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Foods that quickly increase the blood glucose are said to have a high index.

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Foods that quickly increase the blood glucose are said to have a high index.

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Glycemic

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Food that are high in resistant starch have a low glycemic index (GI) and are beneficial for humanhealth, particularly for those with diabetes. A recent study conducted a randomised double-blindedcontrolled trial to investigate the effectiveness of a type of low-GI rice on the postprandial glucoselevels of diabetic patients, compared to an ordinary โ€œcontrolโ€ rice. Note that โ€œeffectiveโ€ means alower increase in postprandial glucose level compared to the control rice.The 73 diabetic patients who consented to the study were randomly assigned into two groups (GroupsA and B). Their blood glucose was measured immediately prior to and 30 minutes after consuminga prepared meal, comprising low-GI rice for Group A and control rice for Group B. The increase inpostprandial glucose level (i.e., postprandial - preprandial) was recorded. One week later, the sameprocedure was repeated, but with Group A given the control rice and Group B given the low-GI rice.The data is given in the file Rice.csv, available on Blackboard.Handwrite your answers to the following questions. Then scan, photograph or similar, combine intoa single pdf file and upload to the link named Quiz 7 - written questions. Please name your file in theformat: LastName_FirstName/StudentNumber_STAT1301_Quiz7.pdf. If you use R to performcalculations, please append your code at the end of the pdf file.(a) [1 mark] Should the data be analysed as a paired data or two independent samples? Give areason for your answer.(b) [4 marks] Perform an appropriate t-test to test the claim that the low-GI rice is more effectivethan an ordinary rice. Use a 0.05 significance level. Report the null and alternative hypotheses, teststatistic, the P-value, a statistical conclusion, and a conclusion in context.(c) [1 mark] What are the assumptions for the test in part (b)?Consider the following setting of a paired t-test. Let ๐‘‹๐‘– โˆผ ๐‘–๐‘–๐‘‘ ๐‘(๐œ‡๐‘‹, ๐œŽ๐‘‹2) denote the โ€œbeforeโ€measurements and ๐‘Œ๐‘– โˆผ ๐‘–๐‘–๐‘‘ ๐‘(๐œ‡๐‘Œ, ๐œŽ๐‘Œ2) denote the โ€œafterโ€ measurements, where ๐‘– = 1, 2, โ€ฆ ๐‘›.Suppose that Cor(๐‘‹๐‘–, ๐‘Œ๐‘–) = ๐œŒ. Define the difference variables ๐ท๐‘– = ๐‘‹๐‘– โˆ’ ๐‘Œ๐‘–.(d) [2 marks] Let ๐ทฬ… = 1๐‘› โˆ‘ ๐ท๐‘–๐‘›๐‘–=1 . Show that the variance of ๐ทฬ… is Var(๐ทฬ… ) = ๐œŽ๐‘‹2 +๐œŽ๐‘Œ2โˆ’2๐œŽ๐‘‹๐œŽ๐‘Œ๐œŒ๐‘› .(e) [1 mark] Show that if the samples ๐‘‹๐‘– and ๐‘Œ๐‘– were independent then Var(๐‘‹ฬ… โˆ’ ๐‘Œฬ… ) = ๐œŽ๐‘‹2 +๐œŽ๐‘Œ2๐‘› .(f) [1 mark] Based on parts (d) and (e), and consider testing ๐ป0: ๐œ‡๐‘‹ โˆ’ ๐œ‡๐‘Œ = 0, explain why the pairedt-test is preferred over the two-sample (independent) t-test when ๐œŒ > 0.Group Week1 Week2A 3.2 4.6A 1.9 4.2A -0.2 2.1A 2.2 5.2A 4.5 3A 2.9 2.6A 1.9 2.2A 2.9 3.3A 4.2 2.9A 4.1 4.4A 4.5 2.8A 2.3 1.2A 3.8 1.6A 1.9 0.9A 2.7 2.4A 2.6 2.8A 3.4 1A 2.3 1.3A 3.1 4.9A 3.2 4.4A 1.4 3.7A 2.3 1.1A 3.3 3.4A 4.6 3.6A 1.1 2.2A 3.6 3.8A 1 3.3A 2 3.6A 3.6 4.9A 1.3 2.9A 2.6 1.8A 2.6 0.4A 0.5 3A 3.4 4.2A 4.6 5.5A 2.7 4.6A 3.4 4.7B 1.1 3.7B 3.4 3.3B 1.1 2.3B 3 2.9B 3.7 1.4B 4.4 3.2B 4 6.6B 2.8 1.1B 1 3.4B 4.5 3.8B 2.8 2.6B 2.4 2.7B 1.1 4.5B 4.1 3B 1.2 2.3B 4.4 4.1B 2.9 4.2B 3.3 2.9B 5.8 2B 2.6 2.9B 1.7 3.9B 5.2 2.2B 2.1 -0.2B 2 3.4B 5.3 3.7B 5.5 3.1B 3.4 2.5B 0.7 0.1B 1.9 1B 1.8 4.2B 2.7 1.2B 3.2 2.7B 1.4 1B 5 2.3B 3.4 0.6B 4.5 1.4

If fasting blood glucose levels are 126 mg/dl or higher on two or more tests, an individual may likely have diabetes.ย ็ญ”ๆกˆ้€‰้กน็ป„TrueFalse

Which of the following foods would cause a rapid spike in insulin production?Multiple Choicean applea baked potatoa bowl of oatmeala candy bar

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