Question

A car dealer wants to examine the relationship between the number of TV ads run per...

1. A car dealer wants to examine the relationship between the number of TV ads run per week and the number of cars sold per week. Suppose a sample of 6 weeks shows that the correlation coefficient is 0.828. Is there a statistically significant relationship between the number of ads and the number of cars sold? Test using α=0.05.
1. Set up the null and alternate hypotheses.
1. Calculate an appropriate test statistic.

c.What is the p-value? Explain your conclusion in the context of the question.

The following needs to be tested:

H_0: = 0

H_A: 0

where corresponds to the population correlation.

The sample size is n = 6 , so then the number of degrees of freedom is df = n - 2 = 6 - 2 = 4.

test dtatistc, t =

t =

t =

t = 2.89

t_critical for two tailed test = 2.776

Since, |t| = 2.89 > t_c = 2.776 , null hypothesis is rejected

Using , p value = 0.954

Since, p > alpha ( 0.05 ), we reject null hypothesis.

Hence the correlation is not equal to 0

Earn Coins

Coins can be redeemed for fabulous gifts.

Need Online Homework Help?

Most questions answered within 1 hours.

Active Questions
• Management claims the mean income for all senior-level assembly line workers at 3M equals \$700 a...
• Frederick Company has two service departments (Cafeteria Services & Maintenance). Frederick has two production departments (Assembly...
• The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting...
• A six-lane multilane highway (three lanes in each direction) has a peak-hour factor of 0.90, 11-ft...
• In the sum A→+B→=C→, vector A→ has a magnitude of 13.9 m and is angled 37.5°...
• A restaurant association says the typical household spends a mean of ​\$3217 per year on food...