Question

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 445 gram setting. It is believed that the machine is underfilling the bags. A 12 bag sample had a mean of 442 grams with a standard deviation of 20. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. State the null and alternative hypotheses.

Answer 1

Answer:

The  null hypothesis is  $H_o : \mu = 445$

The  alternative hypothesis  $H_a : \mu < 445$  (This is the original claim[ It is believed that the machine is under filling the bags] )

Step-by-step explanation:

From the question we are told that  

    The population mean is   $\mu = 445 \ g$

    The  sample size is  $n = 12$

    The  sample mean is  $\= x = 442 \ g$

     The  standard deviation is  $\sigma = 20$

     The  level of significance is  $\alpha = 0.05$

The  null hypothesis is  $H_o : \mu = 445$

The  alternative hypothesis  $H_a : \mu < 445$  (This is the original claim )