Question

Data containing n=130 observations of new born body temperatures produced a mean body temperature of 98.249° F. If we know that the standard deviation of body temperature varies by .733° determine if there is evidence to suggest that new born babies have a body temperature different then the adult average of 98.6° F. Use an alpha level of .01

1) State the hypothesis: Ho:    Ha: (do not put spaces in these, use the symbols above to copy and paste as needed)

2) Test statistic: Which test are you using?

Compute the test statistic:

3) P-value:

4) Conclusion: P-value  α=.01

We  (reject/fail to reject) the null hypothesis that states that new born babies temperatures .

We  (do / do not) have statistically significant evidence at the  level that .

Answer 1

1) Ho: = 98.6

Ha: 98.6

Null hypothesis states that new born babies have body temperature same as adult i.e. 98.6

2) Test statistics

Assuming that the data is normally distributed. Since the population SD is given we will use z statistics.

n =130

= 98.249

= 0.733

zc​=−2.58 and zc​=2.58 at = 0.01 for two tailed test.

z statistics falls in the rejection area, hence we reject the Null hypothesis.

3) P value P (z = -5.460)

P ( Z<−5.460 )=1−P ( Z<5.46 )=1−1=0

4) SInce P value (0) is less than level of significance ( = 0.01), we reject the Null hypothesis.

We  reject the null hypothesis that states that new born babies temperatures .

We do have statistically significant evidence at the  level that .