Calculating and interpreting t test statistic: (a) Let µ = 78. A sample of size 26 provided a sample mean x = 77.8 and a sample standard deviation s = 2. Find P (x < 77.8). (b) Assume researchers regard a probability smaller than 5% small. Since P (x < 77.8) is than 5%, it is to have obtained such a sample mean In other words
Calculating and interpreting t test statistic: (a) Let µ = 78. A sample of size 26 provided a sample mean x = 77.8 and a sample standard deviation s = 2. Find P (x < 77.8). (b) Assume researchers regard a probability smaller than 5% small. Since P (x < 77.8) is than 5%, it is to have obtained such a sample mean In other words
MATLAB: An Introduction with Applications
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
Transcribed Image Text:Calculating and interpreting t test statistic:
(a) Let u = 78. A sample of size 26 provided a
sample mean x = 77.8 and a sample standard
deviation s = 2. Find P (x < 77.8).
(b) Assume researchers regard a probability
smaller than 5% small. Since P(x < 77.8) is
than 5%, it is
to have
obtained such a sample mean. In other words,
provided the population mean of 78, a sample
mean this close to the population mean is
highly likely to occur by pure chance alone. To
put it in another way, the fact that this sample
mean of 77.8 occurred
cast doubt on
the validity of the assumption of 77.8.
a. smaller, surprising, does
b. smaller, not surprising, does not
c. larger, surprising, does
d. larger, not surprising, does not
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