Respuesta :
Answer:
The t-value is ±2.626.
Step-by-step explanation:
An independent sample t-test will be performed to determine whether there is a difference between the average time spent reading each issue of the campus newspaper by finance majors and management majors.
The hypothesis can be defined as follows:
H₀: There is no difference between the two means, i.e. [tex]\mu_{1}-\mu_{2}=0[/tex]
Hₐ: There is no difference between the two means, i.e. [tex]\mu_{1}-\mu_{2}\neq0[/tex]
The test statistic is:
[tex]t=\frac{\bar x_{1}-\bar x_{2}}{S_{p}\times\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}}[/tex]
The degrees of freedom is:
[tex]df=n_{1}+n_{2}-2\\=48+40-2\\=86[/tex]
The critical value of t is:
[tex]t_{\alpha /2, (n_{1}-n_{2}-2)}=t_{0.01/2, 86}=\pm2.626[/tex]
*Use a t-table.
**Use the next higher degrees of freedom if 86 is not available.
