Listed below are the weights (in pounds) and the highway fuel consumption amount
ID: 3369471 • Letter: L
Question
Listed below are the weights (in pounds) and the highway fuel consumption amounts (in mi/gal) of randomly selected cars. The researcher suspected that the less a car weighs, the more miles to the gallon it will get. Weight: 3175 3450 3225 3985 2440 2500 2290 Fuel: 27 29 27 24 37 34 37 Considering the researcher's hypothesis, write the null and alternative hypothesis using correlation notation.
Which one is correct?
a. H0: Pxy< 0 H1: Pxy> 0
b. H0: Pxy< 0 H1: Pxy> 0
c. H0: Pxy> 0 H1: Pxy< 0
d. H0: Pxy= 0 H1: Pxy? 0
Make a final conclusion about the null hypothesis within the context of this scenario.
We reject the null hypothesis because .0005< .05
There is sufficient evdience to indicate a correlation between weight and fuel.
There is sufficient evidence to indicate that there is a statistically significant (strong & negative) correlation between weight and miles/gallon
There is sufficient evidence to indicate a statistically significant relatinship.
What are the null and alternative hypotheses if you want to answer the researcher's question using regression notation?
H0: ?y/x> 0
H1: ?y/x< 0
H0: ?y/x> 0
H1: ?y/x< 0
H0: ?y/x< 0
H1: ?y/x> 0
H0: ?y/x= 0
H1: ?y/x? 0
a.We reject the null hypothesis because .0005< .05
b.There is sufficient evdience to indicate a correlation between weight and fuel.
c.There is sufficient evidence to indicate that there is a statistically significant (strong & negative) correlation between weight and miles/gallon
d.There is sufficient evidence to indicate a statistically significant relatinship.
What are the null and alternative hypotheses if you want to answer the researcher's question using regression notation?
a.H0: ?y/x> 0
H1: ?y/x< 0
b.H0: ?y/x> 0
H1: ?y/x< 0
c.H0: ?y/x< 0
H1: ?y/x> 0
d.H0: ?y/x= 0
H1: ?y/x? 0
Explanation / Answer
Solution
researcher suspected that the less a car weighs, the more miles to the gallon it will get so negative correlation i.e. less than 0
option c. H0: Pxy> 0 H1: Pxy< 0
option c There is sufficient evidence to indicate that there is a statistically significant (strong & negative) correlation between weight and miles/gallon
option b
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