Using the root test, does sigma infinity n=1 (ln(n)/n)^n converge or diverge? If the root test fails, use another method to decide.

Cor A simple random sample of size 28 is drawn from a normal population whose standard deviation is a = 2. The sample mean is = 14.3. for Tutoring a.) Construct a 93% confidence level for µ. (Round answers to two decimal place.) Student rces margin of error: lower limit: e Drive upper limit: b.) If the population were not normally distributed, what conditions would need to be met? (Select all that apply.) large enough sample size n Oo is unknown Othe population needs to be uniformly distributed Do is known Uthe population needs to be normally distributed systematic sampling simple random sampte

How do find the E[X^2].

A local county has an unemployment rate of 6.9%. A random sample of 20 employable people are picked at random from the county and are asked if they are employed. Round answers to 4 decimal places. a) Find the probability that exactly 2 in the sample are unemployed. b) Find the probability that there are fewer than 4 in the sample are unemployed. c) Find the probability that there are more than 1 in the sample are unemployed. d) Find the probability that there are at most 4 in the sample are unemployed.

Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.038 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 56 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.068 microgram per cubic meter. At alphaαequals=0.01​, can the claim be​ supported? Complete parts​ (a) through​ (e) below. Assume the population is normally distributed.   d) Decide whether to reject or fail to reject the null hypothesis.   ▼   Fail to reject Reject Upper H 0H0 because the standardized test statistic ▼   is is not in the rejection region. ​(e) Interpret the decision in the context of the original claim.   There ▼   is not is enough evidence at the nothing​% level of significance to ▼   reject support the claim that the mean amount of lead in the air in U.S. cities is ▼   equal greater than or equal less than or equal not equal greater than less than nothing…

Assume the random variable X is normally distributed with a mean μ = 50 and standard deviation σ = 4.5. Find the P ( x > 58) (three-decimal accuracy)   Find the P (45 < x < 60) (three-decimal accuracy) Find x so that the area below x is .20. (one-decimal accuracy)