Answer:
The P-value is 0.0234.
Step-by-step explanation:
We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.
Let = population mean.
So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}
Alternate Hypothesis, : > 100 {means that the population mean is more than 100}
The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;
T.S. = ~
where, = sample mean = 98
s = sample standard deviation = 20
n = sample size = 400
So, the test statistics = ~
= -2
The value of t-test statistics is -2.
Now, the P-value of the test statistics is given by;
P( < -2) = 0.0234 {using the t-table}
Answer:
8000 (c)
Step-by-step explanation:
20x20x20=8000
Answer: C Its a non-perfect Square.
Answer:
Step-by-step explanation:
Given that evolution theory hypothesizes that people should spontaneously follow a 24-hour cycle of sleeping and wakingdash–even if they are not exposed to the usual pattern of sunlight.
Sample size n = 8
df = 8- 1=7
Since population std deviation is not known, and sample size is small we can use only t test

(two tailed test at 5% level of significance)
24
28
24
22
25
26
26
25
mean 25
sd 3.142857143
se 1.111167799
Test statistic = Mean diff/se = 1.595
p = 0.1546
since p >0.05, accept null hypothesis.
There is no evidence to prove that the steady cycle is different from 24 hours.
I can’t see the question b