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MissTica
2 months ago
15

ACME Manufacturing claims that its cell phone batteries last more than 32 hours on average in a certain type of cell phone. Test

s on a random sample of 18 batteries showed a mean battery life of 37.8 hours with a population standard deviation of 10 hours. Is the mean battery life greater than the 32 hour claim? Answer the following questions using a significance level of alpha = 0.05.
Mathematics
1 answer:
lawyer [12.5K]2 months ago
5 0
I can assert that the actual battery life exceeds the claimed 32 hours. The process undertaken involved a null hypothesis and an alternate hypothesis. We assessed the test statistic, factoring in the mean, standard deviation, and sample size. Our observations suggest a greater mean time of 37.8, with a probability assessment reflecting significant evidence to support the claim of increased battery life. The findings indicate a p-value demonstrating statistical significance, allowing us to affirm that battery life surpasses the initial claim.
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One student from a high school will be selected at random. Let A be the event that the selected student is a student athlete, an
Inessa [12570]

Answer:

0.32

Step-by-step explanation:

P(B|A) = P(A∩B) / P(A)

0.25 = 0.08 / P(A)

P(A) = 0.32

8 0
3 months ago
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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
babunello [11817]

Response:

Each associate incurs a cost of $700 daily for the client, meaning that 'a' associates will cost the client 700a dollars each day. For each partner, the charge is $1500 daily, so 'p' partners will accumulate a cost of 1500p dollars daily. The cumulative bill amounts to 700a + 1500p = $14100:

700a + 1500p = 14100

700a + 1500p = 14100

Given that there are a total of 11 lawyers assigned (associates and partners), the equation a + p must equal 11.

a + p = 11

a + p = 11

\underline{\text{Formulate System of Equations:}}

Formulate System of Equations:

​

700a + 1500p =

700a + 1500p = 14100

14100

a + p = 11

11

8 0
3 months ago
You paid $36.20 for a sweater that originally cost $90.50. What percentage of the original price was the sweater on sale for?You
tester [12383]
The result I found is 32.761%. Percentage represents any fraction expressed out of 100. It's calculated using the formula: If A is to be expressed as a percentage of B, the formula is A/B * 100. In this case, the paid price for the sweater is $36.20 and the original price is $90.50. We endeavor to find out what percentage reflects the sale price of the sweater. Mathematically, this can be framed as what is 36.20% of 90.5, which translates to (price paid/original price) * 100, and mathematically results in ($36.20/$90.50) * 100 = 32.761. Thus, this indicates that the sweater was sold for 32.761% off its original price.
4 0
2 months ago
A nationwide survey of 100 boys and 50 girls in the first grade found that the daily average number of boys who are absent from
Leona [12618]
The formula to calculate the difference between two standard deviations of populations n1 and n2 is:
sigma (difference)=√(sigma1/n1 + sigma2/n2). For this scenario:

sigma(d)= √(49/100 + 36/50)

Thus, the calculated standard deviation of the difference equals 1.1.

6 0
2 months ago
Read 2 more answers
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