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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- A random sample of 130 observations produced a mean of x = 23.4 trom a population with a normal distribution and a standard deviation a= 2.66. (a) Find a 99% confidence intérval for ja SHS (b) Find a 95% confidence interval for 4 SHS (c) Find a 90% confidence interval for SuSIf 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?
- After 22 people used product A for a month, 17 people were satisfied and 5 people were not satisfied. Find the HPD interval of 95% of 0 when the pre-distribution of satisfaction 0 of this product is Beta(1,1).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 placesA 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.With a sample size of 400, the calculated standard error of mean is 2 with a mean of 120. What sample size would be required so that we could be 95 % confident that the population mean is within ± 3.5 of the sample mean ? (Z value with 95% confidence for two tailed test is 1.96).
