a. Ho : p = 0.28 Ha : p > 0.28 b. Level of Significance: a = 0.10 c. Computed Test Statistic: zcom =
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- ACT Scores Based on the Normal model (mean = 20.8 and standard deviation = 4.8), describing ACT scores for Kentucky high school seniors. a) what percent scores would you expect to be over 22 (minimum admission for most state schools except Kentucky State and Uni. of Kentucky)? Draw a picture. b) what percent of scores would you expect ot be below 17 (minimum for admission to the rest of the state schools not mentioned). Draw a picture 3) what act score represents the 90th percentile? Draw a picture.The length of a metal block is measured 4 times using a ruler. The results are shown below: measurement # length l (mm) 1 23.5 2 23.8 3 23.2 4 23.6 First, calculate the mean length and fill it in the blank below. Next, fill in the blanks for the differences and in the table above. Finally, calculate the standard deviation, the standard deviation of the mean and the 2σ uncertainty and fill in the blanks below. Important notes (read before entering your answers): Enter the values in mm using decimal notation (e.g. 0.0123). A leading zero before the decimal point must be entered (e.g. 0.0123, not .0123). Do not use scientific notation, as it will not be recognized, and do not enter the units. Do not round the numbers, as this may cause rounding errors to accumulate. Mean length: mm Standard deviation mm Standard deviation of the mean mm 2σ uncertainty mmTo build a 86% CI for the mean of a population, you take a random sample of 31 values and find s = 18. What is the Margin of Error, E? Round the Critical Value and your answer to three decimals. Submit Question tor
- The p-value for a t-statistic was .008. What is the best way to report the level of significance? p<.008 p<.05 p<.01 p<.001Use the random sample data to test the claim that the mean travel distance to work in California is less than 35 miles. Use 1% level of significance. • Sample data: x = 31:2 mi s = 9.5 mi n = 37 • Use the P-value method • Show all 5 stepsUse R code, place the steps and screenshots of the procedure From the following data of the diameter of a particle in (μm) Calculate: Sample mean, Sample standard deviationHistogram (Frequency vs diameter), Histogram (probability density vs diameter)Curves (equation and graph) that fit the graphs and their explanation Diameter (μm) 2 2.6 1.2 1.8 0.8 2 1.4 1.4 1.4 1.8 1.4 1.4 1.4 0.6 1.2 1.2 41.4 1.4 2.4 1.4 2 2.4 1.8 1.4 2 1.8 2 1.8 0.8 2.2 2.8 2.8 4.6 2 1.4 2.4 1.2 1.4 1.2 5 1.4 1.2 2 0.8 1.4 1.8 1.2 2 1.4 1.4 1.8 2.6
- VI. ASSESSMENT/ACTIVITY Compute the z-value and state whether the z-score locates the raw score x within a sample or within a population 1. x = 50 S = 5 X = 40 2. x = 40 o = 8 u = 52 3. x = 36 S = 6 x = 18 4. x = 74 5. x = 82 S = 10 X = 60 o = 15 u = 75Create a Scatterplot of y against average freshman high school GPA.For each of the following hypotheses in Questions 6-8, (i) provide the p-value (or its bounds) and (ii) draw a basic conclusion (REJECT or DO NOT REJECT only) with respect to Ho with 99% confidence. Handwritten notes are not necessary for these questions.
- Type size Mean S.D. I 10 136.7 4.5 II 15 138.3 4.6 7. | find the 98% econfidence interval for the difference of mean fabric strengths for the two types using a pooled interval. Interpret your answer.the dataset provides information on temperature change in some provinces from china. Analyze it using SPSS and conduct any testsThe volume of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.45 ounces and a standard deviation of 0.30 ounce. The company receives complaints from consumers who actually measure the amount of soda in the cans and claim that the volume is less than the advertised 12 ounces. What proportion of the soda cans contain less than the advertised 12 ounces of soda?A) .9332 B) .4332 C) .0668 D) .5668