Answer:
Roland is right, he can be 95% sure that average gas prices have gone up since the same time last year.
Step-by-step explanation:
Let μ be average gas price around Syracuse.
Then hypotheses are:
μ = $2.68
μ > $2.68
Then test statistic can be calculated as:
z=
where
- X is the Roland's calculated average gas prices of 50 gas stations ($2.74)
- M is the average average gas prices in the entire of Syracuse last year
- s is the standard deviation ($0.11)
Then z=
≈ 3.86
Since P-value of test statistic ≈ 0.00006 <0.05 (significance level), we can reject the null hypothesis.
Answer:
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
Step-by-step explanation:
Here is the work along with the answer to the problem.
Answer:
1/ 8
Step-by-step explanation:
Given that:
Number of red cards in deck = 26
Number of diamonds in deck = 13
Number of cards in deck = 52
Recall :
Probability = required outcome / Total possible outcomes
Probability of choosing a red :
P(red) = 26 / 52 = 1/2
With replacement :
Probability of diamond :
P(diamond) = 13 / 52 = 1/4
Hence,
Probability of first card red, then second card diamond equals
P(red) * P(diamond)
1/2 * 1/4
= 1/8
