Question

The following SPSS output is to test that the average life of bulbs is 1060 hours.

One-Sample Test
	Test Value = 1060 hours
	t	Degree freedom	Sig. (2-tailed)	Mean Difference	95% Confidence Interval of the Difference
					Lower	Upper
hours	1.963	10	.078	67.273	-9.07	143.61

(a) How many observations are there for this output?

(b) Set up the hypotheses to test the average for this study.

(c) Select the significance level for this study.

(d) What can you conclude about this hypothesis?

(e) What is the value of t-statistic for this study?

(f) Why do you use the t statistic for this study?

Answer 1

Solution:

(a) How many observations are there for this output?

Answer: The number of observations for this output is:

(b) Set up the hypotheses to test the average for this study.

Answer: The null and alternative hypotheses for this study is:

(c) Select the significance level for this study.

Answer: The significance level for this study is:

(d) What can you conclude about this hypothesis?

Answer: Since the p-value, is greater than the significance level, we, therefore, fail to reject the null hypothesis and conclude that there is not sufficient evidence to warrant the rejection of the claim that the average life of bulbs is 1060 hours.

(e) What is the value of t-statistic for this study?

Answer: The value of t-statistic for this study is:

(f) Why do you use the t statistic for this study?

Answer: We use the t-statistic for this study because the population standard deviation is unknown and the sample size is less than 30.