Question

A random sample of 100 two-month old babies is obtained, and the mean head circumference is found to be 40.6 cm. Assume that the population standard deviation is known to be 1.6 cm. Using a significance level of 0.05, test the claim that the mean head circumference of all two-month old babies is not equal to 40.0cm.


a.) State the null and alternative hypothesis.
H0:

H1:

b.) State the appropriate test statistic.

c.) Determine the value of the test statistic.  (Round to two decimal places.)

d.) Determine the P-value.  (Round to four decimal places.)

e.) Determine the conclusion of the test.

• At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
• At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
• At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
• At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

Answer 1

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