Solve the problem. Find the critical value x corresponding to a sample size of 19 and a confidence level of 99 percent. O 6.265 O 37.156 O 7.015 34.805

Find the sample size needed to estimate the percentage of adults who can wiggle their ears. Use a margin of error of 5 percentage points and use a confidence level of 90%. Complete parts (a) and (b) below. a. Assume that p and q are unknown. n = (Round up to the nearest integer.)

Use the given confidence interval to find the margin of error and the sample proportion.   ​(0.740​,0.766​)         E=enter your response here ​(Type an integer or a​ decimal.)

Please answer with explanation.

What is one property of a stationary time series?   Question 23 options:   The datapoints demonstrate a clear seasonal pattern   The mean remains constant over time   It is plotted as a straight horizontal line   It demonstrates an upward trend

Use the given confidence interval to find the margin of error and the sample proportion. (0.760,0.786) E = (Type an integer or a decimal.) (Type an integer or a decimal.) p =

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Determine whether the following statements are True or False: If we increase the confidence level C, then the width of the CI decreases, i.e., the CI becomes narrower. (Hint: think about what happens to the margin of error m) Suppose the mean of a population µ = 100. If we found that the margin of error is m = 2 for level of confidence 98%, then we can be 98% confident that a sample mean (computed from a sample of the same size used to compute m) is in the interval (98, 102).

Researchers studied the mean egg length (in millimeters) for a bird population. After taking a random sample of eggs, they obtained a 95% confidence interval of (45,60). What is the value of the margin of error? Choose the correct answer below. A. 15 mm B. 52.5 mm O c. 7.5 mm O D. 1.96

A baseball team claims that the mean length of its games is more than 1.4 hours. State H0 and Ha in words and in symbols. Then determine whether the hypothesis test for this claim is​ left-tailed, right-tailed, or​ two-tailed. Explain your reasoning.       State the null hypothesis in words and in symbols. Choose the correct answer below.     A. The null hypothesis expressed in words​ is, "the mean length of a baseball​ team's games is not 1.4 ​hours." The null hypothesis is expressed symbolically​ as, ​"H0​: μ≠1.4​."   B. The null hypothesis expressed in words​ is, "the mean length of a baseball​ team's games is at least 1.4 ​hours." The null hypothesis is expressed symbolically​ as, ​"H0​: μ≥1.4​."   C. The null hypothesis expressed in words​ is, "the mean length of a baseball​ team's games is at most 1.4 ​hours." The null hypothesis is expressed symbolically​ as, ​"H0​: μ≤1.4​."   D. The null hypothesis expressed in words​ is, "the mean length of a…