My lawn needs mowing , but i do not want to mow if its going to start raining while I'm in the middle of the job. So i am looking at the sky evaluating the weather, using the null hypothesis: "It will rain within the next two hours". In this situation , what would a type I error be?
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- A teacher selects a random sample of 56 students from her large high school. For each student, she records the length of their hair and whether they play a sport. She would like to know if there is convincing evidence that hair length is associated with playing a sport. Let = 0.05. What are the hypotheses for this test? H0: Hair length is not independent of playing a sport.Ha: Hair length is independent of playing a sport. H0: Hair length is independent of playing a sport.Ha: Hair length is not independent of playing a sport. H0: There is an association between hair length and playing a sport.Ha: There is no association between hair length and playing a sport. H0: The proportion of students with differing hair lengths is not the same if they play sports.Ha: The proportion of students with differing hair lengths is the same if they play sportThe concentration of carbon dioxide (COy) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use COz to fuel photosynthesis, more COz may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO, to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra COz. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percentage increase per year. Here are one year's data Pair 1 2 3 Control Plot 9.752 7.263 5.742 Treated Plot 10.587 9.244 8.675 Treated - Control 0.835 1.981 2.933 State the null and alternative hypotheses. Explain clearly why the investigators used a onesided alternative. Use at procedure to carry out a test and report your conclusion in simple language. The investigators used the test you just carried out.Any use of the…According to one investigator's model, the data are like 400 draws made at random from a large box. The null hypothesis says that the average of the box equals 50; the alternative says that the average of the box is more than 50. In fact, the data averaged out to 52.7, and the SD was 25. Compute z:
- A recent survey by the research institute showed that 62% of users of online dating sites say the number one thing they're looking for in a date or partner is common interests. Suppose you would like to perform a hypothesis test to challenge this finding. From a random sample of 130 students on campus, you find that 70 said the number one thing they're looking for in a date or partner is common interests. Using a = 0.05, complete parts a and b.An environmental chemist is performing a study of iron in atmospheric particulate measured downwind from a steel mill. She is concerned that wind velocity at the time of measurement may affect the readings. So, she decided to obtain observations on 30 randomly chosen days during the period of peak operation of the mill. She then, compares measurements taken on days when the wind is calm (velocity ≤ 5 knots) with measurements taken on windy days (velocity > 5 knots). The data are presented as the following: Table 1: Measurement of iron Calms Days Windy Days 0.68 0.74 0.88 0.25 0.29 0.3 0.43 0.45 0.5 0.89 0.97 1 0.65 0.91 0.92 0.93 0.95 1.01 1.17 1.25 1.27 0.69 0.74 0.8 0.87 0.87 0.89 8.85 1.54 0.6 1.03 1.16 By using SPSS or Minitab only: (1) Generate a descriptive table and summarize the data. (ii) Synthesize and discuss the different on the iron level between two days using boxplots. (iii) Propose the appropriate test to the study.Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x=104.18, y=105.25, r=0.892, P-value=0.000, and y=17.77+0.84x, where x represents the IQ score of the younger child. Find the best-predicted value of y given that the younger childhas an IQ of 108? The best-predicted value of y is?
- An employer was wondering if employees perform better at work with music playing. They decide to run an experiment where they play music one day and no music on another day. Each day they calculate the average level of productivity and compare the two means. 1. Identify the null hypothesis and a directional alternative hypothesis. null duesn't increuse.A special education teacher did research on whether or not there is a relationship between the number of students in his class and the number incidents of “acting out” behaviors exhibited by the autistic students in the classroom. He collects data for a year and aggregates them by month. He obtained the statistics below, r= -.863 R2=.74 b= -1.212294 a= 131.176598 10.) How does the presence of more students affect the incidents in the class? a) as students are added the incidences increase b) as students are added the incidences decrease c) the number of students does not affect acting out d) the number of students caused more incidents How much of the variability of acting out is explained by the number of students in the class?___________The concentration of carbon dioxide (CO2) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use CO2 to fuel photosynthesis, more CO, may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO, to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra CO,. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percent increase per year. Here are one year's data. Control plot - Control Treated plot 10.547 Pair Treated 9.732 0.815 7.273 9.244 1.971 5.762 8.675 2.913 (a) State the null and alternative hypotheses. (Where u is the mean difference, treated minus control.) Но: и На: и Explain clearly why the investigators used a one-sided alternative. The researchers have no preconceived idea what extra CO, will do to the growth rate.…
- The manager of the dairy section of a Superstore in Regina feels that at least 10% of the egg cartons have at least one broken egg. She took a random sample of 250 egg cartons and found that 40 cartons had at least one broken egg. At a = 0.05, can we conclude the manager is correct?The concentration of carbon dioxide (CO2) in the atmosphere is increasing rapidly due to our use of fossil fuels. Because plants use CO2 to fuel photosynthesis, more CO2 may cause trees and other plants to grow faster. An elaborate apparatus allows researchers to pipe extra CO2 to a 30-meter circle of forest. They selected two nearby circles in each of three parts of a pine forest and randomly chose one of each pair to receive extra CO2. The response variable is the mean increase in base area for 30 to 40 trees in a circle during a growing season. We measure this in percent increase per year. Here are one year's data. Pair Control plot Treated plot Treated - Control 9.782 10.647 0.865 2 7.283 9.254 1.971 3 5.712 8.695 2.983 (a) State the null and alternative hypotheses. (Where u is the mean difference, treated minus control.) Но: и На: и ? : Explain clearly why the investigators used a one-sided alternative. The researchers have no preconceived idea what extra CO2 will do to the growth…Has the principle of comparison been addressed in this experimental design? A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company's previous golf ball. To determine this, 40 new-style golf balls and 40 original- style golf balls are randomly selected from the company's production line on a specific day. The balls are then placed in bag and shaken. A golf pro then selects a ball and hits it. The distance the ball travels is then measured. The bag is shaken again, and the golf O Yes, because the balls are randomly selected, the distances of the new ball can be compared to the distances of the original ball. O Yes, because the original ball type is included in this experiment, the distances the different balls travel can be accurately compared. O No, because a placebo ball was not used, a comparison cannot be made to determine if the new ball travels significantly farther. pro selects another ball to hit. She…