5. Use the Kruskal Wallis H Test to determine whether there is no significant difference in the following samples. Use O. 5 level of significance S1 60 45 32 31 26 33 30 28 45 34 32 S2 44 33 42 32 35 36 28 42 37 40 36 S3 35 47 43 29 43 33 24 36 37 31 23
Q: A popular theory is that presidential candidates have an advantage if they are taller than their…
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Q: A popular theory is that presidential candidates have an advantage if they are taller than their…
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Q: A popular theory is that presidential candidates have an advantage if they are taller than their…
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Q: A popular theory is that presidential candidates have an advantage if they are taller than their…
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Q: A popular theory is that presidential candidates have an advantage if they are taller than their…
A: Suppose μd is the difference of the population of heights of president and main opponent.
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Q: A popular theory is that presidential candidates have an advantage if they are taller than their…
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Q: A popular theory is that presidential candidates have an advantage if they are taller than their…
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Q: A popular theory is that presidential candidates have an advantage if they are taller than their…
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Q: A popular theory is that presidential candidates have an advantage if they are taller than their…
A: Solution: Let x= Height of President and y =Height of opponent x y d=x-y (d-d) (d-d)2 180…
Q: A popular theory is that presidential candidates have an advantage if they are taller than their…
A: (a) State the hypotheses. That is, there is no evidence to conclude that difference between the…
Q: A popular theory is that presidential candidates have an advantage if they are taller than their…
A: (a) State the hypotheses.
Q: A popular theory is that presidential candidates have an advantage if they are taller than their…
A: President Main Opponent d 187 174 13 169 181 -12 179 177 2 185 178 7 190 197 -7…
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Q: A popular theory is that presidential candidates have an advantage if they are taller than their…
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Q: A popular theory is that presidential candidates have an advantage if they are taller than their…
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- A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 181 180 167 192 184 178 Height (cm) of Main Opponent 169 184 169 171 194 183 a. Use the sample data with a 0.05 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? Ho Hd 0 cm = H₁ Hd > 0 cm (Type integers or decimals. Do not round.) Identify the test statistic. t=0.41 (Round to two decimal places as needed.) Identify the…3. A researcher samples 5 colony of Species of K and 5 colonies of Species L, measures their sizes as: Species K Species L 4.7 5.3 5.2 4.6 6.1 4.1 5.8 4.8 5.2 4.2 а. Test if mean colony size of Species K and Species L are different from each other? Report a p-value. (You mav need to do an additional test to decide which test to apply for comparing the means) b. What is the power of the test in part a? С. The researcher would like to design a new experiment which will allow a two tailed hypothesis test with significance 0.05 and power 0.90. What should be the sample sizes nk and ni for Species K and Species L (use k = 1). %3DA popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 178 183 182 180 200 179 Height (cm) of Main Opponent 170 189 179 180 195 172 a. Use the sample data with a 0.01 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? H0: μd equals= greater than> less than< not equals≠ _________ CM H1: μd…
- The brightness of films produced by 3 different manufacturers has been compared using 3 different development processes: Kodak Fuji B C Agfa B A C 26 A 32 32 38 23 27 30 25 27 32 43 41 27 30 31 34 29 28 32 24 31 30 37 27 44 38 36 25 25 25 25 26 30 50 40 35 22 32 47 36 34 27 27 25 Carry out analysis of variance and interpret the results. 222Note: Follow the traditional steps in doing TEST OF HYPOTHESIS AND ANOVA. Do not use P value technique.Q.3 For the following data: a) Compute SST, SSTR, SSE b) Construct a one-way ANOVA table c) Decide at the 5% significance level, whether the data provide sufficient evidence to conclude that the means of the populations from which the samples are drawn are not the same. Sample 1 Sample 2 Sample 3 Sample 4 11 16 6 2 10 7 4 10 3. we have: ng = 3 n3= 3 n4 = 3 Ta 24 = 1s Ty= 36 THa9 n z Enj = 12 Exz= IT;= &4 ..... Ex - (Ex:*/n = SSTR = I (Tim;) - (Iri)/n = ()+( )+( )+( ) -- 2. SST = 12 SSE = 5sT - SSTR = Fostatistic df MS 2 df :عاطء Souree SS MSTR/MSE 138 Treatment where: MSE- SSE/(n-k) MSTR = SSTR/(K-1) Enron Tofal df z ( 3, 8) caitical Valme s ? Compare test- statistic to cv. Do you rejuctNull or Do not rejrit what dees it mean ? write here
- A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 179 184 176 192 185 173 Height (cm) of Main Opponent 173 177 172 169 187 170 a. Use the sample data with a 0.05 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? Ho: Hd Hid cm (Type integers or decimals. Do not round.) cmA popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President Height (cm) of Main Opponent 178 181 171 167 183 177 184 170 178 174 203 166 9 a. Use the sample data with a 0.05 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, Ha is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? Họ: Ha cm H1: Hd cm (Type integers or decimals. Do not round.)A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 181 172 174 177 187 172 Height (cm) of Main Opponent 166 182 171 169 188 169 a. Use the sample data with a 0.01 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? H0: μd (>,≠,=,<) ___ cm H1: μd (>,≠,=,<) ___ cm (Type integers or decimals. Do…
- 4. Given the sample data in the table below: 12 10 15 19 23 5 12 10 12 19 10 19 34 19 19 15 a) Determine the mean, median, and mode of this data. Please show your work! 5 12 b) Determine the range and inter-quartile range of this data. Please show your work!Consider a sample with data values of 10, 45, 60, 85, 90. Compute the IQR. Select one: О а. 90 O b. 45 О с. 60 O d. 10 Ое. 85 O f. 40A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 191 171 169 177 187 174 Height (cm) of Main Opponent 170 174 178 184 181 177 a. Use the sample data with a 0.01 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test? H0: μd = _____CM (equals= not equals≠ greater than> less than<) H1: μd =…