A quality control manager wants to determine the reliability of the machines procured for a certain company by performing a hypothesis test on whether the error rate is less than or equal to 1% by taking 10 machines as samples. Which of the following statements is true when the engineer commits a type Il error?
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A: The given output is, Claim: Test whether there is a difference between the older and younger adult…
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A: We have to find decision and interprt The decision..
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A: a). Given, n1=39X1=21n2=41X2=23α=1-0.90=0.10 Now, p1=X1n1=2139=0.5385p2=X2n2=2341=0.5609 As per z…
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A: a) The hypotheses for the test are, H0:μ1=μ2H1:μ1≠μ2 The test is two-tailed.
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Q: 2. A study was conducted to examine the difference between the older and younger adult teachers on…
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A: H0: Income and Happiness are independent HA: Income and Happiness are dependent
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A: Given, A random sample of 10 gears from supplier 1 results in x1 = 290 and s1 = 12, and another…
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Q: According to the Community College Research Center at the Teachers College of Columbia University in…
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Q: Is there evidence to support the claim that supplier 2 provides gears with higher mean impact…
A: It is given that x̄1 = 290 x̄2 = 321 s1 = 12 s2 = 22 n1 = 10 n2 = 16
Q: An airline operates a call center to handle customer questions and complaints. The airline monitors…
A: Note Since you have posted a question with multiple sub-parts, we will solve first three sub- parts…
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- A random sample of n1 = 157 people ages 16 to 19 were taken from the island of Oahu, Hawaii, and 12 were found to be high school dropouts. Another random sample of n2 = 129 people ages 16 to 19 were taken from Sweetwater County, Wyoming, and 6 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different (either way) from that of Sweetwater County? Use a 1% level of significance. (a) What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)An airport official wants to prove that the proportion of delayed flights for Airline A (denoted as p1) is less than the proportion of delayed flights for Airline B (denoted as p2). Random samples for both airlines after a storm showed that 51 out of 200 flights for Airline A were delayed, while 60 out of 200 of Airline B's flights were delayed. The test statistic for this problem is -1.00. The p-value for the test statistic for this problem is: p = 0.0228 p = 0.0668 p = 0.3413 p = 0.1587Dr. Mackintosh believes a new olfactory therapy would be more successful in promoting weight loss among obese patients. His patients are first weighed and then randomly assigned to olfactory therapy, dance therapy, or a control condition. At the end of the three weeks, the amount of weight lost is recorded. The results indicate no significant difference in the amount of weight lost between the three conditions. If true differences existed between the conditions, but they were not detected, what kind of error occurred?
- A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Five hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%. Calculate the predictive value of a positive test.2. A study was conducted to examine the difference between the older and younger adult teachers on perceived life satisfaction. A pilot study was conducted to examine this hypothesis. Ten older adults (over the age of 50) and ten younger adults (between 20 and 40) were given a life satisfaction test (known to have high reliability and validity). Scores on the measure range from 0 to 60 with high scores indicative of high life satisfaction, low scores indicative of low life satisfaction. Result of the analysis is presented below. Older Adults Younger Adults Мean 44.5 28.1 Variance 75.38888889 72.98888889 Observations Hypothesized Mean Difference 10 10 df 18 x Stat P(X<=x) one-tail Critical one-tail P(X<=x) two-tail 4.257546666 0.000236832 1.734063607 0.000473663 x Critical two-tail 2.10092204 5. Is there a significant difference between the two groups? 6. Make a writeup of the result using APA formatA researcher selects a sample from a population with a mean of 50 and administers a treatment to the individuals in the sample. If the treatment is expected to decrease scores, what is the correct statement for the alternative hypothesis for a one tailed test
- one- Oishi and Schimmack (2010) report that people who move from home to home frequently as children tend to have lower than average levels of well-being as adults. To further examine this relationship, a psychol- ogist obtains a sample of n = 12 young adults who each experienced 5 or more different homes before they were 16 years old. These participants were givenThe Substance Abuse and Mental Health Services Administration (SAMHSA, 2017) estimates that 10.9% of the population of the United States age 18–24 had an episode of depression in the previous 12 months. Suppose a researcher takes a random sample of 225 United States adults aged 18–24. Determine the value of the sample proportion, p, such that 5% of samples of 225 United States adults age 18–24 are greater than p. You may find software or a z-table useful. Give your answer precise to three decimal places. p = IIA large company that produces a "tat-burner pill claims an average Ioss of 20 pounds in the first month. A consumer advocacy group believes that this claim is actually just "hype" intended to sell more of the compound. The advocacy group Would like to obtain statistical evidence about this issue and takes a random sample of 100 consumers who responded that they had purchased the pill but didn't know what the survey was about. They find that these 100 people lost an average of 18 pounds. Let the standard deviation of the population be 7.5 pounds. Clearly state the hypotheses, obtain the test statistic and p-value, and state the decision and conclusion. Show all your work.
- A researcher randomly assigns college freshmen to either of two experimental conditions. Because both groups consist of college freshmen, someone claims that it is appropriate to use a t test for the two related samples. Comments?A nutritionist in the FDA wants to compare the caloric content of medium French fries sold by Wendonald (Population 1) and McKing (Population 2) fast-food chains, to see if there is any difference between them. To test this, random samples from each chain is taken and the caloric contents of French fries are measured. The finding is summarized in the table on next page. Conduct an independent-samples t test to test whether there is any difference between the caloric content of French fries sold by the two chains, following the steps below. Wendonald McKing = 32 = 30 = 390 calories = 365 calories = 30 calories = 38 calories Write down the null and alternative hypotheses using proper notation Calculate (Write all steps) What is the value of for α = 0.05 with a two-tailed test?2a. (Data calories.txt) For this problem, focus on the random sample obtained using only treatment 1. What is the average number of calories consumed for children in this group? Use 2 decimals Hint: Don't forget to only use the subset of children that participated in meal prep aration. 2b. (Data calories.txt only using treatment 1 sample) Based on these data, obtain the standard error for the average of calories consumed by children participating in meal preparation. Enter the value using two decimals. Hint 2: The R command length() may be useful to find the appropriate sample size. 2c. (Data calories.txt only using treatment 1 sample) A researcher would like to show that children participating in meal preparation (treatment 1) consume more than 400 calories, on average. Use the results obtained in the previous two questions and obtained the test statistic. Enter it here using two decimals. 2d. (Data calories.txt only using treatment 1 sample) A researcher would like to show that…