Rent for a 3-bedroom apartment is regularly 936 per month. Apartment management is now offering one month free for 12- month lea

Đáp án:

Giải thích từng bước:

Response:

Maureen's null hypothesis is, H₀: p₁ ≥ p₂.

Detailed explanation:

Maureen McIlvoy, as the owner and CEO of a mail-order business specializing in windsurfing gear, is scrutinizing the order fulfillment processes in her warehouses. Her objective is to achieve a 100% shipment rate of orders within 24 hours. Upon examining her warehouse operations, she discovers that both the East coast and West coast warehouses have not met this goal, although the East Coast warehouse has consistently outperformed its counterpart.

To verify this finding, Maureen’s team randomly sampled 200 orders from the West Coast warehouse (population 1) and 400 from the East Coast warehouse (population 2).

Of the sampled 200 orders from the West Coast warehouse, 190 were delivered within the specified time. In contrast, 372 out of 400 orders from the East Coast warehouse were processed within 24 hours.

The hypotheses can be formulated as followed:

H₀: The proportion of timely shipments from the East Coast does not exceed that from the West Coast warehouse, thus, p₁ ≥ p₂.

Hₐ: The proportion of timely shipments from the East Coast warehouse is indeed greater than that from the West Coast warehouse, stated as p₁ < p₂.

Thus, Maureen's null hypothesis becomes, H₀: p₁ ≥ p₂.

Answer:

Carmen's estimate is too low, since rolling 200 times results in a total of 50.

Step-by-step explanation:

Initially, we will define the sample space for this scenario.

The sample space is Ω = {1,2,3,4,5,6,7,8}

For the event A: "Rolling an 8-sided die to get a multiple of 4"

The probability for event A is

This is because there are two multiples of 4 (4 and 8) out of a total of eight numbers (1 through 8).

Next, considering the random variable X: "Total count of multiples of 4 if she rolls an 8-sided die 200 times"

X can be described as following a Binomial distribution.

X ~ Bi (n,p)

X ~ Bi (200,)

Where n is the number of rolls and p is the probability of success, defined as rolling a multiple of 4.

The mean for this variable is

Thus, we conclude that Carmen's prediction is low, as rolling 200 times yields 50.

Answer:

310

Step-by-step explanation:

The highest possible number is achieved when each household has just one appliance. When calculating the total, we find ...

60 + 85 + 70 + 95 = 310

The maximum possible number of families is 310.