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sdas [7]
3 years ago
6

The mean housing price for an area is $135,000 with a standard of $45,000 but is not normally distributed. According to the Cent

ral Limit Theorem what would we need to make sure is true about our sample in order to use normal distribution
Mathematics
1 answer:
kramer3 years ago
7 0

Answer:

A sample size greater than 30

Step-by-step explanation: The central limit theorem proffers the conditions necessary to obtain a normal or bell shaped distribution. It defines normal distribution in terms of mean, standard deviation and sample size. The sample size is a very important factor in determining the shape of a distribution.

Thus with a population having mean and standard deviation stated, in other to make use of or assume normal distribution, the sample size must be large. According tho the central limit theorem, a size of greater than 30 is deemed to be large enough. As the Same size increases, the sample mean converges to the value of the population mean.

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the specification for a plastic handle calls for a length of 6.0 inches +- .2 inches. The standard deviation of the process is e
erastova [34]

Answer:

a)

USL = 6.2 inches

LSL = 5.8 inches

b) Cp = 1.33

Cpk = 0.67

c)

Yes it meets all specifications

Step-by-step explanation:

The specification for a plastic handle calls for a length of 6.0 inches ± .2 inches. The standard deviation of the process is estimated to be 0.05 inches. What are the upper and lower specification limits for this product? The process is known to operate at a mean thickness of 6.1 inches. What is the Cp and Cpk for this process?   Is this process capable of producing the desired part?

Given that:

Mean (μ) = 6.1 inches, Standard deviation (σ) = 0.05 inches and the length of the plastic handle is 6.0 inches ± .2

a) Since the length of the plastic handle is 6.0 inches ± .2  = (6 - 0.2, 6 + 0.2)

The Upper specification limits (USL) = 6 inches + 0.2 inches = 6.2 inches

The lower specification limits (LSL) = 6 inches - 0.2 inches = 5.8 inches

b) The Cp is given by the formula:

Cp=\frac{(USL-LSL)}{6\sigma} =\frac{(6.2-5.8)}{6*0.05} =1.33

The Cpk is given by the formula:

c)

The upper specification limit lies about 3 standard deviations from the centerline, and the lower specification limit is further away, so practically all units will meet specifications

Cpk=min(\frac{USL-\mu}{3\sigma},\frac{\mu -LSL}{3\sigma})=min(\frac{6.2-6.1}{3*0.05},\frac{6.1-5.8}{3*0.05})=min(0.67,2)=0.67

7 0
3 years ago
A mechanic has a radiator hose that measures 32 feet long. It needs to be cut into pieces equaling 5 feet 3 inches. How many who
kirza4 [7]

Answer:

6 pieces

Step-by-step explanation:

6x5=30

6x3=18

18-12=6

the total would be 31ft and 6 inches

6 0
4 years ago
Read 2 more answers
3(x-12)=15 what number is x fist to answer gets brainlest
Bingel [31]

Answer:

x = 17

Step-by-step explanation:

3(x-12)=15

->

x-12+12=5+12

7 0
3 years ago
Solve for X in circle with center O
andreev551 [17]
D I think so do not get mad if I am wrong
5 0
3 years ago
Please help seems easy just can’t figure out the answer
madreJ [45]

Answer:

b is 125

Step-by-step explanation:

8 0
3 years ago
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