7. Which equation, in point-slope form, passes through (3,-1) and has a slope of 2?

35 inches in diameter what is the radius

Masja [62]

Radius = diameter/2

35/2 = 17.5

7 0

3 years ago

A coffee packaging plant claims that the mean weight of coffee in its containers is at least 32 ounces. A random sample of 15 co

Luda [366]

Answer:

We conclude that the mean weight of coffee in its containers is at least 32 ounces which means that the data support the claim.

Step-by-step explanation:

We are given that a coffee packaging plant claims that the mean weight of coffee in its containers is at least 32 ounces.

A random sample of 15 containers were weighed and the mean weight was 31.8 ounces with a sample standard deviation of 0.48 ounces.

Let $\mu$ = mean weight of coffee in its containers.

SO, Null Hypothesis, $H_0$ : $\mu \geq$ 32 ounces {means that the mean weight of coffee in its containers is at least 32 ounces}

Alternate Hypothesis, $H_A$ : $\mu$ < 32 ounces {means that the mean weight of coffee in its containers is less than 32 ounces}

The test statistics that would be used here One-sample t-test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean weight = 31.8 ounces

s = sample standard deviation = 0.48 ounces

n = sample of containers = 15

So, the test statistics = $\frac{31.8 -32}{\frac{0.48}{\sqrt{15} } }$ ~ $t_1_4$

= -1.614

The value of t test statistics is -1.614.

Now, at 0.01 significance level the t table gives critical value of -2.624 at 14 degree of freedom for left-tailed test.

Since our test statistic is more than the critical value of t as -1.614 > -2.624, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean weight of coffee in its containers is at least 32 ounces which means that the data support the claim.

8 0

3 years ago

Ratio of width to length is 2:3 if the length 18 meters what is the width

weeeeeb [17]

Answer:

12

Step-by-step explanation: 18/3=6 6(2)= 12

8 0

2 years ago

Tina is packing for a five-day trip. She has one blue, one red, one white, one green, and one grey t-shirt. Tina will not wear e

agasfer [191]

Answer:

This means that Tina has enough t-shirts for the entire trip and doesn't need to pack any more t-shirts.

Step-by-step explanation:

In total, she has five t-shirts, and she is packing for a five-day trip. Therefore, she has enough shirts to last her the entire trip.

5 0

2 years ago

Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a rando

Zinaida [17]

Answer:

Step-by-step explanation:

Males proportion $p_1 = \frac{163}{532} =0.3064$

Females proportion $p_2 = \frac{203}{589} =0.3447$

$H_0: p_1 = p_2\\H_a: p_1$

(one tailed test for comparison of proportions)

Test statistic = $\frac{p_1-p_2}{p(1-p)\sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$

=-1.3641

Here p= combined proportion = $\frac{163+203}{532+589} \\=0.3291$

p value = 0.0869

Since p >0.05, accept null hypothesis.

The evidence does not suggest a higher proportion of females are annoyed by this behavior

3 0

3 years ago