4. An herbal extract claimed to more than a placebo was tested as follows. Test 1. Two different samples (1 and 2, 10 subjects each) were obtained from the population, ample 1 was given placebo and sample 2 was given the extract and the means of the samples ere statistically compared based on X1 bar minus X2 bar. st 2. 10 anemic subjects were gives capsules containing lactose for 1 month and their mean cose level (BGL) The extract was given to the same subjects and Hb was measured again them. Differences between readings were obtained as placebo-herbal. e question of interest was does the exact result in significant increase of Hb. The null and native hypothesis are stated as HO: μ ≥ 0, vs HA: μd <0 for Test 1. Ho: p1- 2 2 0, vs HA: p1-u2 <0 for Test 2 HO: μ1-μ2 ≥ 0, vs HA: u1-u2 <0 for Test 1. HO: µd 2 0, vs HA: ud <0 for Test 2 H0 μd = 0, vs HA: ud #0 for Test 1. Ho: p1- p2 = 0, vs HA: u1-u2 #0 for Test 2 HO: μ1-u2 ≤ 0, vs HA: u1-u2 > 0 for Test 1. HO: ud ≤ 0, vs HA: μd > 0 for Test 2 HO: ud 12
4. An herbal extract claimed to more than a placebo was tested as follows. Test 1. Two different samples (1 and 2, 10 subjects each) were obtained from the population, ample 1 was given placebo and sample 2 was given the extract and the means of the samples ere statistically compared based on X1 bar minus X2 bar. st 2. 10 anemic subjects were gives capsules containing lactose for 1 month and their mean cose level (BGL) The extract was given to the same subjects and Hb was measured again them. Differences between readings were obtained as placebo-herbal. e question of interest was does the exact result in significant increase of Hb. The null and native hypothesis are stated as HO: μ ≥ 0, vs HA: μd <0 for Test 1. Ho: p1- 2 2 0, vs HA: p1-u2 <0 for Test 2 HO: μ1-μ2 ≥ 0, vs HA: u1-u2 <0 for Test 1. HO: µd 2 0, vs HA: ud <0 for Test 2 H0 μd = 0, vs HA: ud #0 for Test 1. Ho: p1- p2 = 0, vs HA: u1-u2 #0 for Test 2 HO: μ1-u2 ≤ 0, vs HA: u1-u2 > 0 for Test 1. HO: ud ≤ 0, vs HA: μd > 0 for Test 2 HO: ud 12
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:4. An herbal extract claimed to raise blood hemoglobin (Hb) level in anemic patients
more than a placebo was tested as follows.
Test 1. Two different samples (1 and 2, 10 subjects each) were obtained from the population,
Sample 1 was given placebo and sample 2 was given the extract and the means of the samples
were statistically compared based on X1 bar minus X2 bar.
Test 2. 10 anemic subjects were gives capsules containing lactose for 1 month and their mean
glucose level (BGL). The extract was given to the same subjects and Hb was measured again
for them. Differences between readings were obtained as placebo-herbal.
If the question of interest was does the exact result in significant increase of Hb. The null and
alternative hypothesis are stated as
HO μ ≥ 0, vs HA μ< 0 for Test 1. HO: µ1-2 ≥ 0, vs HA: p1-u2 <0 for Test 2
HO: μ1-μ2 ≥ 0, vs HA: 1- 2 <0 for Test 1. HO: μd 2 0, vs HA: μd <0 for Test 2
HO μ = 0, vs HA: µd #0 for Test 1. Ho: p1- p2 = 0, vs HA: p1- µ2 #0 for Test 2
HO: μ1-u2 s 0, vs HA: p1-u2 > 0 for Test 1. HO: ud s 0, vs HA: ud > 0 for Test 2
HO: μd ≤ 0, vs HA: µd> 0 for Test 1. HO: μ1- 2 ≤ 0, vs HA: p1-u2 > 0 for Test 2
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