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Suppose that diameters of a new species of apple have a bell-shaped distribution with a mean of 7.45cm and a standard deviation of 0.4cm. Using the empirical rule, what percentage of the apples have diameters that are greater than 7.85cm? Please do not round your answer.

Answers

Answer 1

Answer:

The percentage is 68.26%

Step-by-step explanation:

Before we use the empirical rule , we need to find the value of the z-score

Mathematically;

z-score = (x - mean)/SD

Thus;

z-score = (7.85 - 7.45)/0.4 = 0.4/0.4 = 1

So the percentage we want to calculate now is the percentage of values within 1 standard deviation of the mean

According to the empirical rule, 68.26% of values are within 1 standard deviation of the mean

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Can someone help me with this

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the pooled estimate. Round your answer to the nearest thousandth. n1 = 677 n2 = 3377
x1 = 172 x2 = 654

Answers

Answer:

The calculated value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

Step-by-step explanation:

Given first sample size n₁ = 677

First sample proportion

$p^(-) _(1) = (x_(1) )/(n_(1) ) = (172)/(677) = 0.254$

Given second sample size n₂ = 3377

second sample proportion

$p^(-) _(2) = (x_(2) )/(n_(2) ) = (654)/(3377) = 0.1936$

Null Hypothesis : H₀ : p₁ = p₂.

Alternative Hypothesis : H₁ : p₁ ≠ p₂.

Test statistic

$Z = \frac{p_(1) ^(-)-p^(-) _(2) }{\sqrt{P Q((1)/(n_(1) ) +(1)/(n_(2) )) } }$

where

$P = (n_(1) p_(1) + n_(2) p_(2) )/(n_(1)+n_(2) ) = (677 X 0.254+3377 X 0.1936)/(677+3377)$

P = 0.2036

Q = 1 - P = 1 - 0.2036 = 0.7964

$Z = \frac{0.254- 0.1936 }{\sqrt{0.2036 X 0.7964((1)/(677 ) +(1)/(3377 )) } }$

Z = 3.775

Critical value ∝=0.05

Z- value = 1.96

The calculated value Z = 3.775 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The Two Population proportion are not equal

Help me in 5 mins it is dueA pipe can pump 1000 gallons of water in 4 hours.

How long would it take the pipe to fill a 2500 gallon pool?

4 h
8 h
10 h
25 h

Answers

Answer: 10 hours exactly.

Step-by-step explanation:

Answer:

10h

Step-by-step explanation:Every 4 hrs 1000 is dumped

2500/1000=2.5

2.5 times 4=10

Can someone please help to explain this to me? I have been trying to work at it and have spent time watching multiple videos trying to figure it out, but am unable to figure it out. Any help would be much appreciated! Thank you.

Answers

Answer:

first 1 I think

Step-by-step explanation:

Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. Do not round your interim computations and round your final answers to three decimal places. For subtractive or negative numbers use a minus sign. (Example: -300) y-intercept, b0 = Slope, b1 = MSE = One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model from part (b) suggest that OSH is on target to meet this goal?

Answers

Answer:

a)The data shows a downward trend pattern

Step-by-step explanation:

See attached images

Final answer:

In simple linear regression, the parameters for the line that minimizes the MSE can be found. To determine if a regression model suggests a goal is being met, compare predicted values to the goal value.

Explanation:

In simple linear regression analysis, the parameters for the line that minimizes the Mean Squared Error (MSE) can be found. The y-intercept (b0) and slope (b1) of the line can be calculated using the data. To determine if the regression model suggests that a goal is being met, you would compare the predicted values from the regression model to the goal value. If the predicted values are less than or equal to the goal value, then the goal is being met.

Learn more about Simple Linear Regression here:

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A line with a slope of -1/2 passes thru the point (-4,3)...Which equation represents this line?

Answers

Here you go!! Hope this helps!!!!

Answer: Go to a website called m a t h w a y

Step-by-step explanation:

1. It's really good for all kinds of math problems

2. It lets you answers to one question in different ways to give you the best possible answer!!!

3. IT'S FREE!!!!!!!

Which choice could be modeled by a linear function? A. The amount, y, of radioactive material remaining after x years when decay occurs at rate 30% each year.

B. The amount of money, y, In an account after x years earning 4% interest compounded annually.

C. The height, y, of a ball after bouncing x times, if each bounce reaches 2/3 the previous height.

D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute.

Answers

Final answer:

The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute can be modeled by a linearfunction. This is because the cost increases at a constant rate with the number of minutes used. In contrast, options A, B, and C involve non-constant rates of change.

Explanation:

The answer is D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute. This is a linear function because it describes a constant rate of change, as the cost changes linearly with the number of minutes used. Each additional minute costs the same amount: 4 cents. So, if we plot the minute (x) versus cost (y), we would get a straight line. This is different from the other options where the rate of change is not constant. For instance, options A, B, and C describe scenarios with exponential decay or growth.

Learn more about Linear Function here:

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Answer:

Step-by-step explanation:

D is linear because it increases the same amount each time

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