Annual high temperatures in a certain location have been tracked for a sample of 7 years. Let X represent the year and Y the high temperature (in C∘). x y 2 15.6 3 20.05 4 19.6 5 21.65 6 21.7 7 20.05 8 24 Calculate the correlation coefficient. (Round to three decimal places.) r= Let's test the significance of the correlation coefficient at α=0.05 significance level. H0: There is not a significant relationship between the year and high temperature, i.e., ρ=0. Ha: There is a significant relationship between the year and high temperature, i.e., ρ≠0. Calculate the test statistic. Round to three decimal places. t= Calculate the p-value. Round to four decimal places. p-value = Make a decision. Reject the null hypothesis. Do not reject the null hypothesis. Is there enough evidence to support that there is a significant relationship between the year and high temperature? Yes No
Annual high temperatures in a certain location have been tracked for a sample of 7 years. Let X represent the year and Y the high temperature (in C∘).
| x | y |
|---|---|
| 2 | 15.6 |
| 3 | 20.05 |
| 4 | 19.6 |
| 5 | 21.65 |
| 6 | 21.7 |
| 7 | 20.05 |
| 8 | 24 |
Calculate the
r=
Let's test the significance of the correlation coefficient at α=0.05 significance level.
H0: There is not a significant relationship between the year and high temperature, i.e., ρ=0.
Ha: There is a significant relationship between the year and high temperature, i.e., ρ≠0.
- Calculate the test statistic. Round to three decimal places.
t= - Calculate the p-value. Round to four decimal places.
p-value = - Make a decision.
- Reject the null hypothesis.
- Do not reject the null hypothesis.
- Is there enough evidence to support that there is a significant relationship between the year and high temperature?
- Yes
- No
Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.10 significance level.
The null and alternative hypothesis would be:H0:pN≥pD
H1:pN<pDH0:μN=μD
H1:μN≠μDH0:pN=pD
H1:pN≠pDH0:μN≥μD
H1:μN<μDH0:pN≤pD
H1:pN>pDH0:μN≤μD
H1:μN>μD
The test is:two-tailedleft-tailedright-tailed
The sample consisted of 35 night students, with a sample mean GPA of 3.37 and a standard deviation of 0.04, and 35 day students, with a sample mean GPA of 3.41 and a standard deviation of 0.02.
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:- Reject the null hypothesis
- Fail to reject the null hypothesis
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