Answer:
z ≈ 1.48
Explanation:
A suitable calculator requires only the "work" of data entry. For a TI-83, you can find the result from ...
invNorm(.06945,0,1,RIGHT-tail) = 1.479899759
The z-value is about 1.48.
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Additional comment
My iOS TI-83/84 "work-alike" app reportedly gives more accurate results than an actual TI-83 calculator. YMMV