Question

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 446 gram setting. based on a 21 bag sample where the mean is 442 grams and the standard deviation is 13, is there sufficient evidence at the 0.025 level that the bags are underfilled? assume the population distribution is approximately normal. final the value of the test statisc. round your anser to three decimal places.

Answer 1

Result:

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 446 gram setting. based on a 21 bag sample where the mean is 442 grams and the standard deviation is 13, is there sufficient evidence at the 0.025 level that the bags are underfilled? assume the population distribution is approximately normal. final the value of the test statisc. round your anser to three decimal places.

Single sample t test

Ho: µ = 446   H₁: µ < 446

Lower tail test

= -1.41                

Table value of t with 20 DF at 0.025 level = -2.0860

Rejection Region: Reject Ho if t < -2.0860

Calculated t = -1.41 not in the rejection region

The null hypothesis is not rejected.

There is not sufficient evidence at the 0.025 level that the bags are under filled.

t Test for Hypothesis of the Mean
Data
Null Hypothesis                m=	446
Level of Significance	0.025
Sample Size	21
Sample Mean	442
Sample Standard Deviation	13
Intermediate Calculations
Standard Error of the Mean	2.8368
Degrees of Freedom	20
t Test Statistic	-1.4100
Lower-Tail Test
Lower Critical Value	-2.0860
p-Value	0.0869
Do not reject the null hypothesis