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The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean weight of 56 gm. A random sample

oksano4ka [1.4K]

Answer:

$t=\frac{55.82-56}{\frac{0.77}{\sqrt{49}}}=-1.636$

Step-by-step explanation:

Data given and notation

$\bar X=55.82$ represent the sample mean

$s=0.77$ represent the standard deviation for the sample

$n=49$ sample size

$\mu_o =56$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is less than 56, the system of hypothesis would be:

Null hypothesis: $\mu \geq 56$

Alternative hypothesis: $\mu < 56$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{55.82-56}{\frac{0.77}{\sqrt{49}}}=-1.636$

4 0

3 years ago

According to the University of Nevada Center for Logistics Management, 6% of all merchandise sold in the United States gets retu

KatRina [158]

Answer: 0.1

Step-by-step explanation:

Given : A Houston department store sampled 80 items sold in January and found that 8 of the items were returned.

In other words, sample size : n=1040

Number of items returned : x= 8

Let p be the proportion of items returned for the population of sales transactions at the Houston store.

As per sample , the sample proportion of items returned for the population of sales transactions at the Houston store is :

$\hat{p}=\dfrac{x}{n}=\dfrac{8}{80}=0.1$

As we know that , the sample proportion is the best estimate of the population proportion.

Therefore,a point estimate of the proportion of items returned for the population of sales transactions at the Houston store is 0.1.

8 0

3 years ago

Help me please this is due tommorow morning

nataly862011 [7]

Answer:

E: (2, -1)

F: (3, -1)

G: (3, -2)

H: (2, -2)

Step-by-step explanation:

Reflect all coordinates over an x-axis

Because you are reflection 180 degrees over the x axis, the y-axis is going to stay the same (because you are not moving the square left or right. When reflecting over axis always add the same amount you took away from the other side, if that makes any sense.

7 0

3 years ago

Justify each step of the solution by stating the property that was used to get to each step.

trapecia [35]

For this case we have the following expression:

$4.5 (8-x) + 36 = 102-2.5 (3x + 24)$

Applying distributive property to the terms within parentheses we have:

$36-4.5x + 36 = 102-7.5x-60$

We add similar terms on both sides of equality considering that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

$72-4.5x = 42-7.5x$

We add 7.5x to both sides of equality:

$72 + 3x = 42$

We subtract 72 from both sides of equality:

$3x = -30$

We divide between 3 on both sides of equality

$x = -10$

ANswer:

Distributive property

Add similar terms

Equality property of the sum

Equality subtraction property

Equality property of the division

3 0

3 years ago

The distance from P to Q is four times the distance from Q to R. The distance from p to r is 120 metres. What is the distance fr

Leviafan [203]

|----------------------------------120 m ------------------------------|

|--------------|--------------|--------------|--------------|--------------|
P Q R

Distance from P to R = 120m

120 ÷ 5 = 24m

The distance from Q to R is 24m.

4 0

3 years ago

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