58LEM 2 (15)nts ton). A medical manufacturer is evaluating a new epoxy hardener to replace the current ardener used in its production processes. The new hardener is manufactured by a slightly different process, so it needs be tested and compared to the current one. If no statistical difference in the means between the two processes is stablished, the new hardener will be accepted for production use. The first test being run in the study is a measurement of equilibrium moisture content. For each type of hardener, 40 different samples were measured for moisture content (in weight %) and were both determined to be approximately normally distributed. a) State a suitable null and alternative hypothesis for this situation. b) Compute the test statistic for your null hypothesis. c) Compute (or place a bound) on the p-value for your test outcome.

You are conducting a study to see if the average female life expectancy is significantly different from 81. Your sample data (n=17) produce the test statistic t=-2.67. Find the p-value accurate to 4 decimal places.

You are conducting a study to see if the average male life expectancy is significantly different from 88. Your sample data (n=9) produce the test statistic t=−2.75. Find the p-value accurate to 4 decimal places.

A population of N = 25 scores has ΣX = 40 and ΣX2= 120. For this population, what is the value of SS (sum of squared deviations)?

MDM Farms grows normally distributed potatoes and is testing a new crop. After 4 months, 20 plants produce potatoes with the following weights (in kg): 0.7, 1.4, 1.4, 1.3, 0.3, 1.4, 0.6, 1.3, 1.3, 1.1, 0.9, 1.5, 1.1, 1.5, 0.6, 1.4, 1.1, 0.5, 0.6, 0.8 a. Find the mean and standard deviation of the sample. b. What percent of potatoes grown from this crop will be over 2 kg?

In an attempt to develop a model of wine quality as judged by wine​ experts, data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 12 ​wines, a model was created using the percentages of alcohol to predict wine quality. For those​ data, SSR=20,958 and SST=31,556.   b. Determine the standard error of the estimate.   SYX=enter your response here ​(Round to four decimal places as​ needed.

B6. Pinan Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source Regression Residual Total Regression output Variables Intercept Distance-X Answer the following questions. SS 1,864.5782 1,344.4934 3,209.07 Coefficients 12.3601 4.7956 df 1 28 29 MS 1,864.5782 48.0176 Std. Error 3.2915 0.7696 F 38.83 t(df=28) 3.755 6.231 a) Write out the regression equation. Is there a direct or indirect relationship between the distance from the fire station and the amount of fire damage? b) How much damage would you estimate for a fire 5 miles from the nearest fire station?

In the 2015 AFC championship game, there was a charge the New England Patriots underinflated their footballs for an advantage. The balls should be inflated to between 12.5 and 13.5 pounds per square inch. The accompanying data consists of eleven of the twenty-two measurements on the Patriots' footballs. Complete parts a and b 10.85 11.95 11.00 10.95 11.35 10.90 10.50 11.10 11.85 11.55 10.70 O a. Test the hypothesis that the population mean is less than 12.5 psi using a significance level of 0.05. State dearly whether the Patriots' footbalis are underinflated or not. Assume the conditions for a hypothesis test are satisfied. Determine the null and alternative hypotheses. Choose the correct answer below. OB. H:p 12.5 H us 125 OD. Ho: 12.5 Hu> 12.5 C. H 12.5 H ps125 OF H:p12.5 H 125 H2 125 OE Ho:u#125 H 125 The test statistic is -9.57 (Round to two decimal places as needed.) The p-value is (Round to three decimal places as needed.)

options for first to blanks : 1- between 0.05 and 0.20 /2- greater than 0.20 / 3- less than 0.2  options for last blank : 1- handrubbing with alcohol / 2- handwashing with soap

In a test of H0: p = 0.40 against Ha: p # 0.40, the sample data yield the test statistics z = 1.78. Find the p-value for this test. Round your answer to 4 decimal places.