Pete is choosing his clothes for the day. His bottoms will be either cargo shorts (C) or jeans (J). His top will be a T-

Bottles of mango juice are assumed to contain 275 milliliters of juice. There is some variation from bottle to bottle because th

pentagon [3]

Answer:

Step-by-step explanation:

The mean of the set of data given is

Mean = (275.4 + 276.8 + 273.9 + 275.0 + 275.8 + 275.9 + 276.1)/7 = 275.56

Standard deviation = √(summation(x - mean)^2/n

n = 7

Summation(x - mean)^2 = (275.4 - 275.56)^2 + (276.8 - 275.56)^2 + (273.9 - 275.56)^2 + (275.0 - 275.56)^2 + (275.8 - 275.56)^2 + (275.9 - 275.56)^2 + (276.1 - 275.56)^2 = 5.0972

Standard deviation = √(5.0972/7) = 0.85

We would set up the hypothesis test.

For the null hypothesis,

µ = 275

For the alternative hypothesis,

µ ≠ 275

This is a 2 tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 7

Degrees of freedom, df = n - 1 = 7 - 1 = 6

t = (x - µ)/(s/√n)

Where

x = sample mean = 275.56

µ = population mean = 275

s = samples standard deviation = 0.85

t = (275.56 - 275)/(0.85/√7) = 1.74

We would determine the p value using the t test calculator. It becomes

p = 0.132

Because the p-value of 0.132 is greater than the significance level of 0.05, we would fail to reject the null hypothesis. We conclude the data does not provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.

8 0

3 years ago

Can someone please help me with this help me please!!!

Katen [24]

Answer:

30 degrees

Step-by-step explanation:

4 0

3 years ago

Kyla spends 60 Minutes of each day exercising. Let d be the number of days that Kyla exercises, and let m represent the total nu

stealth61 [152]

Answer: There is linear relationship between the number of days that Kyla exercise in the total minutes that she exercises.

The independent variable is 'd' and m is the dependent variable which depends on the number of days she exercise.

The linear equation for the situation is given by

$m=60d$

Step-by-step explanation:

Let d be the number of days that Kyla exercises, and let m represent the total numbers of minutes she exercise.

Kyla spends 60 Minutes of each day exercising which is constant .

Then the total numbers of minutes she exercise(m) in d days is given by

$m=60d$ which is the linear equation.

The relationship between the number of days that Kyla exercise in the total minutes that she exercises is linear, where d is the independent variable, and m is the dependent variable which depends on the number of days she exercise.

[ad d increases m increases by rate of 60 minutes per day]

The linear equation for the situation is given by

$m=60d$

7 0

3 years ago

Please help ASAP<br><br><br>Simplify <img src="https://tex.z-dn.net/?f=%5Csqrt%7B.64x%5E2%7D" id="TexFormula1" title="\sqrt{.64x

Brilliant_brown [7]

Answer: 4/5x

Explanation: simply the expression, then convert it and calculate your answer.

3 0

3 years ago

10. You just hung a picture twelve inches above the wall trim. Your friend thinks the picture looks

muminat

Answer:

The angles measured between the shadow and the wall trim and the shadow and the top or bottom of the picture should be equal if the picture is level

Step-by-step explanation:

Whereby the picture is 12 inches above the wall trim and the Sun is casting a shadow on the wall, therefore, the edges of the shadow of a straight edged object is straight

If the picture is level, the shadow cast by the sun is transversal to the wall trim and the line formed by extending the bottom or top of the picture in the direction of the shadow. That is, if the picture is parallel, the shadow cast by the Sun on the wall is transversal to the picture and the wall trim if or when the shadow eventually crosses the picture

With the protractor, the angle between the shadow and the wall trim and the shadow and the top or bottom is measured

The angles measured should be the same if the picture is level.

5 0

3 years ago