Question

In: Statistics and Probability

A turtle believes that the number of pellets he receives at each meal is approximately normal...

A turtle believes that the number of pellets he receives at each meal is approximately normal with unknown mean and variance. Data from the previous 24 meals yields a sample mean of 6.79 and sample standard deviation of 0.66.

5. He suspects that he is receiving less than 7 sticks per meal, on average. Is there enough evidence, at significance level ? = 0.05, to support his suspicion? Also, give a range for the p-value of the test.

6. Further, the turtle suspects that the standard deviation of the number of sticks he receives per meal is greater than 0.5. Is there enough evidence, at significance level ? = 0.01, to support this suspicion? Also, give a range for the p-value of the test.

Solutions

Expert Solution


Related Solutions

A local tire dealer wants to predict the number of tires sold each month. He believes...
A local tire dealer wants to predict the number of tires sold each month. He believes that the number of tires sold is a linear function of the amount of money invested in advertising. He randomly selects 6 months of data consisting of tire sales (in thousands of tires) and advertising expenditures (in thousands of dollars). Based on the data set with 6 observations, the simple linear regression model yielded the following results. ?X =24 ?X2=124 ?Y  = 42 ?Y2 =338...
SoakNSun Swim Park sells individual and family tickets. With a​ ticket, each person receives a​ meal,...
SoakNSun Swim Park sells individual and family tickets. With a​ ticket, each person receives a​ meal, three​ beverages, and unlimited use of the swimming pools. SoakNSun has the following ticket prices and variable costs for 2018​: Individual Family Sale price per ticket $25 $75 Variable cost per ticket 15 60 SoakNSun expects to sell one individual ticket for every three family tickets. SoakNSun​'s total fixed costs are $61,875. Requirement 1. Compute the​ weighted-average contribution margin per ticket. Complete the table...
Binomial distributions are approximately normal when the number of trials is large, and the probaility of...
Binomial distributions are approximately normal when the number of trials is large, and the probaility of success is not near zero or one. A player flips an unbiased coin 1,296 times. a. What is the probability of the coin landing on heads between 612 and 684 times?
Many variables in medicine follow a normal distribution where there are approximately an equal number of...
Many variables in medicine follow a normal distribution where there are approximately an equal number of values below the mean as above the mean. Describe two variables that would probably follow a normal distribution. Also note which of the two variables would be likely to have a larger standard deviation and why. As an alternative question, what are some other potential probability distributions in the health care field such as bimodal, skewed, or exponential and give variables that would probably...
A gambler tosses a coin and a tetrahedron at each stage. If "H", he receives the...
A gambler tosses a coin and a tetrahedron at each stage. If "H", he receives the amount appearing at the face of the tetrahedron. If "T", he pays the amount. The tetrahedron is fair, but the probability of H is ⅔. The game ends if the gambler reaches 0 or less wealth, or accumulates 6 or more wealth. Define X_n = 0 if wealth is less than or equal to zero. Define X_n = i if wealth is i =...
A gambler tosses a coin and a tetrahedron at each stage. If "H", he receives the...
A gambler tosses a coin and a tetrahedron at each stage. If "H", he receives the amount appearing at the face of the tetrahedron. If "T", he pays the amount. The tetrahedron is fair, but the probability of H is ⅔. The game ends if the gambler reaches 0 or less wealth, or accumulates 6 or more wealth. Define X_n = 0 if wealth is less than or equal to zero. Define X_n = i if wealth is i =...
he number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally...
he number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. ​(a) What is the probability that a randomly selected bag contains between 1100 and 1400 chocolate​ chips, inclusive? ​(b) What is the probability that a randomly selected bag contains fewer than 1025 chocolate​ chips? ​(c) What proportion of bags contains more than 1200 chocolate​ chips? ​(d) What is the percentile rank of...
The Ganubrabdrab Company has determined that the number of telephone calls it receives each hour during...
The Ganubrabdrab Company has determined that the number of telephone calls it receives each hour during holidays follows a normal distribution with a mean of 80,000 and a standard deviation of 35,000. Suppose 60 holiday hours are chosen at random. What is the sampling distribution for the 60 hours? What is the probability that for these 60 hours the number of incoming calls will be greater than 91,970? What is the probability that for these 60 hours the number of...
It receives bids to buy shares from investors A through F. The number of shares each...
It receives bids to buy shares from investors A through F. The number of shares each would buy and the price they offer to pay is below: A: 100 shares $16/share B: 300 shares $14/share C: 200 shares $10/share D: 100 shares $12/share E: 100 shares $13/share F: 400 shares $14/share The corporation will sell 1,000 shares. What will be the IPO share price? a) $14 b) $13 c) $12 d) $10
Your math professor receives several student emails each day. The probability model shows the number of...
Your math professor receives several student emails each day. The probability model shows the number of emails your professor receives from students in a given day. Feel free to use StatCrunch or other technology to find your solutions. Enter only the solutions into the spaces provided. # student emails 0 1 2 3 4 5 Probability 0.30 0.20 0.10 0.05 0.05 0.30 How many emails should your professor expect to receive daily? Round your result to the nearest hundredth. What...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT