See the formula and as screenshot showing test results below. I have used S1, S2, .. for the status column names and H1, H2.. for the Hour column names. You would need to replace them with your actual column names.
Also, status selection should be sequential for this to work. If it breaks, the total would be calculated to zero (0)
=IF(AND(AND(AND(AND(AND(AND(AND(AND(AND(S1="complete",S2<>"complete"),S3<>"complete"),S4<>"complete"),S5<>"complete"),S6<>"complete"),S7<>"complete"),S8<>"complete"),S9<>"complete"),S10<>"complete"),H1,IF(AND(AND(AND(AND(AND(AND(AND(AND(AND(S1="complete",S2="complete"),S3<>"complete"),S4<>"complete"),S5<>"complete"),S6<>"complete"),S7<>"complete"),S8<>"complete"),S9<>"complete"),S10<>"complete"),H1+H2,IF(AND(AND(AND(AND(AND(AND(AND(AND(AND(S1="complete",S2="complete"),S3="complete"),S4<>"complete"),S5<>"complete"),S6<>"complete"),S7<>"complete"),S8<>"complete"),S9<>"complete"),S10<>"complete"),H1+H2+H3,IF(AND(AND(AND(AND(AND(AND(AND(AND(AND(S1="complete",S2="complete"),S3="complete"),S4="complete"),S5<>"complete"),S6<>"complete"),S7<>"complete"),S8<>"complete"),S9<>"complete"),S10<>"complete"),H1+H2+H3+H4,IF(AND(AND(AND(AND(AND(AND(AND(AND(AND(S1="complete",S2="complete"),S3="complete"),S4="complete"),S5="complete"),S6<>"complete"),S7<>"complete"),S8<>"complete"),S9<>"complete"),S10<>"complete"),H1+H2+H3+H4+H5,IF(AND(AND(AND(AND(AND(AND(AND(AND(AND(S1="complete",S2="complete"),S3="complete"),S4="complete"),S5="complete"),S6="complete"),S7<>"complete"),S8<>"complete"),S9<>"complete"),S10<>"complete"),H1+H2+H3+H4+H5+H6,IF(AND(AND(AND(AND(AND(AND(AND(AND(AND(S1="complete",S2="complete"),S3="complete"),S4="complete"),S5="complete"),S6="complete"),S7="complete"),S8<>"complete"),S9<>"complete"),S10<>"complete"),H1+H2+H3+H4+H5+H6+H7,IF(AND(AND(AND(AND(AND(AND(AND(AND(AND(S1="complete",S2="complete"),S3="complete"),S4="complete"),S5="complete"),S6="complete"),S7="complete"),S8="complete"),S9<>"complete"),S10<>"complete"),H1+H2+H3+H4+H5+H6+H7+H8,IF(AND(AND(AND(AND(AND(AND(AND(AND(AND(S1="complete",S2="complete"),S3="complete"),S4="complete"),S5="complete"),S6="complete"),S7="complete"),S8="complete"),S9="complete"),S10<>"complete"),H1+H2+H3+H4+H5+H6+H7+H8+H9,IF(AND(AND(AND(AND(AND(AND(AND(AND(AND(S1="complete",S2="complete"),S3="complete"),S4="complete"),S5="complete"),S6="complete"),S7="complete"),S8="complete"),S9="complete"),S10="complete"),H1+H2+H3+H4+H5+H6+H7+H8+H9+H10,0))))))))))