I just need help with b and f

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A scientist is studying the paramecium, a one-celled organism, under a microscope. There are 1500 paramecia in the slide he is studying, and the standard deviation of their lengths is 0.12mm. He views a sample of 30 paramecia and finds that the mean length of these 30 specimens is 0.25mm. Give the point estimate of the mean length of the entire paramecium population in the slide? (a) (b) Construct a 95% confidence interval for the mean length of the population. (c) State the maximum error for the estimate?

Standard deviation can only be used for variables measured at the interval level central level nominal level ordinal level

The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/40 where x goes between 6 and 46 minutes. Round answers to 4 decimal places when possible. Find the probability that the time will be between 21 and 26 minutes Find the 51st percentile. The mean of this distribution is The standard deviation isFind the probability that the time will be at most 25 minutesFind the probability that the time is more than 38 minutes given (or knowing that) it is at least 15 minutes

A distribution with u=55 and o=6 is being standardized so that the new mean and standard deviation will be u =50 and o=10.When the distribution is standardized,which value will be obtained for a score of x=58 from the original distribution? x=53 x=55 X=58 x=61

The distribution of scores of students heading to college in the math section of the SAT follows a normal distribution with mean u = 520 and standard deviationo = 115. X = The score of a student heading to college in the math section of the SAT X = The mean score of 100 students heading to college in the math section of the SAT EX = The total score of 100 students heading to college in the math section of the SAT (Please show all formulas, calculations and the curves) (a) What math SAT score is 2 standard deviations below the mean? (b) What is the probability that the score of a student is less than 480? (c) What is the distribution of X? (d) What is the probability that the mean scores of 100 students is between 518 and 530? (e) What is the distribution of EX? (1) What is the probability that the total scores of 100 students is more than 51500? (g) What is the 65th percentile for the mean scores of 100 students?

A distribution of values is normal with a mean of 60 and a standard deviation of 3. Find the interval containing the mid-68% of the values. Please show your answer to 1 decimal place. Interval = (,)

A normal distribution has mean μ = 56 and standard deviation o = 20. Find and interpret the z-score for x = 61. The Z-score for x = 61 is So 61 is standard deviations (Choose one) ▼ the mean μ = 56. X

If X is exponentially distributed with a mean of 3, can you find a uniform distribution U[a,b]with the same mean and standard deviation?  please specify the values of a and b(please keep two significant numbers)