Construct the indicated confidence interval for the population mean μ using the t-distribution. Assume the population is normally distributed. c=0.95, x=13.4, s=3.0, n=8 (Round to one decimal place as needed.) G
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- Let X de a normally distributed variable with a population standard deviation = 43. A research believe that the standard deviation should increase when a new variable is manipulated. To test their claim, the research collects a sample of size n = 19 and finds a sample statistic of 8 = 53. Use the x²-table to find the largest value that the corresponding P-value can be. Type your answer...Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 1.00 and 2.25 Draw a sketch. Choose the correct graph below.Use the given data to find the 95% confidence interval estimate of the population mean μ. Assume that the population has a normal distribution. Give your answers to 2 decimal places. IQ scores of professional athletes: Sample size n 25 Mean x = 104 Standard deviation s = 9 = <μ<
- A statistics class is estimating the mean height of all female students at their college. They collect a random sample of 42 female students and measure their heights. The mean of the sample is 65.3 inches and the sample standard deviation is 5.4 inches. Find the 90% confidence interval for the mean height of all female students in their school? Assume that the distribution of individual female heights at this school is approximately normal. 1. The t value is 1.3025 2. The standard error has a value of -- 3. The margin of error has a value of 4. Find the 90% confidence interval for the mean height of all female students in their schoolAssume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a standard deviation o=20. Find the probability that a randomly selected adult has an IQ between 88 and 122. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ between 88 and 122 is (Type an integer or decimal rounded to four decimal places as needed.) CAssume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P9, the 69-percentile. This is the temperature reading separating the bottom 69% from the top 31%. P69 %3D
- TF.15 The standard deviation of a random sample of the hourly wages of 18 post office employees is s = $3.38. Assuming normal distribution, find a 95% confidence interval for the standard deviation σ. Use X2 - distribution.Use the sample data set to evaluate each of the steps in determining the sample standard deviation 23 20 14 35 28 Give an exact answer, not an approximation, for each step except the standard deviation. round the standard deviation to the nearest hundredth.. = = variance, s2 = standard deviation, s =Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard deviation o=15. Find the probability that a randomly selected adult has an IQ less than 123. Click to view page 1 of the table Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 123 is (Type an integer or decimal rounded to four decimal places as needed.). THE
- Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.05 significance level to test the claim that women and men have the same mean diastolic blood pressure. a. The test statistic is (Round to two decimal places as needed.) b. The P-value is (Round to three decimal places as needed.)Suppose baby kittens' weights are normally distributed with a mean of 11.4 and a standard deviation of 2.1. The Z-score tells you how many units above the average (if Z-score is positive) or below the average (if Z- Score is negative) any particular baby kitten's weight is. Find the baby kitten weight that corresponds to the following Z-scores. Use the formula Z where u is the mean, o is the standard deviation, and X is the baby kitten weight. a. Z = = 0.07, X = b. Z = 1.63, X =Use the given data to find the 95% confidence interval estimate of the population mean μμ. Assume that the population has a normal distribution. IQ scores of professional athletes:Sample size n=25n=25Mean x¯=106x¯=106Standard deviation s=10 answer <μ< answer