Express the confidence interval (−26.8,225.8) in the form of  x±ME. x±ME=  ±

A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1000 hours. A homeowner selects 25 bulbs and finds the mean lifetime to be 980 hours with a standard deviation of 80 hours. If α = 0.05, test the manufacturer's claim using P-values.

A random sample of 51 adult coyotes in a region of northern Minnesota showed the average age to be x = 1.99 years, with sample standard deviation s = 0.70 years. However, it is thought that the overall population mean age of coyotes is ? = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use ? = 0.01. a) Estimate the P-value. choose correct one:P-value > 0.2500.100 < P-value < 0.250 0.050 < P-value < 0.1000.010 < P-value < 0.050P-value < 0.010 b) Sketch the sampling distribution and show the area corresponding to the P-value. c) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically…

The brain volumes (cm) of 50 brains vary from a low of 906 cm" to a high of 1488 cm. Use the range rule of thumb to estimate the standard deviation s and compare 3 13 the result to the exact standard deviation of 171.4 cm", assuming the estimate is accurate if it is within 15 cm 3 The estimated standard deviation is cm. (Type an integer or a decimal Do not round.) Compare the result to the exxact standard deviation. A. * The approximation is not accurate because the error of the range rule of thumb's approximation is less than 15 cm 13 The approximation is accurate because the error of the range rule of thumb's approximation is less than 15 cm cm³ OC. 3. The approximation is not accurate because the error of the range rule of thumb's approximation is greater than 15 cm 3 9 . The approximation is accurate because the error of the range rule of thumb's approximation is greater than 15 cm". cm³ in el Cick to select your answer(s). er javascript:doBxercise(3)- selected from a set of...…

The sample mean and standard deviation from a random sample of 29 observations from a normal population were computed as ?¯=23x¯=23 and s = 6. Calculate the t statistic of the test required to determine whether there is enough evidence to infer that the population mean is greater than 21. Test Statistic =

Express the confidence interval (49.6%,63.6%)(49.6%,63.6%) in the form of ˆp±Ep^±E.% ±± %

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1490 and a standard deviation of 298. The local college includes a minimum score of 2056 in its admission requirements.    What percentage of students from this school earn scores that fail to satisfy the admission requirement?P(X < 2056) =

Express the confidence interval (30%,43.2%)(30%,43.2%) in the form of ˆp±MEp^±ME.___% ± ___%

Express the confidence interval (13%,21.8%) in the form of ˆp±Ep^±E.

Express the confidence interval (37.5%,49.9%)(37.5%,49.9%) in the form of ˆp±MEp^±ME.