2. Using the data provided in question 1, assume now that the data was obtained from two indepen- dent samples. That is, 28 subjects were enrolled into the study, and half were randomly assigned to the corn flakes diet, and half to the oat bran diet. After two weeks the LDL cholesterol level of each individual was recorded. (a) What are the appropriate null and alternative hypotheses for a two-sided test? (b) Conduct the test at the 0.05 level of significance. What is the p-value? (c) What do you conclude? (d) Construct a 95% confidence interval.

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Parts a b and d per the three part rule

2. Using the data provided in question 1, assume now that the data was obtained from two independent samples. That is, 28 subjects were enrolled into the study, and half were randomly assigned to the corn flakes diet, and half to the oat bran diet. After two weeks the LDL cholesterol level of each individual was recorded. 

(a) What are the appropriate null and alternative hypotheses for a two-sided test? 

(b) Conduct the test at the 0.05 level of significance. What is the p-value? 

(c) What do you conclude? 

(d) Construct a 95% confidence interval. 

(e) Compare the results obtained in this problem with the results obtained in question 1.
Transcribed Image Text:2. Using the data provided in question 1, assume now that the data was obtained from two independent samples. That is, 28 subjects were enrolled into the study, and half were randomly assigned to the corn flakes diet, and half to the oat bran diet. After two weeks the LDL cholesterol level of each individual was recorded. (a) What are the appropriate null and alternative hypotheses for a two-sided test? (b) Conduct the test at the 0.05 level of significance. What is the p-value? (c) What do you conclude? (d) Construct a 95% confidence interval. (e) Compare the results obtained in this problem with the results obtained in question 1.
The table presents data on LDL (Low-Density Lipoprotein) levels measured in mmol/l for 14 subjects who consumed two different types of dietary interventions: Corn Flakes and Oat Bran. Each subject's LDL level is recorded for both diet types. This comparison aims to illustrate the potential effects on LDL cholesterol, which is often referred to as "bad" cholesterol due to its association with increased risk of heart disease. 

Here is the data transcribed:

| Subject | Corn Flakes | Oat Bran |
|---------|-------------|----------|
| 1       | 4.61        | 3.84     |
| 2       | 6.42        | 5.57     |
| 3       | 5.40        | 5.85     |
| 4       | 4.54        | 4.80     |
| 5       | 3.98        | 3.68     |
| 6       | 3.82        | 2.96     |
| 7       | 5.01        | 4.41     |
| 8       | 4.34        | 3.72     |
| 9       | 3.80        | 3.49     |
| 10      | 4.56        | 3.84     |
| 11      | 5.35        | 5.26     |
| 12      | 3.89        | 3.73     |
| 13      | 2.25        | 1.84     |
| 14      | 4.24        | 4.14     |

This data can be utilized to analyze the effect of dietary choices on LDL cholesterol levels, potentially demonstrating the benefits of consuming Oat Bran over Corn Flakes for improving cardiovascular health.
Transcribed Image Text:The table presents data on LDL (Low-Density Lipoprotein) levels measured in mmol/l for 14 subjects who consumed two different types of dietary interventions: Corn Flakes and Oat Bran. Each subject's LDL level is recorded for both diet types. This comparison aims to illustrate the potential effects on LDL cholesterol, which is often referred to as "bad" cholesterol due to its association with increased risk of heart disease. Here is the data transcribed: | Subject | Corn Flakes | Oat Bran | |---------|-------------|----------| | 1 | 4.61 | 3.84 | | 2 | 6.42 | 5.57 | | 3 | 5.40 | 5.85 | | 4 | 4.54 | 4.80 | | 5 | 3.98 | 3.68 | | 6 | 3.82 | 2.96 | | 7 | 5.01 | 4.41 | | 8 | 4.34 | 3.72 | | 9 | 3.80 | 3.49 | | 10 | 4.56 | 3.84 | | 11 | 5.35 | 5.26 | | 12 | 3.89 | 3.73 | | 13 | 2.25 | 1.84 | | 14 | 4.24 | 4.14 | This data can be utilized to analyze the effect of dietary choices on LDL cholesterol levels, potentially demonstrating the benefits of consuming Oat Bran over Corn Flakes for improving cardiovascular health.
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