A software engineer at a company that replaces computers in schools with termina

Question

A software engineer at a company that replaces computers in schools with terminals connected to a server is testing a now server to see if mean download times are decreased with the new server. When he compares a random sample of 18 times to the previous standard he gets a t-statistic of - 16. Complete parts a) through e) below. A. The mean download time is 16 minutes. B The new mean download time is 1/16 the previous mean download time. C. The mean download time is 16 standard errors above the hypothesized mean. D The mean download tenets 16 standard errors below the hypothesized mean. E. The new mean download time is 16 times greater than the previous mean download time. b) Find the 0.001 lower critical value for a t-statistic with 17 df and state the conclusion about the test. The critical value is . (Round to three decimal places as needed.)

Explanation / Answer

Solution:-

Sample size = 18

T-statistic = -16

The mean download time is 16 standard error below the hypothesized mean.

The T test critical value calculation is based on t distribution table.

with df = 17 and = 0.001

The t-critical value for a left-tailed test, for a significance level of =0.001 is

tc = 3.646

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