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3 years ago

Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤53)?

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

5 0

Answer:

Step-by-step explanation:

Use the formula to find the z-score, then go to the table that will give you the probability that the value is less than this z-score.

$z=\frac{53-50}{3}=1$

The probability that the value lies to the left of 1 on a standard bell curve is 84.1345%, or 84%, the third choice down.

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The article "Occurrence and Distribution of Ammonium in Iowa Groundwater" (K. Schilling, Water Environment Research, 2002:177–18

Papessa [141]

Answer: 95% confidence interval for the difference between the proportions would be (1.31, 1.39).

Step-by-step explanation:

Since we have given that

Number of alluvial wells = 349

Number of quaternary wells = 143

Number of alluvial wells that had concentrations above 0.1 = 182

Number of quaternary wells that had concentrations above 0.1 = 112

Average of alluvial wells = 0.27

Standard deviation = 0.4

Average of quaternary wells = 1.62

Standard deviation =1.70

So, 95% confidence interval gives

alpha = 5% level of significance.

$\dfrac{\alpha}{2}=2.5\%\\\\z_{\frac{\alpha}{2}}=1.96$

So, 95% confidence interval becomes,

$(1.62-0.27)\pm 1.96\sqrt{\dfrac{0.4^2}{349}+\dfrac{1.7^2}{143}}\\\\=1.35\pm 1.96\times 0.020\\\\=(1.35-0.040,1.35+0.040)\\\\=(1.31,1.39)$

Hence, 95% confidence interval for the difference between the proportions would be (1.31, 1.39).

6 0

3 years ago

An item that was selling for $72.00 is reduced to 60.00. Find the percent decrease in price. Round your answer to the nearest te

Anestetic [448]

The answer is 16.7 percent

4 0

3 years ago

Plot Five points on the parabola the vertex two points to the left of the vertex and two points to the right of the vertex then

dangina [55]

Answer: disisisissisi disk man

Step-by-step explanation: brobro

8 0

3 years ago

WILL MARK BRAINLIEST AND 23 POINTS

Lubov Fominskaja [6]

The surface area, I believe, is 584,064.

Broken down, the formula is really 312 x 312 x 6

312 x 312 = 97,344 97,344 x 6 = 584,064......... There is your answer.

SA = 584,064

8 0

3 years ago

A state official wants to know which party the voters in his state feel is best qualified to lead the country over the next 10 y

VARVARA [1.3K]

Answer:

1. B

2. C

Step-by-step explanation:

1. B

The sample of any set would be smaller version of a larger group. It is often a subset that contains some or all the characteristics of the main set, or the larger general population. The usage of samples comes into play in statistics when the population sizes of interest are too large for the test to contain all the needed members for it to take place. So, from this question, the sample size is the 325 questionnaires that were returned in the first place.

2. C

I thin the answer is survey with little bias since the voters know what they want. This is because while answering the survey, the voters know who they want to vote for upfront, and didn't need to gave their mind change by anyone on the survey.

7 0

2 years ago