Question

The following table shows the weights​ (in pounds) and the number of hours slept in a day by a random sample of infants. Test the claim that

Mnot equals≠0.

Use

alphaαequals=0.10.1.

Then interpret the results in the context of the problem. If​ convenient, use technology to solve the problem.

  

​Weight, x	8.28.2	10.110.1	9.99.9	7.17.1	6.96.9	11.111.1	10.910.9	15.115.1
Hours​ slept, y	14.814.8	14.714.7	14.114.1	14.214.2	13.913.9	13.213.2	13.813.8	12.412.4

1. Identify the null and alternative hypotheses.

2. Calculate the test statistic

3. Calculate the P value

4. State Conclusion

Answer 1

Regression Analysis
	r²	0.562
	r	-0.750
	Std. Error	0.562
	n	8
	k	1
	Dep. Var.	y,hours slept
ANOVA table
Source	SS	df	MS	F	p-value
Regression	2.4341	1	2.4341	7.71	.0322
Residual	1.8947	6	0.3158
Total	4.3288	7
Regression output				confidence interval
variables	coefficients	std. error	t (df=6)	p-value	90% lower	90% upper
Intercept	16.0912	0.82	19.67	0.00	14.50	17.68
x,weight	-0.2223	0.0801	-2.776	.0322	-0.3779	-0.0667

1. Identify the null and alternative hypotheses.

Null Hypothesis M=0

Alternate Hypothesis M not equal to 0

2. Calculate the test statistic=-2.776

3. Calculate the P value=0.0322

4. State Conclusion

Since p value<alpha(0.10). Reject the null hypothesis.

There is significant evidence to conclude that M not equal to 0 at 10% level of significance.