Math

StatisticsQ&A LibraryTo investigate the tradeoff between time to work and time to sleep, thefollowing equation is estimated:sleep 3,600+0.128totwrk -10.08educ+2.10age6.(112.14) (0.016)n 700, R2 0.102Standard errors are in the parentheses(1) Is either educ or age individually significant at the 5% level? Show yourwork(4.58)(1.35)(2) Dropping educ and age from the equation givessleep 3,780-0.104totwrk(52.04) (0.012)700, R2 0.099nAre educ and age jointly significant in the original equation at the 5% level?Justify your answerQuestion

Asked Nov 30, 2019

242 views

Step 1

6

1.

**Testing for independent variable “ educ”:**

State the null and alternative Hypotheses:

**Null Hypothesis:**

*H*_{0}: The variable “*educ*” is not significant.

**Alternative Hypothesis:**

*H*_{1}: The variable “*educ*” is significant.

From the given information, the coefficient of “*educ*” is -10.08 and the corresponding standard error is 4.58. The sample size is 700.

The test statistic is ** 2.2009** and it is calculated below:

Step 2

The number of sample observations is *n*=700 and consider the level of significance as 0.05.

The degree of freedom is, *n *– 1 = 700–1 = 699.

Here, the tail of the test is two tail test.

The* p*-value is ** 0.0281** and it is by Excel function

**Rejection Rule:**

If *p*-value ≤ α, then reject the null hypothesis.

If *p*-value > α, then do not reject the null hypothesis.

**Conclusion:**

The *p*-value is 0.0281 and the level of significance is 0.05.

Here, the *p*-value is lesser than the level of significance.

From the rejection rule, ** reject** the null hypothesis.

That is, ** the variable “educ” is significant**.

Step 3

**Testing for independent variable “ age”:**

State the null and alternative Hypotheses:

**Null Hypothesis:**

*H*0: The variable “*age*” is not significant.

**Alternative Hypothesis:**

*H*1: The variable “*age*” is significant.

From the given information, the coefficient of ...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean...

A: The following information has been provided:

Q: Views on the Death Penalty. The Pew Research group conducted a poll in which they asked," are you in...

A: The appropriate null and alternative hypotheses are shown below:H0: p1 = p2.Ha: p1 ≠ p2.The test sta...

Q: estimate P(at least 8) with n- 13 and p-06 by using the non a 5, is not suitablo on as an approsimal...

A: Checking conditions of np>5 and nq>5:Here, n is 13; p is 0.6.The standard deviation of the pop...

Q: A researcher computed a 90% confidence interval for the proportion of students who smoke. If the res...

A: False. Relationship between confidence level and error:The error value increases when the confidence...

Q: Ciestion Help If np 25 and nq 25, estimate P(fewer than 7) with n 14 and p 0.5 by using the normal d...

A: Introduction:Denote X as the variable of interest. The exact distribution of X is binomial with n = ...

Q: A lightbulb is advertised as lasting 1000 hours with a standard deviation of 150 hours. Assume the l...

A: The lasting duration of lightbulb is normally distributed with mean 1000 hours and standard deviatio...

Q: ONLY THE QUESTIONS THAT ARE NOT ANSWERED ! THANK YOU !!!!!

A: According to the provided data,

Q: A study of bone density on 5 random women at a hospital produced the following results. A...

A: Step-by-step procedure to obtain the correlation coefficient using Excel-Mega Stat is given below:En...

Q: The average cost of tuition and room and board at a small private liberal arts college is reported t...

A: The provided information are: