Small Sample Mean Problem. A study was done to determine the effect of vitamin supplements for the mother on the birth weight of babies. The sample size was 17. All the women in the study regularly visited a doctor during their pregnancy. The data below show the summary statistics and a stem and leaf plot of the birth weight of the 17 babies. Weight is in kilograms (kg). STEM LEAF 2147 2154 3 02 22 39 43 3 52 68 73 73 41 09 13 33 37 41 47 68 514 Count 1 1 4 4 4 2 1 Mean Median Variance Std Dev CV Count 3.761 3.730 0.531 0.729 19.380 17 in kg, stem is whole number 2147 is 2.47 The average weight of all babies from women receiving regular care during pregnancy in the region of the study was 3.38 kg. (treat this as the Null value). You are asked to conduct a test to see if the sample mean from the mothers given vitamin supplements is greater than the regional average of 3.38. Use alpha = .05.

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Chapter1: Starting With Matlab
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1) Give the p-value of the Hypothesis Test

2) Give the critical value of t for this test

3) Give the Upper Bound of the 95 Confidence Interval

4) Give the test statistic (t*) for this test

Small Sample Mean Problem. A study was done to determine the effect of
vitamin supplements for the mother on the birth weight of babies. The sample
size was 17. All the women in the study regularly visited a doctor during their
pregnancy. The data below show the summary statistics and a stem and leaf plot
of the birth weight of the 17 babies. Weight is in kilograms (kg).
STEM LEAF
2147
2154
3 02 22 39 43
3 52 68 73 73
4 09 13 33 37
41 47 68
514
Count
1
1
4
2
1
Mean
Median
Variance
Std Dev
CV
Count
3.761
3.730
0.531
0.729
19.380
17
in kg, stem is whole number 21|47 is 2.47
The average weight of all babies from women receiving regular care during
pregnancy in the region of the study was 3.38 kg. (treat this as the Null value). You
are asked to conduct a test to see if the sample mean from the mothers given
vitamin supplements is greater than the regional average of 3.38. Use alpha=
.05.
Transcribed Image Text:Small Sample Mean Problem. A study was done to determine the effect of vitamin supplements for the mother on the birth weight of babies. The sample size was 17. All the women in the study regularly visited a doctor during their pregnancy. The data below show the summary statistics and a stem and leaf plot of the birth weight of the 17 babies. Weight is in kilograms (kg). STEM LEAF 2147 2154 3 02 22 39 43 3 52 68 73 73 4 09 13 33 37 41 47 68 514 Count 1 1 4 2 1 Mean Median Variance Std Dev CV Count 3.761 3.730 0.531 0.729 19.380 17 in kg, stem is whole number 21|47 is 2.47 The average weight of all babies from women receiving regular care during pregnancy in the region of the study was 3.38 kg. (treat this as the Null value). You are asked to conduct a test to see if the sample mean from the mothers given vitamin supplements is greater than the regional average of 3.38. Use alpha= .05.
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