Question

The company produces Pollock portion in their facility bagged and labeled as ‘1 lb’. We have the following random weights sampled during weight test:

1.06, 1.02,0.97, 0.98, 1.02, 0.98, 1.10, 1.00, 1.02,1.05, 1.03, 1.03.

1. Describe the null and research hypotheses.

2. Compute an appropriate estimate and its standard error

3. Find a confidence interval.

4.Test the hypotheses.

5. Interpret and explain your result.

Answer 1

1. Describe the null and research hypotheses.

The hypothesis being tested is:

H0: µ = 1

Ha: µ ≠ 1

2. Compute an appropriate estimate and its standard error

1.02	mean Data
0.04	std. dev.
0.01	std. error

3. Find a confidence interval.

1.00	confidence interval 95.% lower
1.05	confidence interval 95.% upper
0.02	margin of error

4.Test the hypotheses.

1.00	hypothesized value
1.02	mean Data
0.04	std. dev.
0.01	std. error
12	n
11	df
2.021	t
.0683	p-value (two-tailed)

5. Interpret and explain your result.

The p-value is 0.0683.

Since the p-value (0.0683) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we can conclude that µ = 1.