I used a one-tail, one sample Student's t-test. The following table includes the descriptive statistics for each sample and the Minitab output for the t-test results. Vit d levels: 405, 440, 380, 360, 375, 401, 390, 398, 357, 400, 369, 350, 404, 379, 385, 362, 378, 380, 359, 390 Descriptive Statistics 95% Upper Bound for u 391 39 N Mean StDev SE Mean 20 SK3.10 21.45| 4.80 и: теаn of Vit d Test Null hypethesis Altemative hypohesis Hs 400 T-Value P-Value -3.52 H -400 The T-value of -3.52 with the associated P-value <0.001 indicates that the null hypothesis of a sample mean equal to or greater than 400 IU must be rejected. Furthermore, we can conclude that the sample mean is significantly less than 400 IU and so the manufacturer should look into why their production is resulting in inadequate doses. PROBLEMS TO DO 1. A certain enzyme in the liver of fish is considered an indicator of trace amounts of a dangerous pollutant that is difficult to detect by chemical means. Enzyme activities of less than 50 units per gram of liver indicate the presence of the pollutant. A random sample of fish was taken from a stream and the following enzyme concentrations were obtained. Is the mean enzyme activity greater or less than 50 units per gram in this population of fish? 48 43 51 42 50 42 44 45 56 49 44 47 50 49 38 46 38 52 32 56 2. Seven tomato plants were treated with chlorogenic acid (and seven control plants were not treated) to determine if this acid influences the activity of the enzyme o-diphenol oxidase in their leaves which is normally 13 units. The enzyme activity data are presented below. Does this treatment affect enzyme activity? TREATED - 35 45 36 11 41 29 38
I used a one-tail, one sample Student's t-test. The following table includes the descriptive statistics for each sample and the Minitab output for the t-test results. Vit d levels: 405, 440, 380, 360, 375, 401, 390, 398, 357, 400, 369, 350, 404, 379, 385, 362, 378, 380, 359, 390 Descriptive Statistics 95% Upper Bound for u 391 39 N Mean StDev SE Mean 20 SK3.10 21.45| 4.80 и: теаn of Vit d Test Null hypethesis Altemative hypohesis Hs 400 T-Value P-Value -3.52 H -400 The T-value of -3.52 with the associated P-value <0.001 indicates that the null hypothesis of a sample mean equal to or greater than 400 IU must be rejected. Furthermore, we can conclude that the sample mean is significantly less than 400 IU and so the manufacturer should look into why their production is resulting in inadequate doses. PROBLEMS TO DO 1. A certain enzyme in the liver of fish is considered an indicator of trace amounts of a dangerous pollutant that is difficult to detect by chemical means. Enzyme activities of less than 50 units per gram of liver indicate the presence of the pollutant. A random sample of fish was taken from a stream and the following enzyme concentrations were obtained. Is the mean enzyme activity greater or less than 50 units per gram in this population of fish? 48 43 51 42 50 42 44 45 56 49 44 47 50 49 38 46 38 52 32 56 2. Seven tomato plants were treated with chlorogenic acid (and seven control plants were not treated) to determine if this acid influences the activity of the enzyme o-diphenol oxidase in their leaves which is normally 13 units. The enzyme activity data are presented below. Does this treatment affect enzyme activity? TREATED - 35 45 36 11 41 29 38
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Transcribed Image Text:I used a one-tail, one sample Student's t-test. The following
table includes the descriptive statistics for each sample and the
Minitab output for the t-test results.
Vit d levels: 405, 440, 380, 360, 375, 401, 390, 398, 357, 400,
369, 350, 404, 379, 385, 362, 378, 380, 359, 390
Descriptive Statistics
95% Upper Bound
for u
391 39
N Mean StDev SE Mean
20 SK3.10 21.45|
4.80
и: теаn of Vit d
Test
Null hypethesis
Altemative hypohesis Hs 400
T-Value P-Value
-3.52
H -400
The T-value of -3.52 with the associated P-value <0.001
indicates that the null hypothesis of a sample mean equal to or
greater than 400 IU must be rejected. Furthermore, we can
conclude that the sample mean is significantly less than 400 IU
and so the manufacturer should look into why their production is
resulting in inadequate doses.
PROBLEMS TO DO
1. A certain enzyme in the liver of fish is considered an
indicator of trace amounts of a dangerous pollutant that
is difficult to detect by chemical means. Enzyme
activities of less than 50 units per gram of liver indicate
the presence of the pollutant. A random sample of fish
was taken from a stream and the following enzyme
concentrations were obtained. Is the mean enzyme
activity greater or less than 50 units per gram in this
population of fish?
48
43
51
42
50
42
44
45
56
49
44
47
50
49
38
46
38
52
32
56
2. Seven tomato plants were treated with chlorogenic acid
(and seven control plants were not treated) to determine if
this acid influences the activity of the enzyme o-diphenol
oxidase in their leaves which is normally 13 units. The
enzyme activity data are presented below. Does this
treatment affect enzyme activity?
TREATED -
35
45
36
11 41
29
38
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