A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 442 gram setting. It is believed that the machine is underfilling the bags. A 44 bag sample had a mean of 438 grams. Assume the population variance is known to be 576. A level of significance of 0.1 will be used. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.
H0: = 442 ,
Ha: < 442
Test statistics
z = -
/
/ sqrt(n)
= 438 - 442 / ( sqrt(576) / sqrt(44) )
= -1.11
This is test statistics value
p-value = P( Z < z)
= P( Z < -1.11)
= 0.1335
Since p-value > 0.1 significance level, we do not have sufficient evidence to reject H0.
We conclude at 0.1 level that we fail to support the claim.
Get Answers For Free
Most questions answered within 1 hours.