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The production numbers for five days in a factory producing three different products are given in the Table. Production numbers do not satisfy parametric assumptions. When investigating whether there is a difference between the production numbers of different products at the 0.05 significance level, which of the following is the test statistic?
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- 1.Determine the test statistic 2. Determine the P-Value47Listed below are numbers of intemet 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 line comtation coefficient and Kfind the value of r. Determine whether there is sufficient evidence to suppon a claim of linear comelation between the two variables. Use a significance level of a -0.01. Internet Users Award Winners 80.7 79.7 57.1 67.3 772 5.3 9.1 32 16 10.8 Construct a scatterplot Choose the correct graph below. OA LU odo a The linear correlation coefficient isr (Round to three decimal places as needed.) Determine the null and alternative hypotheses HO P HOP (Type integers or decimals. Do not round) The test statistic is t (Round to two decimal places as needed) The value is (Round to three deomal places as needed.) OB. Because the Palun of the linear correlation coefficient is award winners 37.8 0.1 Q OC M ddu 00. db the significance level, thereficent evidence to support the…
- Formulate research problems and hypotheses to test the effect between 2 variables (variable X and variable Y). The following presents quantitative data from the measurement results of variables X and Y from a number of individuals (sample) taken randomly from a certain population. The distribution of the measurement data is as follows: No. Resp. 1 2 3 456 789 10 11 12 13 14 15 16 Var.X 11 22 9 5 25 10 13 12 17 16 20 15 18 19 23 28 Var.Y 17 30 12 9 34 15 20 19 24 22 29 21 25 27 31 36 Based on these data, solve the following statistical problems: d. What is the direction of the relationship formed between the X variable and the Y variable?A17. Weight losses of 12 persons in an experimental one-week diet program are given below: 3.0 5.3 0.2 Weight Loss in Pounds 0.2 3.7 3.7 -1.2 5.9 2.0 1.4 1.7 3.6 Do these results indicate that a mean weight loss was achieved? ( m, > 0) (Perform a hypothesis testing with a = 0.05).
- 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). %3D2) Researchers are interested in whether there is any relationship between a person's IQ (x- variable) and how long they live (y-variable). Answer the questions below by using the data provided. Show your work and use the back of the page if necessary. X Y 10 3 6. 6. 7 4 3 4 a) What type of statistical analysis would be most appropriate to use in this scenario? Please justify your answer. b) Please state the null and alternative hypotheses. c) Please report the results of your statistical analyses and make a decision about whether to reject or fail to reject the null hypothesis Use alpha = .05 (two-tailed). %3DThe Gulf Company believes that the cost of a customer's shipment is determined by the weight of the packages being shipped. To investigate whether this relationship is justifiable, a random sample of 10 customer shipments was selected and the weight in kilograms (kg) and the cost in Omani Rial were recorded. Weight (kg) Cost (OMR) Y 6. 8. 9. 7 11 9. 11 17 27 13 16 8 6. 18 25 17 21 20 24 a. Perform a regression analysis to estimate the values of Bo and B, of the regression equation Y=Bo + B,X.(7 marks) b. Interpret the values you obtained fer Bo and B1 (6 marks) €. Estimate the cost of a shipment whose weight is 19 kg. (1 mark)
- Listed below are the number of cricket chirps in 1 min and the corresponding temperatures in degrees Fahrenheit. Is there sufficient evidence to conclude that there is a relationship between the number of cricket chirps in 1 min and the temperature? Use a significance level of α=0.05. Chirps in 1 min 1171 1105 1185 852 1089 950 917 862 Temperature (°F) 78.4 88.2 91.5 86.3 90.2 79.3 83.8 84.4 Determine the null and alternative hypotheses for this test. Find the value of the correlation coefficient. rs=enter your response here (Round to three decimal places as needed.) Determine the critical value(s) of the correlation coefficient. enter your response here (Round to three decimal places as needed. Use a comma to separate answers as needed.)Here is sample data on screen time (in minutes/hr) for 3 different populations. Children 19 19 17 18 21 23 15 13 13 17 18 21 25 24 17 Teens 21 17 26 34 43 39 32 27 21 10 45 Adults 33 34 33 23 56 21 34 21 17 40 Test the claim mean screen time is the same for all populations. Use α = 0.10. Does one population appear to have more screen time than other populations? Explain in 1 - m2 complete sentences.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