MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Student's t Distribution
0.4
Step 1: Enter the number of degrees
of freedom.
0.3+
Step 2: Select one-tailed or two-tailed.
O One-tailed
O Two-tailed
0.2+
Step 3: Enter the critical value(s).
(Round to 3 decimal places.)
0.1+
Step 4: Enter the test statistic.
(Round to 3 decimal places.)
3.
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Transcribed Image Text:Student's t Distribution 0.4 Step 1: Enter the number of degrees of freedom. 0.3+ Step 2: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.2+ Step 3: Enter the critical value(s). (Round to 3 decimal places.) 0.1+ Step 4: Enter the test statistic. (Round to 3 decimal places.) 3.
Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that
the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1150 Gy (grays). (For comparison, humans cannot
withstand more than 10 Gy.) A random sample of 25 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample
mean of 1133 Gy, with a sample standard deviation of 62 Gy. Assume that the population of amounts of gamma radiation needed to sterilize a colony of
tardigrades is approximately normally distributed.
Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support that u, the mean amount
of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1150 Gy.
(a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test.
H: 1
H: ]
O=D0
ローロ
(b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test.
In o25 is the value that cuts off an area of 0.025 in the right tail.
Tho -
of the t
-in ai,On bu ±
expand button
Transcribed Image Text:Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1150 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A random sample of 25 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1133 Gy, with a sample standard deviation of 62 Gy. Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support that u, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1150 Gy. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: 1 H: ] O=D0 ローロ (b) Perform a hypothesis test. The test statistic has a t distribution (so the test is a "t test"). Here is some other information to help you with your test. In o25 is the value that cuts off an area of 0.025 in the right tail. Tho - of the t -in ai,On bu ±
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