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- The scores on a standardized mathematics test for 8th-grade children in New York State form a normal distribution with a mean of m= 70 and a SD=10. a. What proportion of the students in the state have scores less than X=75? b. If samples of n=4 are selected from the population, what proportion of the samples will have means less than M=75? c. If samples of n=25 are selected from the population, what proportion of the samples will have means less than M=75?(5). Calculate SS, variance and standard deviation for the following sample of n=7 scores: 8, 6, 5, 2, 6, 3, 5.An ANOVA is used to evaluate the mean difference among three treatment conditions with a sample of n= 12 particpantsin each treatment. For study, what is df total?
- The following Is an Incomplete ANOVA table. df MS 2 11.6 Source of Variation F Between groups Within groups Total 150 10 The p-value of the test Is Multiple Cholce less than 0.07 between 0.01 and 0.031 between 0.025 and 0.11 greater than 0.10Consider the following table: SS DF MS F Among Treatments 4468.45 10 706.87 15 Error Total Step 5 of 8: What is the sum of squares of sample means about the grand mean? Please round your answer to two decimal places.Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"
- what is the value in cell D? Round to 2 decimal places. How many total observations were there in the study? Hint: use df(total) to figure out the number of total observations. The following computer output is for an analysis of variance in which yields (bu/acre) of different varieties of oats were compared. Answer the following questions based on this ANOVA table. Source df SS MS F ratio Prob Between groups 2 76.90 38.45 D 0.63 Within groups 11 859.81 78.16 Total 13 936.17Total 8. The following summary table presents the results from a repeated-measures ANOVA comparing four treatment conditions, each with a sample of n = 20 participants. Fill in the missing values in the table. (Hint: Start with the df values.) Source Between treatments Within treatments Between subjects Error Total SS 33 263 df MS 3 F =(1) The following table summarizes the BMI collected for three different groups of a population. BMI N Mean SD Group A 100 21.6 2.1 Group B 100 24.8 1.8 Group C 100 27.9 1.3 Test the hypothesis whether there is a significant difference in the mean BMI scores among three groups. Use a = 0.05.
- Consider the following ANOVA table below. Some parts are blank intentionally. The number of observations is 249. Source Model (Regression) Residual (Error) Total The MSE is: SS 1,332 DF MS 921 Round your answer to two decimal places.23. A TV station claims to its advertisers that the mean number of minutes people view the station is 30. The station conducted a survey of 500 of their viewers who commute. The sample statistics are shown below. 29.11 Sx 20.718 A simulation was run 1,000 times based on the results of the survey. The results of the simulation appear below. 40 samples = 1000 mean = 29.101 SD = 0.934 30- 10 27.0 28.0 29.0 30.0 31.0 32.0 Time Based on the simulation results, is the claim that viewers watch the station for an average of 30 minutes plausible? Explain your response, including an interval containing the middle 95% of the data, rounded to the nearest hundredth. FrequencyAn analysis is conducted to compare mean time to pain relief (measured in minutes) under four competing treatment regimens. Summary statistics on the four treatments are shown below. Complete the following ANOVA Table. Source of Variation SS df MS F Between Groups Within Groups 3719.48 Total