Question

Question 1

1. A sample of the birth weight for 25 newborn male babies was taken from babies whose mother took prenatal vitamin supplements. The results of the study showed an average birth weight of 3.953 kg and a standard deviation of 0.552 kg. The claim is that taking vitamin supplements increase the baby’s birth weight. The mean birth weight for all male babies is 3.58 kg

   Use this information to answer this question and the next five (5) questions.

   The 95% confidence interval for the true population mean of those infants whose mother took prenatal vitamins is (lower confidence limit bound, upper confidence limit bound ).

QUESTION 2

1. What can you conclude by comparing the 95% Confidence Interval and the mean weight of all male babies (3.58 kg)? Justify your answer.

QUESTION 3

1. In performing a formal Test of Hypothesis to determine if the taking of prenatal vitamins will increase the birth weight of babies (using the above summary data), the formal hypothesis for this test would be:

   		Ho: µ = 3.58; Ha: µ ≠ 3.58
   		Ho: µ > 3.58; Ha: µ = 3.58
   		Ho: µ = 3.953; Ha: µ > 3.58
   		Ho: µ = 3.58; Ha: µ > 3.58

QUESTION 4

1. Using the infant birth weight information from above, find the appropriate critical student t-value (t-critical) for performing the test of hypothesis.

QUESTION 5

1. Perform the 1-sample t-test to obtain the t-calc for the test of the hypothesis.

QUESTION 6

1. In comparing t-critical and t-calc, state your conclusion for this test of hypothesis. Justify your answer.

QUESTION 7

1. In a study of 420,095 Danish cell phone users, 135 subjects developed cancer of the brain or nervous system (based on data from the Journal of the National Cancer Institute as reported by US Today). The claim is that cell phone users develop cancer of the brain or nervous system at a rate that is greater than the rate of 0.034% (0.00034) for people that do not use cell phones.

   Use this information to answer this question and the next five (5) questions.

   The 95% confidence interval for the true population proportion of cell phone users who develop brain or nervous system cancers is (lower confidence limit bound , upper confidence limit bound ).

QUESTION 8

1. What can you conclude by comparing the 95% Confidence Interval and the rate of cancer of the brain or nervous system for non-cell phone users? Justify your answer.

QUESTION 9

1. In performing a formal test of hypothesis to determine if the use of cell phones increases the rate development of the brain or nervous system cancers, the form hypotheses are:

   		Ho: Pu = 0.00034; Ha: Pu ≠ 0.00034
   		Ho: Pu = 0.00034; Ha: Pu > 0.00034
   		Ho: Pu > 0.00034; Ha: µ < 0.00034
   		Ho: Pa = 0.00034; Ha: Pa ≠ 0.00034

QUESTION 10

1. Using the cell phone brain and nervous system cancer rate information from above, find the appropriate critical standard normal z-value for performing the test of hypothesis.

QUESTION 11

1. Perform the formal test of hypothesis and obtain the z-calc value to see if using cell phones increases the rate of the development of the brain or nervous system cancers using the information from above.

QUESTION 12

1. Compare z-critical and z-calc and draw the appropriate conclusion for this test of hypothesis. Justify your answer.

Answer 1

1:

2;

Since confidence interval does not contain 3.58 kg so we cannot conclude that the mean weight of all male babies (3.58 kg)

3:

4:

5:

6:

Conclusion: There is evidence to calculate that the taking of prenatal vitamins will increase the birth weight of babies.

Following is the screen shot of calculator:

Following is the output;

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