Answer:
a
The null hypothesis is
The alternative hypothesis
b
c
The decision rule is
Fail to reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The value given is
S/N
1 7 5
2 4 3
3 8 7
4 8 8
5 7 9
6 7 5
7 6 5
Generally the sample mean for the first sample is mathematically represented as
=>
=>
Generally the sample mean for the second sample is mathematically represented as
=>
=>
Generally the sample standard deviation for the first sample is mathematically represented as
=>
=>
Generally the sample standard deviation for the second sample is mathematically represented as
=>
=>
Generally the pooled standard deviation is
=>
=>
The null hypothesis is
The alternative hypothesis
Generally the test statistics is mathematically represented as
=>
=>
Generally the degree of freedom is mathematically represented as
=>
=>
From the t distribution table the probability of at a degree of freedom of
is
Generally the p-value is
From the values obtained we see that hence
The decision rule is
Fail to reject the null hypothesis