A random sample of n = 50 individuals is obtained from a population with a mean of µ = 736. A treatment is administered to each individual in the sample and, after treatment, is measured. The average score for the treated sample is M = 732 with SS=962. Use a 2-tailed test with a critical value at .05. %3D
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- For all hypothesis testing, you must use the five-step method. A researcher wants to compare Natural Sciences students and Liberal Arts students in terms of how many books they read per year (other than those required for their courses). She takes samples of the two types of student and gets the following results: Natural Sciences Liberal Arts (Number of books read) __ X1 = 13.7 X2 = 16.2 s1 = 9.0 s2 = 2.3 n1 = 45 n2 = 41 The researcher develops a hunch that in the population, Natural Science students read fewer books than Liberal Arts…The rate of allergies in children was 15% in 2002. A medical researcher is curious whether advances in medicine have reduced this proportion and decides to conduct a hypothesis test. In a random sample of 500 children, he finds that 65 of them have allergies. Conduct an appropriate hypothesis test in questions #17 - #20. Compute the Z-score for this hypothesis test and round to two decimal places. z = -1.18 z = -1.25 z = -1.96 z = -1.561. For a and b, conduct every step of the Hypothesis testing process (1-5). The distribution of SAT scores is normal with M = 500, with a standard deviation alpha = 100. Mable believes that she scored significantly higher than average, at x = 643. Did Mable scores significantly higher than the average SAT score? A sample of n = 30 adults is taken from the above population and their average SAT score is measured to be M = 507. Does this sample differ from the population?
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- The rate of allergies in children was 15% in 2002. A medical researcher is curious whether advances in medicine have reduced this proportion and decides to conduct a hypothesis test. In a random sample of 500 children, he finds that 65 of them have allergies. Conduct an appropriate hypothesis test in questions #17 - #20. Using the Z-score and the Z-table, find the P-Value for this hypothesis test.Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: μd=0 Ha: μd⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0 Step 2: What is the test statistic? Step 3: Do we reject the null hypothesis? Is there sufficient or insufficient data?A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 428 gram setting. It is believed that the machine is underfilling or overfilling the bags. A 46 bag sample had a mean of 433 grams. Assume the population variance is known to be 441. Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled? Step 1 of 6: State the null and alternative hypotheses. Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places. Step 3 of 6: Specify if the test is one-tailed or two-tailed. Step 4 of 6: Find the P-value of the test statistic. Round your answer to four decimal places. Step 5 of 6: Identify the level of significance for the hypothesis test. Step 6 of 6: Make the decision to reject or fail to reject the null hypothesis. Step 7 of 7: State the conclusion of the hypothesis test.
- you have been hired by the San Antonio Spurs to analyze the 2005-2006 season. DRB - Number of Defensive Rebounds ORB – Number of Offensive Rebounds 3P – 3 point Field Goals Made Spurs- DRB- 2548 ORB- 851 3P- 524 Create a Null Hypothesis and Alternative Hypothesis based on the data above. The Hypothesis must be in written form and formula form. Show the Cluster sampleStep 2 of 5: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 5 : Find the p-value associated with the test statistic. Round your answer to four decimal places. Step 4 of 5: Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places. Step 5 of 5: Make the decision for the hypothesis test.In a lightbulb factory, an administrator selects a random sample of bulbs produced on assembly line A and a random sample of bulbs produced on assembly line B. The administrator calculates the proportion of malfunctioning bulbs produced by each assembly line and finds that the difference between them (A - B) is 0.008. A researcher conducted a hypothesis test with the following hypotheses: H0: The proportion of malfunctioning bulbs from assembly line A is the sample as the proportion of malfunctioning bulbs from assembly line B. HA: The proportion of malfunctioning bulbs from assembly line A is greater than the proportion of malfunctioning bulbs from assembly line B. She found a P-value of 0.016. What is the best interpretation of this P-value? a If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference of at least 0.008 is 0.016. b If there is a difference of 0.016 in the proportions…