Determine whether the correlation coefficient is statistically significant at the specified level of significance for the given sample size. r=−0.331, α=0.05, n=30

Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given rrepresents a significant linear correlation. Use a significance level of 0.05. r = -0.816, n =5 O A. Critical values: r=0.950, significant linear correlation OB. Critical values: r= ±0.878, significant linear correlation C. Critical values: r= ±0.878, no significant linear correlation O D. Critical values: r= ±0.950, no significant linear correlation

Determine whether the correlation coefficient is statistically significant at the specified level of significance for the given sample size. r=−0.462, α=0.05, n=22

Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05. r=0.543, n=25 O A. Critical values: r = ±0.396, no significant linear correlation OB. Critical values: r = ±0.487, significant linear correlation OC. Critical values: r = ±0.487, no significant linear correlation OD. Critical values: r = ±0.396, significant linear correlation

A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72   116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =

The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a​ correlation? Use a significance level of alpha e quals 0.05.   a. The linear correlation coefficient is r equals ​(Round to three decimal places as​ needed.) b. The test statistic is t equals ​(Round to two decimal places as​ needed.)   c. The​ P-value is   ​(Round to three decimal places as​ needed.)

Determine whether the given correlation coefficient is statistically significant at the specified level of significance and sample size. r=0.438, α=0.01 , n=9

Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α=0.01.   Internet Users 78.1 80.6 56.3 66.2 77.1 38.5   Award Winners 5.7 8.9 3.4 1.7 10.6 0.1

Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a 0.05 significance level for both parts.     Male BMI Female BMI   μ μ1 μ2 n 41 41 x 28.3981 26.4624 s 7.246507 5.820596 a. Test the claim that males and females have the same mean body mass index​ (BMI).   What are the null and alternative​ hypotheses?     A. H0​: μ1=μ2 H1​: μ1≠μ2   B. H0​: μ1≥μ2 H1​: μ1<μ2   C. H0​: μ1≠μ2 H1​: μ1<μ2   D. H0​: μ1=μ2 H1​: μ1>μ2     The test​ statistic, t, is ______.​(Round to two decimal places as​ needed.)   The​ P-value is _____.​(Round to three decimal places as​ needed.)     State the conclusion for the test.     A. Fail to reject the null…

Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α=0.01.   Internet Users 80.4 79.0 57.9 66.3 76.4 39.0   Award Winners 5.7 9.2 3.2 1.8 10.9 0.1