What is the confidence level (1 - a) of the following confidence interval for μ: (x-1.96(),x+1.96()) (1-α)= (enter the number with 3 decimals)
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Q: A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a…
A: Answer: Given, n=85 μ=275 x=284 σ=30 (a) Option E. H0:μ=275 VS HA:μ>275(claim)
Q: A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a…
A: GivenMean(x)=286standard deviation(σ)=40sample size(n)=85α=0.11
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A: The summary of statistics is, x¯=2.09,s=0.88,n=41,μ=1.75 (a) The level of significance is, α=0.01
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Q: In the regression equation -5.23 2.74x and n-24, the mean of x is 1256, 55-55.87 and 5-1071. A 90%…
A: t
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A: Given, null hypothesis : μ=100 Alternative hypothesis : μ>100 Level of significant=0.01
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A: R command has used to find pvalue.
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A: From the provided information, Sample size (n) = 50 Sample mean (x̅) = 871 Sample standard deviation…
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A: For the given data Use Chi square test
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A: given data, hypothesis:H0:μ=22Ha:μ>22x¯=38σ=1.6n=38CI=0.91α=1-0.91=0.09here population standard…
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Q: 1. In the past, a chemical company produced 880 pounds of a certain type of plastic per day. Now,…
A: Given that Sample size n =50 Population mean μ =880 Sample mean =871 Standard deviation =21
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A: Given that α=0.02 and df=18. We have to find the critical value for a two-tailed t test.
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Q: A medical engineer was testing the results on heart pace makers on their accuracy on keeping the…
A: Hey there! Thank you for posting the question. Since you have posted a question with multiple…
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A: Since, Population standard deviation is unknown thus t test conducted.
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Q: (a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below. OA. Ho:…
A: It is given that Population mean = 270 Sample mean = 277 Population standard deviation = 37 Sample…
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A: Explanation to Part (a):You have identified this part quite correctly.There appears to be a claim…
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- If it is known that the average value (u) of computer battery life after recharge is 12 hours and standard deviation (s) = 2 hours and the value of Z score= (x - u)/s . If there is a battery that has a lifetime (x) in the interval of x ± 3 s, then the battery is an outlier product. Based on the average value and standard deviation, the battery is said to be an out of control product if Battery life more than 6 hours and less than 18 hours Battery life less than 10 hours or more than 14 hours Battery life less than 6 hours Battery life less than 6 hours or more than 18 hours Choose the correct one A battery manufacturer produces batteries with a lifetime of 400 hours. If the standard deviation is 20 hours. Then the probability that the battery will live between 400 and 434.4 hours is …Your instructor tells you that past average scores for the final exam are 75%. But this semester he has been using online quizzes to help your class better prepare for the final. Your class scored the following on the final exam: mean= 80% with a 10% standard deviation. There are 49 people in your class. Assuming α = .05, did the online quizzes help your class perform better?a random sample of 23 items is drawn from a population whose standard deviation is unknown. the sample mean is x=770 and the sample standard deviation is s=25 use appendix d to find the values of students t. (a) construct an interval estimate of u with 95% confidence (b) construct an interval estimate of u with 95% confidence assuming that s=50 (c) construct an interval estimate of u with 95% confidence, assuming that s=100.
- A random sample of 89 eighth grade students' scores on a national mathematics assessment test has a mean score of 282. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 33. At α = 0.13, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below. O A. Ho: ≤280 Ha: μ> 280 (claim) O D. Ho: ≤280 (claim) Ha: μ > 280 C O B. Ho: μ = 280 Ha: μ> 280 (claim) O E. Ho: μ=280 (claim) Ha: μ> 280 OC. Ho: ≥280 (claim) Ha: μ < 280 OF. Ho: μ< 280 Ha: μ ≥280 (claim)Some IQ tests are standardized to a Normal model, with a mean of 100 and a standard deviation of 16. To help you with questions 8-10, draw the model for these IQ scores and clearly label it, showing what the 68–95–99.7 Rule predicts. In what interval would you expect the central 95% of IQ scores to be found? From ( ) to ( )A population has a mean of 150 and a standard deviation of 44. Suppose a sample of size 121 is selected and x-bar is used to estimate μ. (a). What is the probability that the sample mean will be within ±3 of the population mean? (b). What is the probability that the sample mean will be within ±7 of the population mean? (c). What is the probability that the sample mean will be greater than 148? (d). What is the probability that the sample mean will be less than 145? Round answer 4 decimal places
- A medical engineer was testing the results on heart pace makers on their accuracy on keeping the heart at the perfect pace of M=60 beats per minute. She wants to test this against the national average, but she cannot obtain the SD from the population and must calculate it from her sample, but will be able to use the mean from her study for the t test calculation. She sampled the heart rates of n=10 patients to compare to the normal average. She wants to make the test strict to make she is not getting a type I error, so sets the alpha level at α=.01. These are the raw numbers of the heart rates that she collected: 62, 63, 65, 59, 64, 65, 67, 60, 62 and 64. State the hypotheses of the study.b. Find the critical tvalue for this studyc. Compute the one sample ttestd. Compute the Cohen's d for the datae. State the results in APA format (numbers and words) and don’t forget to include all parts in the sentence and the direction of the results.Please don't forget to read this!!! There are 3 more parts to the question Find the standard score (round to two decimal places as needed.) z= Find the P-value (round to four decimal places as needed.) P-value= Make an ConclusionOnly 13% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 348 randomly selected registered voters surveyed, 28 of them will vote in the upcoming election. What can be concluded at the αα = 0.10 level of significance? The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis.
- A random sample of 85 eighth grade students' scores on a national mathematics assessment test has a mean score of 276. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 31. At α=0.08, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H0 and Ha.Choose the correct answer below. A. H0:μ≤270 Ha:μ>270(claim) B. H0:μ=270 Ha:μ>270(claim) C. H0:μ=270(claim) Ha:μ>270 D. H0:μ≥270(claim) Ha:μ<270 E. H0:μ≤270(claim) Ha:μ>270 F. H0:μ<270 Ha:μ≥270(claim) (b) Find the standardized test statistic z, and its corresponding area. z= (Round to two decimal places as needed.) (c) Find the P-value. P-value= (Round to three decimal places as…The research question is whether attractiveness affects the behavior of infants lookingat photographs of women’s faces. The researcher is expecting the infants to prefer themore attractive face. Therefore, the researcher predicts that the infants will spendmore than half of the 20-second period looking at the attractive face. Specifically, the researcher tested a sample of n = 9 infants and obtained a mean of M = 13 seconds looking at the attractive face with SS = 72 Calculate the t statistic and show your work.The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76 4-What is the p-value corresponding to your answer toProblem 8.4?