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A new process for producing a type of novolac resin is supposed to have a
mean cycle time of 3.5 hours per batch. Seven batches are produced, and their cycle times, in hours, were
3.45, 3.47, 3.57, 3.42, 3.40, 3.53, 3.59
Can you conclude that the mean cycle time is less than 3.5 hours? Test at a 10% significance level and report a p-value.
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- In order to evaluate a spectrophotometric method for the determination of titanium concentration, the method was uased on 64 alloy samples containing different certified amounts of titanium. For each alloy, eight different concentrations of titanium were made. Additionally, two spectrophotometer machines were used in the lab to control for possible variation between machines. Each machine received a random allocation of each concentration of alloy. Below you will find an ANOVA analysis for difference in certified mean concentrations detected using machines as a blocking fator. (You will have to calculate some of the values in the tables marked with ). Concentration 1.93 Machine 0.16 Residuals 14.27 Which one of the following is correct given the ANOVA table (using a 5% level of significance)? A. The method was able to detect the difference in the concentrations of titanium alloys; additionally, there was a detectable difference in the mean concentration between machines.…Independent random samples of households in the 5 U.S. regions yielded the data on last year’s energy consumption(Kilowatts). At the 5% significance level, do the data provides sufficient evidence to conclude that a difference exists in last year’s mean energy consumption by households among the 5 U.S. regions? ANOVA Test Northeast: 15, 10, 13, 14, 13 Midwest: 17, 12, 18, 13, 15, 12 Southeast: 11, 7, 9, 13 West East: 10, 13, 8, 7, 9 East coast: 12, 18, 10, 8 Alaska: 15, 14, 13, 16 a)State null and alternative hypothesis b)Test Statistics c)P-value d) ConclusionIs the proportion of wildfires caused by humans in the south different from the proportion of wildfires caused by humans in the west? 394 of the 533 randomly selected wildfires looked at in the south were caused by humans while 388 of the 554 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the = 0.01 level of significance? For this study, we should use Select an answer z-test for the difference between two population proportions t-test for the difference between two dependent population means z-test for a population proportion t-test for the difference between two independent population means t-test for a population mean The null and alternative hypotheses would be: Select an answer p1 μ1 Select an answer > ≠ < = Select an answer μ2 p2 (please enter a decimal) Select an answer p1 μ1 Select an answer > = < ≠ Select an answer p2 μ2 (Please enter a decimal) The test statistic ? z t = (please show your…
- An advertising agency is studying social media campaigns and how they impact website traffic. The advertising agency states the average increase in website traffic after a social media campaign is greater than 20 percent. If we would like to test the advertising agency's claim with a hypothesis test using a significance level of α = 0.015, what is the rejection region? Use the graph below to show the rejection region. First, move the blue dot to choose the appropriate test (left-, right, or two- tailed). Then, slide the shaded region(s) to represent the rejection region. Provide your answer below:Customers at IT Phone Call Center have been complaining that they are waiting too long for service. The managers at the call center have taken notice and asked you to do some investigating to determine the typical service time for their customers for morning shifts compared to evening shifts. You collect the following samples (time in minutes): Morning shifts: 8, 15, 16, 18, 18, 20, 21, 21, 21, 56 Evening shifts: 3, 11, 12, 14, 22, 22, 30, 33, 34, 47 Explain in detail which descriptive statistic (mean, median, or mode) you would utilize to communicate the typical service time to your boss for each shift and why. In your explanation, be sure to include which shift (morning or evening) has the quicker turn-around time.A researcher is studying hospitals cleanliness comparing carpeted rooms with uncarpted rooms. This researcher would like to determine if the mean number of airborne bacteria (per cubic foot) in carpeted rooms differs from the mean amount of airborne bacteria in uncarpeted rooms. To test thus, carpeted and uncarpeted hospitals rooms were randomely selected. Then air from the room was pumped over a petri dish and the number of bacteria of the patri dish was recorded. Since both samples are small (less than 30), you may assume that number of bacteria per petri dish is normally distributed. Using significant level =.05, use the unequal varance t-test for means to determine if the mean number of airborne bacteria in carpeted rooms differs from the mean number of airborne bacteria in uncarpeted rooms. Follow all steps and remember that you must assign population 1 and population 2 before you set up your Ho and Ha.
- You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly more than 0.15. You use a significance level of a = 0.01. Но:р — 0.15 H1:p > 0.15 You obtain a sample of size n 137 in which there are 28 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is.. less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that. O There is sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is more than 0.15. O There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is more than 0.15. The sample data support…When performing a Chi-Square test, what is the critical value between the accept and reject regions for a test with 4 classes and 44 observations at the 5% level of significance?You wish to test the following daim (Ha) at a significance level of a = 0.05. Ho:P1 P2 You obtain a sample from the first population with 422 successes and 126 failures. You obtain a sample from the second population with 385 successes and 176 failures. critical value = [three decimal accuracy] test statistic = [three decimal accuracy]
- What is the critical value for a set of sample data that has 5 treatments with 5 samples for each treatment, evaluated at the 10% level of significance?PLS HELP!You are conducting a study to see if the accuracy rate for fingerprint identification is significantly different from 0.23. You use a significance level of α=0.01 H0:p=0.23 H1:p≠0.23You obtain a sample of size n=228n=228 in which there are 70 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... The sample data support the claim that the accuracy rate for fingerprint identification is different from 0.23. There is not sufficient sample evidence to support the claim that the accuracy rate for fingerprint identification is different from 0.23.
