Question

Summary information on the heights of 64 bass and 42 tenor singers, all men, in the New York Choral Society is given. The vocal range of bass voice part is lower in pitch than the alto voice part. Use 1% level of significance to determine whether the population mean height of bass singers is greater than the population mean height of tenor singers.

Answer 1

Hello your question has some missing information below is the missing information

Sample mean and Sample standard deviation

Bass 70.99 and 2.52

Tenor 69.41 and 2.79

answer : We will reject H0

Explanation:

Determine whether the population mean height of bass singers > population mean height of tenor singers

n1 = 64 , n2 = 42

x1 ( mean ) = 70.99

x2( mean ) = 69.41

S1 ( std 1 ) = 2.52

S2 ( std 2 ) = 2.79

We will perform a two tailed test hence we will state the null and alternate hypothesis

H0 : μ1 > μ2

H1 : μ1 < μ2

significance level = 0.01

next calculate the test statistic

t = 2.96

attached below is the remaining part of the detailed solution