Complete the 4 questions below, writing (or typing) your answers in the appropriate spaces on pages 2-5. Use a 5% level of significance unless otherwise noted. Do not use SAS or any other software for...

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Complete the 4 questions below, writing (or typing) your answers in the appropriate spaces on pages 2-5. Use a 5% level of significance unless otherwise noted. Do not use SAS or any other software for computations/mathematical/statistical work. You may use a hand-held calculator, of course! In a random sample of ten diabetic women, the sample mean diastolic blood pressure (dbp) is 84 mmHg, with sample standard deviation 9.1 mmHg. Test whether the true average dbp for female diabetics is greater than 74.4 mmHg (which is thought to be the true mean dbp of the general population of females). You may assume that diastolic blood pressures of diabetic women are normally distributed. A nutritionist thinks the average person with an income below the poverty level gets less than the recommended daily allowance (RDA) of 800 mg of calcium. To test her conjecture, she records the daily intake of calcium for a random sample of 40 people with incomes below the poverty level. She calculates the sample mean intake of calcium to be 747.3 mg, and the sample standard deviation to be 262.2 mg. Do the data provide sufficient evidence to conclude that the true mean calcium intake of people with incomes below the poverty level is less than the RDA of 800 mg? Repeat problem 1 assuming that the population standard deviation is known to be 9.1 mmHg. Repeat problem 2 assuming that the population standard deviation is known to be 262.2 mmHg. 1 Q.1 Hypotheses: ______________ parameter(s) used in the hypotheses: _____________ ______________ __________________________________________ Name of the hypothesis test (e.g. one-sample z, one-sample t, etc.): _____________________________ Justification for using this particular test: _____________________________________________________________________________ ______________________________________________________________________________ Test Statistic Computation: Distribution of The Test Statistic Under H0: P-value Computation (show all details of the computation...credit may not be given if you do not!) Decision (Circle One): Reject H0 at α= Fail to Reject H0 at α= Conclusion: = 2 Q.2 Hypotheses: ______________ parameter(s) used in the hypotheses: _____________ ______________ __________________________________________ Name of the hypothesis test (e.g. one-sample z, one-sample t, etc.): _____________________________ Justification for using this particular test: _____________________________________________________________________________ ______________________________________________________________________________ Test Statistic Computation: Distribution of The Test Statistic Under H0: P-value Computation (show all details of the computation...credit may not be given if you do not!) Decision (Circle One): Reject H0 at α= Fail to Reject H0 at α= Conclusion: = 3 Q.3 Hypotheses: ______________ parameter(s) used in the hypotheses: _____________ ______________ __________________________________________ Name of the hypothesis test (e.g. one-sample z, one-sample t, etc.): _____________________________ Justification for using this particular test: _____________________________________________________________________________ ______________________________________________________________________________ Test Statistic Computation: Distribution of The Test Statistic Under H0: P-value Computation (show all details of the computation...credit may not be given if you do not!) Decision (Circle One): Reject H0 at α= Fail to Reject H0 at α= Conclusion: = 4 Q.4 Hypotheses: ______________ parameter(s) used in the hypotheses: _____________ ______________ __________________________________________ Name of the hypothesis test (e.g. one-sample z, one-sample t, etc.): _____________________________ Justification for using this particular test: _____________________________________________________________________________ ______________________________________________________________________________ Test Statistic Computation: Distribution of The Test Statistic Under H0: P-value Computation (show all details of the computation...credit may not be given if you do not!) Decision (Circle One): Reject H0 at α= Fail to Reject H0 at α= Conclusion: = 5
Answered Same DayOct 21, 2021

Answer To: Complete the 4 questions below, writing (or typing) your answers in the appropriate spaces on pages...

Suraj answered on Oct 21 2021
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Complete the 4 questions below, writing (or typing) your answers in the appropriate spaces on pages 2-5. Use a 5% level of significance unless otherwise noted. Do not use SAS or any other software for computations/mathematical/statistical work. You may use a hand-held calculator, of course!
In a random sample of ten diabetic women, the sample mean diastolic blood pressure (dbp) is 84 mmHg, with sample standard deviation 9.1 mmHg. Test whether the true average dbp for female diabetics is greater than 74.4 mmHg (which is thought to be the true mean dbp of the general population of females). You may assume that diastolic blood pressures of diabetic women are normally distributed.
A nutritionist thinks the average person with an income below the poverty level gets less than the recommended daily allowance (RDA) of 800 mg of calcium. To test her conjecture, she records the daily intake of calcium for a random sample of 40 people with incomes below the poverty level. She calculates the sample mean intake of calcium to be 747.3 mg, and the sample standard deviation to be 262.2 mg. Do the data provide sufficient evidence to conclude that the true mean calcium intake of people with incomes below the poverty level is less than the RDA of 800 mg?
Repeat problem 1 assuming that the population standard deviation is known to be 9.1 mmHg. Repeat problem 2 assuming that the population standard deviation is known to be 262.2 mmHg.
1
Q.1
Hypotheses: Population mean parameter(s) used in the hypotheses:
Name of the hypothesis test. (e.g., one-sample z, one-sample t, etc.):
One -sample t-test.
Justification for using this particular test:
As the sample standard deviation is given and also the sample size (n = 10) is small. So, this is the main reason to use...
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