SAT |
Income |
GPA |
1651 |
47000 |
2.79 |
1581 |
34000 |
2.97 |
1790 |
90000 |
3.48 |
1626 |
60000 |
2.5 |
1754 |
113000 |
2.92 |
1754 |
71000 |
3.76 |
1706 |
105000 |
2.8 |
1765 |
59000 |
3.26 |
1786 |
50000 |
3.89 |
1686 |
27000 |
3.67 |
1790 |
107000 |
3.31 |
1707 |
109000 |
3.16 |
1804 |
81000 |
3.73 |
1712 |
62000 |
3.21 |
1607 |
72000 |
2.8 |
1738 |
63000 |
3.7 |
1790 |
55000 |
3.86 |
1796 |
64000 |
3.91 |
1547 |
47000 |
2.63 |
1692 |
89000 |
2.98 |
1711 |
42000 |
3.45 |
1689 |
70000 |
3.06 |
1740 |
118000 |
2.88 |
1940 |
113000 |
3.96 |
applying Regression":
Regression Statistics | ||||||||
Multiple R | 0.9300 | |||||||
R Square | 0.8649 | |||||||
Adjusted R Square | 0.8520 | |||||||
Standard Error | 32.4902 | |||||||
Observations | 24 | |||||||
ANOVA | ||||||||
df | SS | MS | F | Significance F | ||||
Regression | 2 | 141927.9571 | 70963.9786 | 67.2254 | 0.0000 | |||
Residual | 21 | 22167.8762 | 1055.6132 | |||||
Total | 23 | 164095.8333 | ||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
Intercept | 1104.2580 | 54.7524 | 20.1682 | 0.0000 | 990.3941 | 1218.1218 | 990.3941 | 1218.1218 |
Income | 0.0017 | 0.0003 | 6.7696 | 0.0000 | 0.0012 | 0.0022 | 0.0012 | 0.0022 |
GPA | 150.9920 | 15.0931 | 10.0040 | 0.0000 | 119.6042 | 182.3798 | 119.6042 | 182.3798 |
a-3)test statistic for Income =6.770
a-4) p value <0.01
a-7) test statistic for GPA =10.004
a-8) p value <0.01
b-2) test statistic F =67.225
b-3) p value <0.01
c-1) predicted SAT score =1769.10
SAT Income GPA 1651 47000 2.79 1581 34000 2.97 1790 90000 3.48 1626 60000 2.5 1754...
In order to conduct a hypothesis test for the population mean, a random sample of 24 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 4.8 and 0.8, respectively.(You may find it useful to reference the appropriate table: z table or t table) Hot μ 4.5 against HA: μ > 4.5 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and...
In order to conduct a hypothesis test for the population proportion, you sample 320 observations that result in 128 successes.(You may find it useful to reference the appropriate table: z table or t table HO pz 0.45; HA: p < 0.45. a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) est statistic a-2. Find the p-value....
A report criticizes SAT-test-preparation providers for promising big score gains without any hard data to back up such claims (The Wall Street Journal, May 20, 2009). Suppose eight college-bound students take a mock SAT, complete a three-month test-prep course, and then take the real SAT. Student Mock SAT Real SAT 1 1830 1840 2 1760 1800 3 2000 2010 4 2150 2190 5 1630 1620 6 1840 1960 7 1930 1890 8 1710 1780 Let the difference be defined as...
In order to conduct a hypothesis test for the population mean, a random sample of 20 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 12.9 and 2.4, respectively. (You may find it useful to reference the appropriate table: z table or ttable). Ho : μ 12.1 against HA: μ > 12.1 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places...
In order to conduct a hypothesis test for the population proportion, you sample 440 observations that result in 220 successes. (You may find it useful to reference the appropriate table: z table or t table Ho: p 0.52; HA: P 0.52 a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic a-2. Find the p-value....
In order to conduct a hypothesis test for the population mean, a random sample of 24 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 4.8 and 0.8, respectively. (You may find it useful to reference the appropriate table: z table or t table) H0 : μ s 4 , 5 against HA: μ > 4 . 5 a-1. Calculate the value of the test statistic. (Round all intermediate calculations...
Consider the following hypotheses: Ho: 4 = 150 HA: H < 150 A sample of 80 observations results in a sample mean of 144. The population standard deviation is known to be 28. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal...
A professor teaches two sections of an introductory statistics course. He gives each section the same final and wonders if any significant differences exist between the medians of these sections. He draws a sample of seven scores from Section A and six scores from Section B. Section A Section B 75 62 87 93 74 7765 64 95 72 7885 80 Cli Click here for the Excel Data File o. Set up the hypotheses to test the claim that the...
In order to conduct a hypothesis test for the population proportion, you sample 300 observations that result in 111 successes. (You may find it useful to reference the appropriate table: z table or t table) HO : p o.41; HA p< 0.41. a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic a-2. Find the...
Consider the following hypotheses: HO: > 220 HA: U <220 A sample of 72 observations results in a sample mean of 209. The population standard deviation is known to be 18. (You may find it useful to reference the appropriate table: z table or t table) a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test...