Answer :
Answer:
[tex]\bar X=5.4[/tex] represent the sample mean or the statistic calculated from the sample
This value is calculated from the following formula:
[tex] \bar X =\frac{\sum_{i=1}^n X_i}{n}[/tex]
[tex]\sigma[/tex] represent the population standard deviation for the sample
[tex]n=29[/tex] sample size
[tex]\mu_o =6.8[/tex] represent the value that we want to test
Step-by-step explanation:
Data given and notation
[tex]\bar X=5.4[/tex] represent the sample mean or the statistic calculated from the sample
This value is calculated from the following formula:
[tex] \bar X =\frac{\sum_{i=1}^n X_i}{n}[/tex]
[tex]\sigma[/tex] represent the population standard deviation for the sample
[tex]n=29[/tex] sample size
[tex]\mu_o =6.8[/tex] represent the value that we want to test
[tex]\alpha[/tex] represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
[tex]p_v[/tex] represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is less than 6.8, the system of hypothesis would be:
Null hypothesis:[tex]\mu \geq 6.8[/tex]
Alternative hypothesis:[tex]\mu < 6.8[/tex]