Suppose you are determining the growth rate of two species of plants. Species A is 12 cm tall and grows 2 cm per month. Species

Answer:

There is ample evidence to substantiate the assertion that the standard deviation of the duration all women take to wash their hair in the morning is 15 seconds

Step-by-step explanation:

We must first articulate the hypotheses while comprehending the statement’s context. The assertion claims that the standard deviation of time spent washing hair in the morning by all women is 15 seconds. In mathematical symbols, we express this as follows:

σ = 15

The presence of an equality sign qualifies this assertion as our null hypothesis;

H0: σ = 15

Our alternative hypothesis is the negation of the prior hypothesis;

Ha: σ ≠ 15

We learn that the preliminary outcome of the test does not reject the null hypothesis. In simple terms, this indicates that we do not reject the assertion that the standard deviation of time all women spend washing their hair in the morning is, in fact, 15 seconds, as this assertion represents our null hypothesis. A failure to reject a hypothesis during testing signifies that there is enough evidence to support it. Hence, there is enough evidence to affirm that the standard deviation of time all women spend washing their hair in the morning is 15 seconds

Answer:

The correct choice is (C).

Step-by-step explanation:

The p-value is defined as the probability, under the null hypothesis (H₀), of obtaining a result that is equal to or greater than the actual observed result in a statistical hypothesis test.

A small p-value (usually ≤ 0.05) indicates strong evidence against the null hypothesis (H₀), resulting in its rejection.

A larger p-value (> 0.05) indicates weak evidence against H₀, which leads to failure in rejecting the null hypothesis.

A nutritionist has concerns that the actual average calorie content of the french fries served at a fast-food restaurant exceeds 120 calories.

The testable hypothesis can be stated as:

H₀: The actual average calorie count in the french fries is 120 calories, meaning μ = 120.

Hₐ: The average calorie count in the french fries exceeds 120 calories, meaning μ > 120.

The statistical test is as follows:

The average calorie count among the 35 sampled small orders of fries is:

Consequently, the p-value is:

p-value = 0.00093

In summary,

The interpretation of the p-value can also include the probability of observing a mean of 84.4 calories or less when the population mean is established at 120 calories.

*

*Given the symmetry of the normal distribution, P(Z < -z) = P(Z > z).

Thus,

Therefore, the appropriate choice is (C).

Answer:

Three customers purchased all three newspapers.

Step-by-step explanation:

Let D, O, and N stand for the three newspapers.

D = The Daily Times

O = The Observer

N = The New Nigeria.

According to the provided information,

We can deduce that:

Applying this formula, we discover

Hence, three customers bought all three papers.

Answer:

  The y-intercept represents the number of minutes allocated for creating vegetable cans when no time is dedicated to fruit cans.

Step-by-step explanation:

The problem indicates that y refers to the minutes spent on vegetable can production, and the y-intercept indicates the y-value where x equals zero.

Thus, the y-intercept signifies the duration for producing vegetable cans when no time has been utilized for fruit can production.

Answer:

F(t) = 10 + 5(t)

Step-by-step explanation:

The complete question is as follows;

Anumeha is mowing lawns for a summer job. For each lawn she mows, she charges a $10 starting fee plus an hourly rate. For example, her fee for a 5-hour job is $35. Let f(t) denote Anumeha's fee for a job f (in dollars) based on how many hours (t) were needed to finish it. Write the formula for this function.

Solution

We aim to establish the formula F(t) representing the fee Anumeha charges per job.

Key to formulating this function is understanding the constant charge she applies per job.

We know she earns $35 for mowing for 5 hours.

Therefore, the constant fee can be deduced as follows;

Since it’s a $10 starting fee along with an hourly rate;

35 = 10 + 5(x)

where x refers to the hourly rate

35 = 10 + 5x

5x = 35-10

5x = 25

x = 25/5

x = $5

This indicates that she charges a constant fee of $5 per hour

Thus, we can now write the equation.

F(t) = 10 + 5(t)

where t represents the number of hours spent on each job