In: Math
1. Indicate which type of t-test would be appropriate. You can choose between the one sample t-test, dependent samples t-test and independent samples t-test. Write down the null and alternative hypotheses.
(a) In a sample of 20 newborn Russian Blue kittens, the mean weight was 3 ounces with a standard deviation of 0.5 ounces. In a sample of 20 newborn Turkish Van kittens, the mean weight was 5 ounces with a standard deviation of 0.6 ounces. On average, are the birth weights of Russian Blue kittens different from those into Turkish Van kittens?
(b) 12 normal (“wild type”) and 13 cyclin d2 knockout mice (mutants) were placed in devices which recorded their locomotor activity. The mean and standard deviation of activity for the former group were 112 and 36, while those for the latter were 200 and 25. Do the two mouse genotypes differ in average amount of locomotor activity?
(c) A sample of 25 students from a certain school have a mean SAT score of 1200 points. Suppose the general population of test-takers has a mean of 1060 points and a standard deviation of 110 points. On average, do students from the school in question score higher than the general population?
(d) Mice used in research come in different strains (a bit like breeds of dog or cat). These can differ in characteristics such as the startle response, i.e. how forcefully the animal flinches when it hears a loud sudden noise. Some researchers wanted to find a mouse strain with a strong startle response as a basis for a line of mutants. They therefore compared the startle response in 10 mice of the C57BL/6J strain and 10 mice of the 129X1/SvJ strain.
(e) Amphetamine has been found in some cases to reduce the startle response of mice. Quinpirole is drug that acts on some of the same neurotransmitters as amphetamine but is more selective and has a different mechanism. Researchers wondered therefore whether quinpirole would reduce the startle response in mice. They therefore injected 10 mice with quinpirole and 10 mice with saline (as a control) and measured their startle response to loud noises.
(f) Imagine the same situation as (e) above, except that instead of injecting each mouse only once with either quinpirole or saline, all 20 mice are given both injections on separate days. For example, mouse #1 gets saline and has his startle response tested, then several days later receives quinpirole and his startle response is tested again.
(g) Now imagine the same situation as (e) above except that all 20 mice are tested once, with quinpirole, and their startle response is com- pared to the previously published population mean and standard deviation of startle responses for mice without quinpirole (this is not how you would do the experiment in real life).
a) independent sample t-test
b) independent sample t-test
c)one-sample t-test
d) independent sample t-test
e) independent sample t-test
f) dependent sample t-test
g) one-sample t-test