Please explain why in lecture test indicated as one-sided, when Ho : -4? thank you.

Hi Yaroslav!

Thanks for reaching out!

In this scenario, the null hypothesis states that the difference in mean performance between management and engineering students is exactly -4%. The alternative hypothesis claims that the difference is not -4%, without specifying the direction of the deviation. Therefore, we would examine both possibilities: whether the actual difference is significantly less than -4% or significantly more than -4%, making it a two-sided test.

Hope this helps.

Best,

Ivan