For the given problem the p - value is 0.0697.
What is standard deviation?
The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.
Given: Dean Halverson recently read that full-time college students study 20 hours each week.
She decides to do a study at her university to see if there is evidence that students study an average of more than 20 hours each week.
A random sample of 35 students were asked to keep a diary of their activities over a period of several weeks.
It was found that the average number of hours that the 35 students studied each week was 21.1 hours.
The sample standard deviation of 4.3 hours.
H0: μ = 20
H0: μ > 20
n = 35
X bar = 21.1
s = 4.3
Test statistics = t = (X bar - μ) / (s / √n)
= (21.1 - 20) / (4.3 / √35)
t = 1.5134
P value = df = n - 1 = 35 - 1 = 34
P([tex]t_3_4[/tex] > 1.5134) = 0.0697
Hence, the p - value is 0.0697.
To know more about standard deviation, click on the link
https://brainly.com/question/475676
#SPJ4
