![joshtrice5879](/avatars/13053.jpg)
joshtrice5879
05.05.2020 •
Mathematics
A random sample of monarch butterflies and a random sample of swallowtail butterflies were selected, and the difference in the average flying speed for each sample was calculated. A two-sample t-test for the difference in means was conducted to investigate whether the speed at which monarchs fly, on average, is faster than the speed at which swallowtails fly. All conditions for inference were met, and the p-value was given as 0.072.
Which of the following is a correct interpretation of the p-value?a. The probability that monarchs fly faster than swallowtails is 0.072.b. The probability that monarchs and swallowtails fly at the same speed is 0.072.c. Assuming that monarchs and swallowtails fly at the same speed on average, the probability of observing a difference equal to or greater than the sample difference is 0.072.d. Assuming that monarchs fly faster than swallowtails on average, the probability of observing a difference equal to or greater than the sample difference is 0.072.e. Assuming that monarchs fly faster than swallowtails on average, the probability of the monarchs and swallowtails flying at the same speed is 0.072.
Solved
Show answers
More tips
- S Style and Beauty Ultimate Guide on How to Care for Suede Shoes...
- S Sport Running: How to Do It Right?...
- F Food and Cooking How to Cook Spaghetti Right – Secrets and Tips...
- P Philosophy Personal attitude towards Confession: how to prepare and undergo the procedure correctly?...
- H Health and Medicine Flu: How to Recognize It by the First Symptoms?...
- F Food and Cooking How to Sober Up Quickly? Important Facts and Tips...
- H Health and Medicine How to Properly Take a Blood Sugar Test?...
- H Health and Medicine Simple and Effective: How to Get Rid of Cracked Heels...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
Answers on questions: Mathematics
- M Mathematics What are the roots of the equation 9x2 + 30x + 29 = 0 in simplest a + bi form?...
- M Mathematics Q1: A square-based pyramid has a base with side length 15cm. The perpendicular height of the pyramid is 10cm. Calculate a)Volume of the pyramid. b)Slant Height of the pyramid...
- M Mathematics An amateur cyclist relay race takes place in the evening. each team has 6 riders. the prize for winning is £963. how much will each person get in the winning team if the prize...
- M Mathematics Suppose a 5-minute overseas call costs $5.91 and a 10-minute call costs $10.86. The cost of the call and the length of the call are related. What is the cost y of a call of x...
- M Mathematics Strongest anime character...
- M Mathematics *HOW TO GET A FREE BRAINLIEST AND POINTS IN 10 MINUTES* THINK UR NOT SMART? READ ON AND FOLLOW THESE 5 SIMPLE STEPS TO FIND OUT HOW TO GET THOSE FREE CROWNS STEP 1. CREATE 2...
- M Mathematics Dwayne bought 3 yards of wrapping paper how many inches is that?...
- C Computers and Technology https://meetingsamer6.webex.com/webappng/sites/meetingsamer6/meeting/download/3e38f4e32612b53d62dc3b335eadc4cd...
- M Mathematics Determine the intersection points of the circle and line algebraically. Use a graphing utility to verify your calculations. You must show all your work in order for your answers...
Ответ:
Option C is the correct answer
Step-by-step explanation:
Let μ1 be the average flying speed of monarch butterflies and let μ2 be the average flying speed of swallowtail butterflies.
Also, let n1 be the sample size of monarch butterflies and let n2 be the sample size of swallowtail butterflies.
Thus, defining the hypothesis, we have;
Null hypothesis;H0: μ1 = μ2
Alternative hypothesis; H1: μ1 > μ2
In this case, the p-value = P_H0[t_(n1 + n2 - 2) ≥ t] where t is the test statistic based on tbe differences of sample mean,that follows t distribution with degrees of freedom (n1 + n2 - 2)
With respect to the question, the probability of the monarchs and swallowtails flying at the same speed is 0.072.
Thus,
P_H0[t_(n1 + n2 - 2) ≥ t] = 0.072
We can therefore conclude that in this case, the p-value is the probability of observing a difference equal to or greater than the sample difference under the null hypothesis which states that μ1 = μ2, which is 0.072
Thus, option C is the correct answer
Ответ:
The correct option is;
b. The probability that monarchs and swallowtails fly at the same speed is 0.072
Step-by-step explanation:
The p- value indicates the probability of which the hypothesis tested, the null hypothesis is true and it is compared against a given confidence level. Whereby the p-value is more than the given confidence level then it indicates that the null hypothesis assumption is correct.
Therefore, whereby the null hypothesis tests proposes the equality of the two means, then at a 5% confidence level or α = 0.05, whereby p-value = 0.072 > α = 0.05 we accept the null hypothesis and state that the probability that monarchs and swallowtails fly at the same speed is 0.072.
Ответ:
the like terms are - q and (3/7)q
Step-by-step explanation:
3.6 p minus q minus 4 + StartFraction r over 3 EndFraction + StartFraction 3 over 7 EndFraction q = 3.6p - q- 4 + r/3 + (3/7)q
The like terms are the terms with same letters, alphabet .
For the above expression, the like terms are -q and (3/7)q
All others do not have a like term.