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Q: If y3-3ax2+x3=0,then prove that y2+2a2x2y-5=0
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- 22. Is there multicollinearity in the model? Yes, No or Cannot be determined?A local chess club claims that the length of time to play a game has a mean of 43 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is ▼ equal to less than or equal to not equal to greater than or equal to greater than less than 43 minutes, but you ▼ reject fail to reject the null hypothesis, ▼ Upper H 0 : mu greater than or equals 43H0: μ≥43 Upper H 0 : mu not equals 43H0: μ≠43 Upper H 0 : mu equals 43H0: μ=43 Upper H 0 : mu less than or equals 43H0: μ≤43 Upper H 0 : mu greater than 43H0: μ>43 Upper H 0 : mu less than 43H0: μ<43 . A type II error will occur if the actual mean of the length of time to play a game is ▼ greater than less than or equal to less than greater than or equal to equal to not equal to 43 minutes, but you ▼ fail to reject reject the null hypothesis, ▼ Upper H 0…In a Right Tailed Hypothesis test, the test statistic was found to be Z=2.74The rejection region included values greater than the critical value Zc=2.02 The conclusion would be to... Reject the null hypothesis because the test statistic is NOT in the rejection region Fail to reject the null hypothesis because the test statistic is in the rejection region Fail to reject the null hypothesis because the test statistic is NOT in the rejection region Reject the null hypothesis because the test statistic is in the rejection region Accept the null hypothesis because the test statistic is NOT in the rejection region
- Q) Create a conceptual model and also develop null and alternate hypotheses of the following. The labor force heterogeneity enhances more to organizational effectiveness because each group brings its own special expertise and skills to the workplace. Collaboration can be leveraged, however, only if managers know how to tackle the special talents of the different working group; otherwise, they will remain unexploited.Once QBA 362 final exam is done, it will be time to reward Professor Hong with a well-deserved vacation. As a state employee, professor Hong hasn’t seen a raise since... well, ever.Thus, an important criterion, in fact the most important criterion is to find an exoticregion that can be visited inexpensively. There are three states of nature that could impact costs in these five areas of interest. Professor Hong has determined the average cost per day to visit each region under each of the possible states of nature. This table, which should not be construed as actual vacation advice, appears below. (Remember they are costs. Lower is better. For example, the most optimistic case is the one with lowest cost.) Region Strong Dollar Middling Dollar Weak Dollar Eastern Europe 33 54 57 Southeast Asia 41 56 36 Australia 45 44 58 Galapagos Islands 37 35 26…Students who arrive to class early do just as well on the homework as those who arrive to class late. Alternative hypothesis Null hypothesis
- A local chess club claims that the length of time to play a game has a mean of 23 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is ▼ less than equal to less than or equal to greater than not equal to greater than or equal to 23 minutes, but you ▼ fail to reject reject the null hypothesis, ▼ Upper H 0 : mu less than 23H0: μ<23 Upper H 0 : mu equals 23H0: μ=23 Upper H 0 : mu not equals 23H0: μ≠23 Upper H 0 : mu less than or equals 23H0: μ≤23 Upper H 0 : mu greater than or equals 23H0: μ≥23 Upper H 0 : mu greater than 23H0: μ>23 . A type II error will occur if the actual mean of the length of time to play a game is ▼ not equal to greater than or equal to equal to greater than less than or equal to less than 23 minutes, but you ▼ fail to reject reject the null hypothesis, ▼…A diet center claims that it has the most effective weight loss program in the region. Its advertisements say, “Participants in our program lose more than 4 pounds within a month.” Six clients of this program are weighed on the first day of the diet and then one month later. Let the difference be defined as Weight on First Day of Diet minus Weight One Month Later. (You may find it useful to reference the appropriate table: z table or t table) (Image is table) a. Specify the null and alternative hypotheses that test the diet center’s claim. (Which is Correct) H0: μD = 4; HA: μD ≠ 4 H0: μD ≥ 4; HA: μD < 4 H0: μD ≤ 4; HA: μD > 4 b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test Statistic = c. Find the p-value. p-value < 0.01 0.05 ≤ p-value < 0.10 p-value ≥0.10 0.025≤ p-value < 0.05 0.01 ≤…A local pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The store owner has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 26 minutes. The owner has randomly selected 19 customers and delivered pizzas to their homes. What hypothesis should the owner test to show that the pizza delivery will not be successful?
- Two extrusion machines that manufacture steel rods are being compared. In a sample of 1000 rods taken from machine 1, 960 met specifications regarding length and diameter. In a sample of 600 rods taken from machine 2, 582 met the specifications. Machine 2 is more expensive to run, so it is decided that machine 1 will be used unless it can be convincingly shown that machine 2 produces a larger proportion of rods meeting specifications. a) State the appropriate null and alternate hypotheses for making the decision as to which machine to use. b) Compute the P-value. c) Which machine should be used?It is believed that approximately 12% of the population of the United States is left-handed. Suppose researchers suspect that the proportion of left-handed people is higher in certain states than the national average. The researchers conduct a sample of 200 randomly selected people in the state of Maine and find that 29 people in the sample are left-handed.a. Write the null hypothesis and alternative hypothesis and define your parameter.b. Show that the necessary conditions (Randomization Condition, 10% Condition, Sample Size Condition) are satisfied to perform a hypothesis test. Briefly explain how each condition is satisfied.c. Perform the hypothesis test and find the P-value.d. Is there strong evidence that the left-handed rate in the state of Maine is higher than the national average? Briefly explain how you know.A researcher hypothesizes that people are more likely to be tired after a week of using the computer for 10 hours daily, without wearing blue-light glasses. The researcher randomly assigned 36 participants to one of two groups (Group 1 = without blue-light glasses vs Group 2 = with blue-light glasses). Then, the researcher monitored how many times each participant yawned per hour. How do we represent the alternative hypothesis for this study? Please write this out in words, or express it mathematically.