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=444, x overbarxequals=19.3 and sequals=11.1 Complete parts a and b.

Answer 1

Answer:

Test: $\mu$ < 20 with normal distⁿ

Hypothesis test:

H0:  $\mu \ge$ 20                         (Null Hypothesis, H₀ : $\mu$ = 20 is also correct)

H1: $\mu$ < 20                             (Alternative Hypothesis, also called H₁)

This is lower tailed test.

Since sample is large, sample standard deviation can be taken as an  approximation of population standard deviation.

x = 19.3

$\sigma$ = 11.1

n = 444

significance level, $\alpha$ = 0.05 (If no value is given, we take level of 0.05)

Test statistic $z* = \frac{x-\mu}{\sigma/\sqrt{n}}$

         

                         $= \frac{19.3-20}{11.1/\sqrt{444}}$

                       = - 1.33

The attached files contains additional information