Question

In: Statistics and Probability

2. A coffee shop knows that the temperature of their coffees has a distribution that is...

2. A coffee shop knows that the temperature of their coffees has a distribution that is skewed to the left with mean µ degrees and standard deviation σ = 8 degrees. A random sample of 36 coffees yielded a sample mean temperature ¯ x = 187 degrees.

(a) Test H0 : µ = 190 versus Ha : µ 6= 190 at the α = 0.01 significance level using a 3-step test.

(b) Based upon your answer in part (a), does µ significantly differ from 190? Why?

(c) Approximate the p−value for the test in part (a).

(d) Based upon your answer in part (c), does µ significantly differ from 190? Why?

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

A hospital manager knows the surgical glove has a Normal distribution with a mean of five...
A hospital manager knows the surgical glove has a Normal distribution with a mean of five boxes of surgical gloves per day and a standard deviation of one-half box of surgical gloves per day. Two days are required to fill an order surgical glove and ordering cost is $10 per order, annual holding cost is $10 per box. The hospital reorders when the surgical gloves on hand and on order is 12 boxes, calculate the risk of a stock-out during...
A hospital manager knows the surgical glove has a Normal distribution with a mean of five...
A hospital manager knows the surgical glove has a Normal distribution with a mean of five boxes of surgical gloves per day and a standard deviation of one-half box of surgical gloves per day. Two days are required to fill an order surgical glove and ordering cost is $10 per order, annual holding cost is $10 per box. The hospital reorders when the surgical gloves on hand and on order is 12 boxes. 1. Calculate the risk of a stock-out...
Question 1 The coffee shop A coffee shop knows from past records that its weekly takings...
Question 1 The coffee shop A coffee shop knows from past records that its weekly takings (sales) are normally distributed with a mean of $10,500 and a standard deviation of $478. Answer the following questions: Find the probability that in a given week the coffee shop would have takings of more than $10,700 Find the probability that in a given week the takings are between $9,800 and $11,000. Calculate the inter-quartile range of weekly takings. What are the maximum weekly...
Question 1 The coffee shop A coffee shop knows from past records that its weekly takings...
Question 1 The coffee shop A coffee shop knows from past records that its weekly takings (sales) are normally distributed with a mean of $10,500 and a standard deviation of $478. Answer the following questions: a. Find the probability that in a given week the coffee shop would have takings of more than $10,700 b. Find the probability that in a given week the takings are between $9,800 and $11,000. c. Calculate the inter-quartile range of weekly takings. d. What...
Supposedly the distribution of the human's body temperature in the population has a mean of 37ºC...
Supposedly the distribution of the human's body temperature in the population has a mean of 37ºC and a standard deviation of 0.85ºC. If a sample of 105 people is chosen, calculate the following probabilities: a) that the mean is less or equal to 36.9 ºC b) that the mean is greater than 38.5 ºC c) Find from what temperature the 10% of the hottest bodies are found d) Find from what temperature the 5% of the coldest bodies are found
Q.2. The following frequency distribution summarizes the weights of 200 garlands made in a shop. Weight...
Q.2. The following frequency distribution summarizes the weights of 200 garlands made in a shop. Weight (kgs) 1-3 4-6 7-9 10-12 Frequency 53 118 21 8 Calculate the mean, median and standard deviation of these data. Weight (kgs) 1-3 4-6 7-9 10-12 Frequency 53 118 21 8 Calculate the mean, median and standard deviation of these data.
Suppose the reaction temperature X (in °C) in a certain chemical process has a uniform distribution...
Suppose the reaction temperature X (in °C) in a certain chemical process has a uniform distribution with A = −9 and B = 9.(a) Compute P(X < 0). (b) Compute P(−4.5 < X < 4.5). (c) Compute P(−7 ≤ X ≤ 8). (Round your answer to two decimal places.) (d) For k satisfying −9 < k < k + 4 < 9, compute P(k < X < k + 4). (Round your answer to two decimal places.)
John knows that monthly demand for his product follows a normal distribution with a mean of...
John knows that monthly demand for his product follows a normal distribution with a mean of 2,500 units and a standard deviation of 425 units. Given this, please provide the following answers for John. a. What is the probability that in a given month demand is less than 3,000 units? b. What is the probability that in a given month demand is greater than 2,200 units? c. What is the probability that in a given month demand is between 2,200...
John knows that monthly demand for his product follows a normal distribution with a mean of...
John knows that monthly demand for his product follows a normal distribution with a mean of 2,500 units and a standard deviation of 425 units. Given this, please provide the following answers for John. a. What is the probability that in a given month demand is less than 3,000 units? b. What is the probability that in a given month demand is greater than 2,200 units? c. What is the probability that in a given month demand is between 2,200...
A coffee shop takes daily data on the high temperature for the day in degrees F,...
A coffee shop takes daily data on the high temperature for the day in degrees F, and the number of cups of hot chocolate sold. They construct a scatterplot and examine the linear relationship.The least squares regression line equation is: y=76.42-1.38x (1)Using the slope value, describe the relationship in context. (2)Can this line equation be used to make a prediction for number of cups of hot chocolate sold when it's 60 degrees F outside? Explain.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT