Question: It is suspected that a random variable has a normal distribution with a mean of 6 and a standard deviation of 0.5. After observing several

It is suspected that a random variable has a normal distribution with a mean of 6 and a standard deviation of 0.5. After observing several hundred values, we find that the mean is approximately equal to 6 and the standard deviation is close to 0.5. However, we find that 53% percent of the observations are between 5.5 and 6.5 and 83% are between 5.0 and 6.0. Does this evidence increase or decrease your confidence that the data are normally distributed?

Explain your answer.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Biostatistics Questions!

O RANDOM VARIABLES AND DISTRIBUTIONS Normal distribution: Finding a mean or standard deviation D 0/5 Suppose that the times taken for germination for cauliflower seeds are normally distributed with a...

In a certain town 60% of the households own mutual funds, 40% own individual stocks, and 20% own both mutual funds and individual stocks. 1. The proportion of households that own mutual funds but not...

Name: E number: Math 1530 section number Question 1 (2.85 points) Eggs that are contaminated with salmonella can cause food poisoning among consumers. A large egg producer takes an SRS of 200 eggs...

STAT_12A_Practice Score: 3.6/12 3/6 answered Question 1 Questions 1-3: It is a safety hazard for planes to fly if the payload (people, luggage, and fuel) weighs too much. Suppose that a small airline...

4 This assignment will give you taste of how I want certain calculations performed and shown on the upcoming exam. I would like you to perform the required steps as done in the PowerPoint or in...

link are provided , everything should be good. STAT_12A_Practice Score: 3.6/12 3/6 answered Question 2 Score on last try: 0.6 of 1 pts. See Details for more. > Next question You can retry this...

Question 1 If a particular normal distribution has a mean of 150 and a standard deviation of 5, the value 160 is _____ standard deviations away from the mean? a -1 b +1 c -2 d +2 Question 2 The...

1 (1 point) The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pounds. Assuming the weights of catfish are normally...

14:16 9 f 2.00 KB/S 93 Let Us Discover The mean of discrete random variable X is a weighted average of the possible values that the random variable can take. Unlike the sample mean of a group of...

VWX Inc., has sales of $200,000, net income of $35,000, dividend payout of 50%, total assets of $350,000 and target debt-equity ratio of 1.5. If the company grows at its sustainable growth rate in...

The spot price of a commodity is $50 per unit. The continuously compounded interest rate is 6%, the storage costs are 0.5% of the price of asset per annum (continuously compounded). If the 1-year...

The primary difference between a savings account and a money market account is: A . Savings accounts are insured up to $ 1 0 0 , 0 0 0 per account, whereas money market accounts are insured up to $ 2...

Examine the function for relative extrema and saddle points. h(x, y) = x - 3xy - y

Birth weights from Data Set 3 Births in Appendix B. Using Technology to Generate Normal Quantile Plots. In Exercises 1316, use technology to generate a normal quantile plot. Then determine whether...

Lengths of stay from Data Set 3 Births in Appendix B. Using Technology to Generate Normal Quantile Plots. In Exercises 1316, use technology to generate a normal quantile plot. Then determine whether...

White blood cell counts of females from Data Set 1 Body Data in Appendix B. Using Technology to Generate Normal Quantile Plots. In Exercises 1316, use technology to generate a normal quantile plot....

1. If Opening Stock is 10,000, Net Purchases 70,000, Wages 2,500, Carriage inward 500 and Closing Stock 15,000, what is the Manufacturing Cost? (A) 65,000 (B) 83,000 (C) 68,000 (D) 73,000

SkyChefs, Incorporated, prepares in-flight meals for a number of major airlines. One of the company's products is grilled salmon in dill sauce with baby hew potatoes and spring vegetables. During the...

Ory of