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- The accompanying table lists pulse rates. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What is the conclusion? Click on the icon to view the data table. State the null and alternative hypotheses in the test for the effect of an interaction between row and column factors. Ho: There interaction between gender and age. H₁: There interaction between gender and age. Pulse Rates for Gender and Age C Under 30 Years of Age Over 30 Years of Age Female 78 103 78 63 61 98 81 98 91 95 77 75 73 65 71 78 61 71 74 55 Female Male 60 81 56 69 68 74 75 68 63 56 46 70 61 65 91 80 59 58 64 59 Male Print Done Dfor lead. One possible source of lead is from vehicles that drive around the forest, but this source has gone down in recent years due to elimination of lead trom gasoline. Analysis of Variance can help determine if the differences in mean lead concentrations are meaningful. Use the display below to determine if there evidence to support the claim that the mean lead concentrations differ significantly among years. Use a significance level of 0.05. One-way ANOVA: lead vs year Source Size DF SS MS 4 2 5.75 0.000 308 113 0.4 Error Total 312 121 Null Hypothesis, HO Alternative Hypothesis, H1 Test Statistic, F P-value Significance level Conclusionif a researcher undertook an experiment to evaluate the efficacy of a memory enhancement technique among a cohort of 15 college students. The memory recall abilities of each student were assessed both before and after they underwent training in the memory technique. The observed average increase in memory recall scores following the training was 5 points. The sample variance of the differences within the entire sample was denoted as 8. Does this research question aim to ascertain whether there is a statistically significant elevation in memory recall scores after the implementation of the memory improvement training? To address this question, a one-tailed test with a significance level of (alpha = 0.01) is employed.
- An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 170 engines and the mean pressure was 7.5 pounds/square inch (psi). Assume the population variance is 0.36. The engineer designed the valve such that it would produce a mean pressure of 7.4 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to two decimal places.A random sample of 40 companies with assets over $10 million was surveyed and asked to indicate their industry and annual computer technology expense. The ANOVA comparing the average computer technology expense among three industries rejected the null hypothesis. The mean square error (MSE) was 195. The following table summarized the results: Education Tax Services Food Services Number Sampled 10 14 16 Mean Expense (1,000,000s) 2 15.5 20 When comparing the mean annual computer technology expense for companies in the tax services and education industries, which of the following 95% confidence interval can be constructed?A sampie of 20 people has a mean age of 32 with a variance of 2. Test the hypothesis that the population mean age is less than 30 at 5% level of significance.
- A wine enthusiast named Suds collected data on the alc content (percent by volume) of wine for one grape variety in 2012 by a random sample of winemakers in Italy. Suds created the following Table: Alcohol % Mean 13.093 Std Error 0.1143 Median 13.165 Mode 13.17 Std Deviation 0.5111 Sample Variance 0.2612 Kurtosis -0.8385 Skew -0.1747 Range 1.68 Minimum 12.2 Maximum 13.88 Sum 261.86 Count 20 Use the table to determine whether mean alc content of all wines for that grape in 2012 in Italy was greater than 12.75% at the 0.1 significance. a) State the null and alternaternative hypothesis. b) What is the calculated value of the associated test statistic and what is the critical value of the associated test statistic? c) State your decision about the null hypothesis by comparing calculated and critical values of the statistic. State your conclusion(describe what the decision means in this problem).The effects of two catalysts on the mean yield of a chemical process are being investigated.A test is conducted in the pilot plant, yielding the data reported in Table 1. Is there anydifference between the mean yields from the two catalyst at the 5% significance level?Assume the two population variances are equal.Data is collected to compare two different types of batteries. We measure the time to failure of 10 batteries of each type. Battery A: mean= 8.65 Battery B: mean=11.23 Assume equal variances. Perform a .05 level test to determine if Battery B outlasts Battery A by more than 2 hours. Use Sp= .88569 What is the Chart Value for this problem?