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Cerrena
12 days ago
14

A streaming music site changed its format to focus on previously unreleased music from rising artists. The site manager now want

s to determine whether the number of unique listeners per day has changed. Before the change in format, the site averaged 131,520 unique listeners per day. Now, beginning three months after the format change, the site manager takes a random sample of 30 days and finds that the site has an average of 124,247 unique listeners per day. The manager finds that the p-value for the hypothesis test is approximately 0.0743. How would you interpret the p-value?
Mathematics
1 answer:
lawyer [9.2K]12 days ago
7 0

Answer:

Step-by-step explanation:

It was noted that a music streaming platform modified its format to highlight previously unreleased tracks from emerging artists. The site manager is now aiming to assess whether the daily unique listener count has changed.

The hypothesis is set

H_0: Mean 1- Mean 2 =0\\H_a: Mean 1 - Mean 2 \neq 0

(A two-tailed test for mean difference)

The test statistic is calculated, and the p-value turns out to be 0.0743

Assuming a significance level of 5%, we observe that p-value = 0.0743>0.05

Thus, we accept the null hypothesis.

i.e. there is no statistically significant alteration in the average number of daily unique listeners

The p-value serves as an indicator of the extremity of the observed data. If p is lower than alpha, we thus reject H0; otherwise, we accept it.

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Maddy is carrying a 555 liter jug of sports drink that weighs 7.5\text{ kg}7.5 kg7, point, 5, start text, space, k, g, end text.
PIT_PIT [9117]

Answer:

w/2 = 7.5/5

3kg

Here's the detailed explanation:

Remaining question below:

Which proportion could Maddy utilize to solve this issue?

a. w/2 = 7.5/5

b. w/7.5 = 5/2

Solve the proportion to determine the weight of a 2 liter jug.

_____kg

A 5-liter container of sports drink weighs 7.5kg

A 2-liter jug of this drink will weigh x kg

Finding w

Ratio of weight to volume

7.5kg: 5liters translates to 7.5/5

wkg: 2 liters means w/2

Establishing equivalent ratios

7.5 / 5 = w / 2

Cross-multiplying gives

7.5*2=5*w

15=5w

Dividing both sides by 5 results in

w=3

w=3kg

Thus, the weight of the 2-liter sports drink jug is 3kg

6 0
18 days ago
Read 2 more answers
Point T is the midpoint of RS, W is the midpoint of RT, and Z is the midpoint of WS. If the length of TZ is x, find the lengths
PIT_PIT [9117]

Let RS be denoted as y.

Given that T is the midpoint of RS, this results in RT = TS = \frac{y}{2}

And W acting as the midpoint of RT, leads to

thus RW = WT = \frac{\frac{y}{2} }{2} = \frac{y}{4}

Given that Z is the midpoint of WS.

Meaning WZ = ZS = \frac{WS}{2} = \frac{WT+TS}{2} = \frac{(\frac{y}{4} +\frac{y}{2} )}{2} =\frac{3y}{8}

Consequently, TZ = TS - ZS = \frac{y}{2} -\frac{3y}{8} = \frac{4y-3y}{8} = \frac{y}{8}

However, TZ is defined as x.

Thus, \frac{y}{8} = x

y = 8x = RS.

A) Length of RW = \frac{y}{4} = \frac{8x}{4} = 2x

B) Length of WZ = \frac{3y}{8} =\frac{3*8x}{8} = 3x

C) Length of RS = y = 8x

D) Length of ZS = WZ = 3x.

An image is provided for clarification.

8 0
4 days ago
You just received an insurance settlement offer related to an accident you had six years ago. The offer gives you a choice of on
AnnZ [9099]

answer:

Detailed explanation:

Option A: $1,565 monthly over 72 months

The total comes to $112,680

Option B: $1,012 each month for 10 years,

which is the same as 120 months

Thus, the total amount received is 1012×120

equaling $121,440.

Option C:

Receive $100,000 in a single payment.

All the details presented are accurate.

However,

As the individual has no preference whether to take the money personally or let it go to an heir, we can disregard the lump sum payment option of $100,000.

Furthermore, as they are willing to wait and are indifferent about who benefits from the insurance payout, the 72-month option can also be overlooked.

Therefore, choosing the second option is advisable since it provides the highest total and the most payments over time.

Waiting for ten years will yield $121,440.

4 0
29 days ago
Many gas stations give a discount for using cash instead of a credit card. A gas station gives a discount of 10 cents per gallon
babunello [8412]

Response:

2.33 $

Detailed breakdown:

10x14=140 cents / 2.33$

4 0
19 days ago
According to the U.S. Census Bureau (2016), a substantial pay gap still exists. The average American man, with an advanced colle
Leona [9271]

Answer:

The earnings gap, over a career spanning 30 years, between men and women totals $1,200,150

Step-by-step explanation:

Calculated annually.

The typical male earns $90,761 each year.

The typical female earns $50,756 per annum.

Therefore, the annual difference is:

90,761 - 50,756 = 40,005

Across 30 years:

30*40,005 = 1,200,150

The earnings gap over a 30-year career, when comparing men and women, is $1,200,150

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1 month ago
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