Question

Consider testing Upper H 0 : mu equals 20H0: μ=20 against Upper H Subscript a Baseline : mu less than 20Ha: μ<20 where muμ is the mean number of latex gloves used per week by all hospital​employees, based on the summary statistics nequals=46, x overbarxequals=19.3 and sequals=11.3 Complete parts a and b.

Answer 1

Solution :

= 20

=19.3

S =11.3

n = 46

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :    = 20

Ha : < 20

Test statistic = t

= ( - ) / S / n

= (19.3 - 20 ) / 11.3 / 46

= -0.420

Test statistic = t =-0.420

P-value =0.3382