Calculating and interpreting t test statistic:(a) Let u = 78. A sample of size 26 provided asample mean x = 77.8 and a sample standarddeviation s = 2. Find P (x < 77.8).(b) Assume researchers regard a probabilitysmaller than 5% small. Since P(x < 77.8) isthan 5%, it isto haveobtained such a sample mean. In other words,provided the population mean of 78, a samplemean this close to the population mean ishighly likely to occur by pure chance alone. Toput it in another way, the fact that this samplemean of 77.8 occurredcast doubt onthe validity of the assumption of 77.8.a. smaller, surprising, doesb. smaller, not surprising, does notc. larger, surprising, doesd. larger, not surprising, does not

The formula for t test statistic is, t=x¯-μsnn is sample sizes is sample standard deviationμ is…

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

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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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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