	3633
48.8	3367	NS	3569
49.6	3388	NS	3591
50.1	3467	NS	3675
50.2	3368	NS	3570
50.4	3297	NS	3495
50.5	3579	NS	3794
50.5	3462	NS	3670
50.8	3625	NS	3843
50.9	3511	NS	3722
50.9	3462	NS	3670
51.2	3683	NS	3904
51.3	3522	NS	3733
51.4	3645	NS	3864
51.4	3478	NS	3687
51.7	3572	NS	3786
51.7	3298	NS	3496
51.7	3573	NS	3787
51.7	3673	NS	3893
51.8	3793	NS	4021
52.1	3572	NS	3786
52.6	3478	NS	3687
52.9	3555	NS	3768
53	3864	NS	4096
53.5	3721	NS	3944
53.7	3688	NS	3909
54.3	3843	NS	4074
55.4	3944	NS	4181
55.4	3842	NS	4073
55.9	3753	NS	3978
56.2	3955	NS	4192
56.5	4055	NS	4298
```

Analysis of Variance results:
Responses: Length
Factors: Smoking Response statistics by factor
Smoking ¢ n ¢ Mean ¢ Std. Dev. ¢ Std. Error: HS 36 48 3.6889523 D.6DDl58?1 MS 19 49.3 2.5o24433 o.5?4o9965 N5 39 51.1 2.89?4581 8.46396461
AHD‘U'A table Source DF SS HS F-Stat P-value Smoking 2 181.3?489 98.68?44? 9.318816? 8.8882
Error 91 885.58 93316484
Total 93 1866.9549

Specify the distribution of the test statistic under the null hypothesis. Note that F -statistics has an F distribution... View the full answer

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