We want to test if there is any significant difference between the average grades between Social Sciences students and Administration students. Size Average Deviation Area Social Sciences 50 89 5.2 Administration 45 90 5.3 Test the hypothesis with a 5% significance level
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- What is meant by the sample space of an experiment?The respiratory disturbance index (RDI), which is the number of apneic and hypopneic episodes per hour of sleep, was used as a measure of severity of sleep apnea. An RDI of 5 or more indicates sleep-related breathing disturbances. The RDIs for the females and males samples in a study in US are as follows. At the 1% significance level, do the data provide sufficient evidence to conclude that the female patients are less suffer than male from the apnea disease?When doing an ANOVA, you observe large differences in means between groups. Within the ANOVA framework, this would most likely be interpreted as evidence strongly favoring which hypothesis?
- 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.A paint manufacturer wishes to compare the drying times of two different types of paint. Independent random samples of 11 cans of type A and 9 cans of type B were selected and applied to similar surfaces. The drying times (in hours) were recorded. The summary statistics are given in the image below. Use a 0.01 significance level to test the claim that the mean drying time for paint type A is longer than the mean drying time for paint type B.In a study of the accuracy of fast food drive-through orders, one restaurant had 30 orders that were not accurate among 393 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? Identify the test statistic for this hypothesis test.
- A random sample of 125 hypertensive and 150 normal senior citizens were asked if they read nutrition labels on food products. Results are presented below. (Check image) Is there an evidence of a significant difference between the proportions of hypertensive and normal senior citizens who read nutrition labels? Use a 5% level of significance.The method of selecting a significance level (alpha value) is different for an ANOVA True FalseA researcher looks at the mean salaries of male and female electricians and decides based on the evidence that there is no difference between the two groups. Given that there was a failure to reject the null hypothesis, it is possible that a type II error was made. Given the type of error made in this situation, what could researchers do to reduce the risk of this error? Choose a .01 significance level, instead of a .05 significance level. Increase the sample size.
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