The heights of adult females are approximately normally distributed, with an estimated mean of 64.8 inches and an estimated standard deviation of 2.67 . Some researchers hypothesized that the actual standard deviation, , of heights of adult females is greater than 2.67 . These researchers chose a random sample of 16 adult females. The mean height of this sample was 64.9 inches, and the standard deviation was 3.65 . Is there enough evidence to conclude, at the .05 level of significance, that the standard deviation of adult female heights is greater than 2.67 ?Perform a one-tailed test.
Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
The null hypothesis:
The alternative hypothesis:
The type of test-statistic:
The value of the test-statistic:(Round at least 3 decimal places)
The critical value at the .05 level of significance:(Round to atleast 3 decimal places)
Can we support the claim that the st dev. of heights of adult females is greater than 2.67?