26. Let u = 78. A sample of 26 provided a sample mean x = 77.8 and a sample standard deviation s = 2. Find P (x < 77.8). %3D a. 0.1 < P (x < 77.8) < 0.15 b. 0.15 < P (x < 77.8) < 0.2 c. 0.2 < P (ï < 77.8) < 0.25 d. 0.25 < P (x < 77.8)

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云
תוש
26. Let u = 78. A sample of 26 provided a sample mean i = 77.8 and a sample standard deviations = 2.
Find P (x < 77.8).
%3D
a. 0.1 < P (x < 77.8) < 0.15
b. 0.15 < P (x < 77.8) < 0.2
c. 0.2 < P (x < 77.8) < 0.25
d. 0.25 < P (x < 77.8)
6 -
27. Interpretation of left-tail probability (based on the t test statistic)
Refer to the left-tail probability P (x < 77.8) question above.
Let's assume that as researchers, we consider a probability smaller than 5% small. Since
P (x < 77.8) is
close to the assumption of u = 78. In other words, given that the population mean is 78, it is
highly likely that a sample mean this close to the population mean would occur by pure chance
than 5%, it is
to have obtained such a sample mean that
alone.
To put it another way, the occurrence of this sample mean of 77.8
cast(s) doubt on the
validity of the assumption of 77.8.
a.
smaller, surprising, does
b. larger, not surprising, does not
c. larger, surprising, does
d. smaller, not surprising, does not
80
In conducting a bunothecis
raceareher2
33.jpg
IMG 0882.jpg
MacBook Air
000
000
DD
Transcribed Image Text:云 תוש 26. Let u = 78. A sample of 26 provided a sample mean i = 77.8 and a sample standard deviations = 2. Find P (x < 77.8). %3D a. 0.1 < P (x < 77.8) < 0.15 b. 0.15 < P (x < 77.8) < 0.2 c. 0.2 < P (x < 77.8) < 0.25 d. 0.25 < P (x < 77.8) 6 - 27. Interpretation of left-tail probability (based on the t test statistic) Refer to the left-tail probability P (x < 77.8) question above. Let's assume that as researchers, we consider a probability smaller than 5% small. Since P (x < 77.8) is close to the assumption of u = 78. In other words, given that the population mean is 78, it is highly likely that a sample mean this close to the population mean would occur by pure chance than 5%, it is to have obtained such a sample mean that alone. To put it another way, the occurrence of this sample mean of 77.8 cast(s) doubt on the validity of the assumption of 77.8. a. smaller, surprising, does b. larger, not surprising, does not c. larger, surprising, does d. smaller, not surprising, does not 80 In conducting a bunothecis raceareher2 33.jpg IMG 0882.jpg MacBook Air 000 000 DD
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