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Chapter 14: Q14.121 (page 585)

For each exercise, decide, at 10% significance level, whether the data provide sufficient evidence t reject the null hypothesis in favour of alternate hypothesis

Ha :p> 0

Short Answer

Expert verified

Ha : p>0is not rejected

Step by step solution

01

Correlation Coefficient 

Sample correlation coefficientr is calculated :r=∑zxzy/(n-1)

where zxn=(xn-xmean)/standarddeviation, and same for zyn

Using excel and above formula concept , r=0.8771

02

Hypothesis Testing 

r positive () for sample needs to be tested using hypothesis testing, to ensure that the population correlation parameter p(rho) is positive

t=r/(1-r2) /(n-2)

Putting r=0.8771,andn=4,n-2=2

We get t=2.5, which is greater than the tabulated t value at 0.05significance level, and so pis less at same significance level.

Hence, we reject the null hypothesis in favour of alternate hypothesis.

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Most popular questions from this chapter

14.75 High and Low Temperature. The data from Exercise 14.39for average high and low temperatures in January for a random sample of 50cities are on the WeissStats site.

a. Decide whether you can reasonably apply the regression t-test. If so, then also do part b.

b. Decide, at the 5%significance level, whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable.

In this Exercise 14.49, we repeat the information from Exercises 14.13.

a. Decide, at the 10%significance level, whether the data provide sufficient evidence to conclude that xis useful for predicting y:

b. Find a 90%confidence interval for the slope of the population regression line.

x312y-40-5 y^=1-2x

Acreage and Value. The document Arizona Residential Property Valuation System, published by the Arizona Department of Revenue, describes how county assessors use computerized systems to value single-family residential properties for property tax purposes. On the WeissStats site are data on lot size (in acres) and assessed value (in thousands of dollars) for a sample of homes in a particular area.

Which graph used in a residual analysis provides roughly the same information as a scatterplot? What advantages does it have over a scatterplot?

Gas Guzzlers. Use the data on the WeissStats site for gas mileage and engine displacement for 121 vehicles referred to in Exercise 14.41.
See all solutions

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