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2 months ago

The manager of a grocery store estimates that 74% of customers will make a purchase.

Mathematics

1 answer:

PIT_PIT [12.4K]2 months ago

6 0

Answer:

A - For every 100 customers, a cashier should anticipate 26 who do not make a purchase before encountering a buyer.

B - The probability of a purchase is 1/4

Step-by-step explanation:

There's a 74% estimated likelihood that a customer will buy something

If a total of 100 individuals enter the grocery store on any given day,

then 74 % of the visitors

= 74% of 100

= 74 people are likely to make a purchase.

⇒ This means out of 100 visitors, 74 will buy something.

Consequently, the number of individuals NOT buying anything = 100 - 74 = 26

⇒ Thus, 26 people among 100 will NOT make a purchase.

Additionally, 26 equates to 26% of 100

Part A:

So, the cashier can expect 26% of the customers won't buy anything as the percentage of individuals not purchasing stands at 26%.

Thus, in a group of 100 individuals, the cashier can anticipate 26 before finding a buyer.

Part B:

The percentage of customers buying = 74%

The percentage of individuals NOT buying = 26%

Therefore, for every 3 customers making a purchase, there will be 1 who does not buy. Thus, the probability is 1/4

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A study1 conducted in July 2015 examines smartphone ownership by US adults. A random sample of 2001 people were surveyed, and th

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Answer:

a) Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

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

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{688+671}{989+1012}=0.679$

c) $z=\frac{0.696-0.663}{\sqrt{0.679(1-0.679)(\frac{1}{989}+\frac{1}{1012})}}=1.58$

d) In this scenario, we notice that $\hat p_1 > \hat p_2$ thus the conclusion for this case would indicate

Step-by-step explanation:

Information provided

$X_{1}=688$ denote the number of men possessing smartphones

$X_{2}=671$ signify the number of women possessing smartphones

$n_{1}=989$ group of men sampled

$n_{2}=1012$ group of women sampled

$p_{1}=\frac{688}{989}=0.696$ symbolize the proportion of men with smartphones

$p_{2}=\frac{671}{1012}=0.663$ symbolize the proportion of women with smartphones

$\hat p$ denote the pooled estimate of p

z would denote the test statistic

$p_v$ signify the value

Part a

The objective is to evaluate if there is a disparity in smartphone ownership between men and women; the hypothesis statements would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

Part b

The statistic relevant to this case is expressed as:

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

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{688+671}{989+1012}=0.679$

Part c

By substituting the provided information, we find:

$z=\frac{0.696-0.663}{\sqrt{0.679(1-0.679)(\frac{1}{989}+\frac{1}{1012})}}=1.58$

Part d

In this instance, it is evident that $\hat p_1 > \hat p_2$ thus the conclusion for this case would seem

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2 months ago

You were charged interest of $6.31 for purchases (near section 8) why?

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3 months ago

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There is a safety fence around a circular pool with a gate. The gate is 150 cm wide. What is the length of the fence not includi

zzz [12365]

Response:

The fence's length is expressed as 6.28x - 150 cm.

Detailed Breakdown:

Assuming the circular pool has a radius (r) of x cm.

As the pool is circular, its circumference represents the length of the fence. Additionally, subtracting the 150 cm for the gate gives us the actual length of the fence.

Length of fence = Circumference of pool – gate's width.

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3 months ago

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Answer:

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Step-by-step explanation:

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Iron has a negative reduction potential, indicating its tendency to lose electrons and undergo oxidation, and thus it will be at the anode.

$E^{o}_{cell}$ =Reduction potential of cathode - Reduction potential of anode

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Answer:

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