Respuesta :
Answer:
Null hypothesis:[tex]\mu \geq 10.1[/tex]
Alternative hypothesis:[tex]\mu < 10.1[/tex]
Or equivalently :
Null hypothesis:[tex]\mu = 10.1[/tex]
Alternative hypothesis:[tex]\mu < 10.1[/tex]
Step-by-step explanation:
Data given and notation
[tex]\bar X=9.6[/tex] represent the sample mean
[tex]s[/tex] represent the sample standard deviation for the sample
[tex]n=35[/tex] sample size
[tex]\mu_o =10.1[/tex] represent the value that we want to test
[tex]\alpha=[/tex] represent the significance level for the hypothesis test.
t 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 true mean is lower than 10.1 ft (alternative hypothesis) , then the system of hypothesis would be:
Null hypothesis:[tex]\mu \geq 10.1[/tex]
Alternative hypothesis:[tex]\mu < 10.1[/tex]
Or equivalently :
Null hypothesis:[tex]\mu = 10.1[/tex]
Alternative hypothesis:[tex]\mu < 10.1[/tex]
