# Statistic anlaysis Sampling Distributions

**Question description**

**1-Bass - Samples:** The bass in Clear Lake have weights that are normally distributed with a mean of 1.9 pounds and a standard deviation of 0.9 pounds.

(a) If you catch 3 random bass from Clear Lake, find the probability that the mean weight is **less** than 1.0 pound. **Round your answer to 4 decimal places. **

(b) If you catch 3 random bass from Clear Lake, find the probability that the mean weight it is **more** than 3 pounds. **Round your answer to 4 decimal places. **

**2-The bass in Clear Lake have weights that are normally distributed with a mean of 2.1 pounds and a standard deviation of 0.6 pounds.What percentage of all randomly caught groups of 3 bass should weigh between 1.9 and 2.4 pounds? **

**Enter your answer as a percentage rounded to one decimal place.**

**%**

**3-Bass - Samples:** The bass in Clear Lake have weights that are normally distributed with a mean of 2.2 pounds and a standard deviation of 0.6 pounds. Suppose you catch a*stringer* of 6 bass with a total weight of 16.5 pounds. Here we determine how *unusual* this is.

**(a) What is the mean fish weight of your catch of 6? Round your answer to 1 decimal place. pounds(b) If 6 bass are randomly selected from Clear Lake, find the probability that the mean weight is greater than the mean of those you caught. Round your answer to 4 decimal places. (c) Which statement best describes your situation?**

**4-Lifespan:**Assume the average life-span of those born in the U.S. is 78.2 years with a standard deviation of 16 years. The distribution is not normal (it is skewed left). The good people at*Live-Longer-USA*(fictitious) claim that their regiment of acorns and exercise results in longer life. So far, 45 people on this program have died and the mean age-of-death was 83.7 years.(a) Calculate the probability that a random sample of 45 people from the general population would have a mean age-of-death greater than 83.7 years. **Round your answer to 4 decimal places. **

(b) Which statement best describes the situation for those in the *Live Longer *program?

(c) Why could we use the central limit theorem here despite the parent population being skewed?

## Tutor Answer

**Quality**

**Communication**

**On Time**

**Value**

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors