A population has parameters μ=109.4μ=109.4 and σ=98.4σ=98.4. You intend to draw a random sample of size n=62n=62. What is the mean of the distribution of sample means? μ¯x=μx¯=  What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=σx¯=

Ages of Gamblers The mean age of a sample of 25 people who were playing the slot machines is 49.9 years, and the standard deviation is 6.8 years. The mean age of a sample of 33 people who were playing roulette is 55.5 with a standard deviation of 3.2 years. Can it be concluded at =α0.10 that the mean age of those playing the slot machines is less than those playing roulette? Use μ1 for the mean age of those playing slot machines. Assume the variables are normally distributed and the variances are unequal. State the hypotheses and identify the claim with the correct hypothesis. H0:    Claim or not a claim H1:   Claim or not a claim This Hypothesis test is a one-tailed or two-tailed test. Find the critical value(s). Round the answer to at least two decimal places. If there is more than one critical value, separate them with commas.  Critical Value(s): Compute the test value. Always round z score to at leat 2 decimal places.  z= Make the decision reject or accept the null hypothesis.…

A population of values has a normal distribution with μ=165.6μ=165.6 and σ=91.4σ=91.4. You intend to draw a random sample of size n=72n=72.What is the mean of the distribution of sample means?μ¯x=μx¯= What is the standard deviation of the distribution of sample means?σ¯x=σx¯=  Round to 4 decimal places.

Assume the random variable X is normally​ distributed, with mean μ=50 and standard deviation σ=7 Find the 81st percentile.