In Exercise #13 above, how many different combinations would be possible if the three numbers do not have to be different (for e

Response:

It is inferred that the authors of the sonnets belong to a certain poet from the Elizabethan era.

Step-by-step breakdown:

The details provided in the question are as follows:

Population mean, μ = 8.9

Sample mean, = 10.2

Sample size, n = 6

Alpha, α = 0.05

Population standard deviation, σ = 2.5

Initially, we formulate the null hypothesis and the alternative hypothesis

To conduct this test, we utilize the One-tailed z test.

a) Equation:

By substituting in all relevant values, we determine:

Next,

b) The p-value is computed using the z-table.

P-value = 0.1003

The p-value surpasses the alpha of 0.05

c) Because the p-value exceeds the alpha threshold, there is insufficient evidence to dismiss the null hypothesis, thereby supporting the null hypothesis.

Consequently, it is concluded that the authorship of the sonnets belongs to a particular Elizabethan poet.

Answer:

You need to purchase 3 shirts to be able to use your coupon.

Step-by-step explanation:

Each shirt originally costs $17.99.

There is a 20% discount on this specific brand of shirts.

$17.99 × 0.2 = $3.60 (discount per shirt)

Subtracting the discount from the original price:

$17.99 - $3.60 = $14.39 (price per shirt after discount)

To qualify for the $10 off coupon which requires a $40 minimum purchase:

$40 ÷ $14.39 ≈ 2.779, rounded up to 3 shirts

Therefore, you must buy 3 shirts.

3 shirts × $14.39 = $43.17, surpassing the $40 minimum needed to apply the $10 discount.

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