Question

Assignment 4: Problem 17 Previous Problem Problem List Next Problem (1 point) The following data represents a random sample of birth weignts (in kgs) of male babies born to mothers on a special vitamin supplement. 3.73 3.02 (a) Do the data follow a normal distribution? Report the P-value of the normality test: (b) Do the data support the claim that the mean birth weight of male babies that have been subjected to the vitamin supplement is at least 3.39 kgs? Use the p-value approach, and regulate the probability of committing Type 1 error to 5% (a = 0.05). !!! The p-value is: Does this support the claim Use three decimals. ? Note: You can earn partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 0 times. You have 5 attempts remaining.

Answer 1

Answer := From the given information, we have @: Mean of data = 3.767! Standard deviation of data = 0.6232 > Number of observations that lie within 1 Standard on either side of the mean deviation Mange = 3.7671.+ 1 X 0.62 32 -3.14 - 4.39]- number of observa fions in this range : 10. percentage -71%. -> Number of observations that lie within & Standard deviation on either side of the mean Range - 3.7671 + 2 x 0.6232 5.01 - number of observations in this range = 13, percentage = 93%. > Number of observations that lie within 3 standard deviation on either side of the mean Range - 3.7671 – 3 x0.6232 -[1.90 - 5.647 -number of observations in this ranges 14, Percentage - 100% The percentage approximately follows the 68-95-99.7 percent rule, so data follows

la normal distribution. Another test that can be used to test normality is Shapiro Will Test. Wilk Test. With a threshold of p 0.01, the test result is 0.8249 Ho is not rejected and the data seems normal. Significance level = 0.05 In this case Ho a mean z 3.39 Alternate He Mean <3.39 T - statistics (Since population Standard deviation is not known's (3.393.767) / (0.62 32 / szat (14)) - 2.264) At 5% significance level (0.05) p value is 0.9793. Since P >0.05, Therefore do not reject Null Hypothesi' s. So the claims that mean birth weight of babies that have been supplemented to vitamin supplement is at least 3. 39 kgs is valid