X=3 and y=(-2), find the value of 2x -- 3y

A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated fro

Veronika [31]

Answer:

There is no sufficient evidence to reject the company's claim at the significance level of 0.05

Step-by-step explanation:

Let $\mu$ be the true mean weight per apple the company ship. We want to test the next hypothesis

$H_{0}:\mu=120$ vs $H_{1}:\mu\neq 120$ (two-tailed test).

Because we have a large sample of size n = 49 apples randomly selected from a shipment, the test statistic is given by

$Z=\frac{\bar{X}-120}{\sigma/\sqrt{n}}$ which is normally distributed. The observed value is

$z_{0}=\frac{122.5-120}{12/\sqrt{49}}=1.4583$ . The rejection region for $\alpha = 0.05$ is given by RR = {z| z < -1.96 or z > 1.96} where the area below -1.96 and under the standard normal density is 0.025; and the area above 1.96 and under the standard normal density is 0.025 as well. Because the observed value 1.4583 does not fall inside the rejection region RR, we fail to reject the null hypothesis.

5 0

3 years ago

50 pts please help me due today links or incorrect answers will get reported

Bumek [7]

Using the normal distribution, the area underneath the shaded region <u>between the two z-scores</u> is given by:

C. 0.6766.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

Hence, for this problem, the area is the <u>p-value of z = 0.75 subtracted by the p-value of z = -1.3</u>.

Looking at the z-table, the p-values are given as follows:

z = 0.75: 0.7734.

z = -1.3: 0.0968.

Then:

0.7734 - 0.0968 = 0.6766.

Which means that option C is correct.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

3 0

2 years ago

Find the product or (x^2+4x-3)(2x^2+x+6)

Stells [14]

The answer is
3x^2+5x+3

5 0

3 years ago

What is the area of the quadrilateral

adell [148]

lsumasAnswer:o que mi

tienedos que lao de rumel npor edes o diviy ldo a laedqude

Step-by-step explanation:

numero de lados por eldivides las medidas y o todasmassu

7 0

2 years ago

Find the value of x and y

Romashka [77]

Step-by-step explanation:

$\triangle ABC \sim\triangle DEF..(Given) \\ \therefore \frac{AB}{DE} =\frac{BC}{EF}=\frac{AC}{DF}..(CSST)\\\\\therefore \frac{6}{4} =\frac{7}{x}=\frac{8}{y}\\\\ \therefore \frac{6}{4} =\frac{7}{x} \\ \therefore \: x = \frac{7 \times 4}{6} \\ \\\therefore \: x = \frac{28}{6} = \frac{14}{3} \\ \\ \huge \red{ \boxed{ \therefore \: x = \frac{14}{3} }} \\ \\ \because \: \frac{6}{4} =\frac{8}{y} \\ \\ \therefore \:y = \frac{4 \times 8}{6} \\ \\ \therefore \:y = \frac{32}{6} \\ \\ \huge \purple{ \boxed{ \therefore \:y = \frac{16}{3} }}\\ \\$

6 0

3 years ago

X=3 and y=(-2), find the value of 2x -- 3y​

X=3 and y=(-2), find the value of 2x -- 3y