Discovery of Cepheids in NGC 5253: Absolute Peak Brightness of SN IA 1895B and SN IA 1972E and the Value of H 0

Observations with the Hubble Space Telescope between 1993 May 31 and 1993 July 19 in 20 epochs in the F555W passband and five epochs in the F785LP passband have led to the discovery of 14 Cepheids in the Amorphous galaxy NGC 5253. The apparent V distance modulus is (m - M)_AV_ = 28.08 +/- 0.10 determined from the 12 Cepheids with normal amplitudes. The distance modulus using the F785LP data is consistent with the V value to within the errors. Five methods used to determine the internal reddening are consistent with zero differential reddening, accurate to a level of E(B - V) < 0.05 mag, over the region occupied by Cepheids and the two supernovae (SNe) produced by NGC 5253. The apparent magnitudes at maximum for the two SNe in NGC 5253 are adopted as B_max_ = 8.33 +/- 0.2 mag for SN 1895B, and B_max_ = 8.56 +/- 0.1 and V_max_ = 8.60 +/- 0.1 for SN 1972E which is a prototype SN of Type Ia. The apparent magnitude system used by Walker (1923) for SN 1895B has been corrected to the modern B scale and zero point to determine its adopted B_max_ value. The absolute magnitudes for the two SNe determined from these data are M_B_(max) = - 19.80 +/- 0.28 for SN 1895B and