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2 years ago

14

Connor gathered data about the height of customers entering a store and the time that it took them to gather their items and ent

er the checkout line.
Connor's data:

1 answer:

sattari [20]2 years ago

7 0

0.88. you can simply see this by using the right use of the data

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A salesman for a new manufacturer of cellular phones claims not only that they cost the retailer less but also that the percenta

Paraphin [41]

Answer:

$z=\frac{0.111-0.524}{\sqrt{0.292(1-0.292)(\frac{1}{135}+\frac{1}{105})}}=-6.985$

$p_v =P(Z$

Comparing the p value with the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the proportion of defective for the manufacturer is lower than the proportion of defective for the competitor at 5% of significance

Step-by-step explanation:

Data given and notation

$X_{1}=15$ represent the number of defective for the manufacturer

$X_{2}=55$ represent the number of defective for the competitor

$n_{1}=135$ sample for the manufacturer

$n_{2}=105$ sample for the competitor

$p_{PC}=\frac{15}{135}=0.111$ represent the proportion of defective for the manufacturer

$p_{2}=\frac{55}{105}=0.524$ represent the proportion of defective for the competitor

z would represent the statistic (variable of interest)

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

$\alpha=0.05$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if p1<p2, the system of hypothesis would be:

Null hypothesis: $p_{1} - p_{2} \geq 0$

Alternative hypothesis: $p_{1} - p_{2} < 0$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{15+55}{135+105}=0.292$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.111-0.524}{\sqrt{0.292(1-0.292)(\frac{1}{135}+\frac{1}{105})}}=-6.985$

Statistical decision

Since is a left tailed side test the p value would be:

$p_v =P(Z$

Comparing the p value with the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the proportion of defective for the manufacturer is lower than the proportion of defective for the competitor at 5% of significance

4 0

3 years ago

All real numbers y that are less than -8 and at most 0

dalvyx [7]

That’s mathematically impossible.

If the set of numbers are less than -8, they cannot be less than or equal to 0.

Reading a graph wrong is a common mistake. A line pointing right means greater than.

If that’s the case, this problem is an “and” problem, in algebra. The answer is both; -8
or
-8

5 0

3 years ago

A student found the slope of a line that passes through the points (3,15) and (5,9) to be -1/3. what mistake did he make

Vlad [161]

He didn't do it as rise over run, or y2-y1/x2-x1

He did it reverse, which is incorrect.

4 0

3 years ago

Find the area of the shaded region. Use 3.14 for pi.

Mamont248 [21]

What are the answer choices

4 0

3 years ago

Read 2 more answers

Atrain travels at a speed of 58.6 km'hi Express this speed<br>a.ms<br>b. m/min

marishachu [46]

Answer:

16.27

Step-by-step explanation:

if 1000m rep 1km

therefore :

58.6km/h in ms = 58.6km×1000/3600

=16.277 ms

8 0

2 years ago