7.11 95% confidence interval for the difference in taste. To a restaurant owner, the real question...

7.11 95% confidence interval for the difference in taste. To a restaurant
owner, the real question is how much difference there is in taste. Use the preced-
ing data to give a 95% confidence interval for the mean difference in taste scores
between oil-free and hot-oil frying.

Reference:

7.10 Oil-free deep fryer. Researchers at Purdue University are developing an
oil-free deep fryer that will produce fried food faster, healthier, and safer than hot oil.4
As part of this development, they ask food experts to compare foods made with hot
oil and their oil-free fryer. Consider the following table comparing the taste of hash
browns. Each hash brown was rated on a 0 to 100 scale, with 100 being the highest rat-
ing. For each expert, a coin was tossed to see which type of hash brown was tasted first.
Expert 1 2 3 4 5
Hot oil 78 83 61 71 63
Oil free 75 85 67 75 66
Is there a difference in taste? State the appropriate hypotheses, and carry out a
matched pairs t test using a(alpha) = 0.05

Expert Solution

orchestra answered 1 year ago

A confidence interval, at the 95% confidence level, will be used to answer the question, "What...

A confidence interval, at the 95% confidence level, will be used to answer the question, "What is the mean annual salary (in US dollars) of a Tesla car owner?" Data was collected from 36 Tesla owners across the US. The mean annual salary of those 36 Tesla owners was $254000. The standard deviation of ALL Tesla owners is known to be $1057. a) The value at the center of the confidence interval represents what quantity? Choose an option from the list and type its...

A pizza shop owner wishes to find the 95% confidence interval of the true mean cost...

A pizza shop owner wishes to find the 95% confidence interval of the true mean cost of a large plain pizza. How large should the sample be if she wishes to be accurate to within $0.14 ? A previous study showed that the standard deviation of the price was $0.40. Round your final answer up to the next whole number.

QUESTION 10 What is the 95% confidence interval for the proportion of smokers in the population...

QUESTION 10 What is the 95% confidence interval for the proportion of smokers in the population (to 4 decimals)? QUESTION 8 Question 8-10 are based on the following information: The Centers for Disease Control reported the percentage of people 18 years of age and older who smoke (CDC website, December 14, 2014). Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of .35. How large a sample...

Give and interpret the 95% confidence intervals for males and a second 95% confidence interval for...

Give and interpret the 95% confidence intervals for males and a second 95% confidence interval for females on the SLEEP variable. Which is wider and why? Known values for Male and Female: Males: Sample Size = 17; Sample Mean = 7.765; Standard Deviation = 1.855 Females: Sample Size = 18; Sample Mean = 7.667; Standard Deviation = 1.879 Using t-distribution considering sample sizes (Male/Female count) are less than 30

A 95% confidence interval for a difference in proportions p1-p2 if the samples have n1=60 with...

A 95% confidence interval for a difference in proportions p1-p2 if the samples have n1=60 with p^1=0.69 and n2=60 with p^2=0.56, and the standard error is SE=0.09.

In constructing 95% confidence interval estimate for the difference between the means of two populations, where...

In constructing 95% confidence interval estimate for the difference between the means of two populations, where the unknown population variances are assumed not to be equal, summary statistics computed from two independent samples are: ?1=45,?̅1=756,?1=18,?2=40,?̅2=762,?2=15 (using 2-sample T menu) a. Calculate the 95% confidence interval for the true difference of two means. b. Base on the interval in the previous question, can one conclude there is a difference in means of two populations? Justify your answer.

Using an illustrative example, explain the difference between: i) a 95% confidence interval for a population...

Using an illustrative example, explain the difference between: i) a 95% confidence interval for a population mean and ii) a 95% tolerance interval based on a single sample.

95% Confidence Interval: 86.19 ± 0.364 (85.8 to 86.6) "With 95% confidence the population mean is...

95% Confidence Interval: 86.19 ± 0.364 (85.8 to 86.6) "With 95% confidence the population mean is between 85.8 and 86.6, based on 33945 samples." Short Styles: 86.19 (95% CI 85.8 to 86.6) 86.19, 95% CI [85.8, 86.6] Margin of Error: 0.364 What is the impact of your margin of error on your findings? Explain. Is there enough evidence to reject the null hypotheses, explain in plain English?

At a confidence level of 95% a confidence interval for a population proportion is determined to...

At a confidence level of 95% a confidence interval for a population proportion is determined to be 0.65 to 0.75. If the sample size had been larger and the estimate of the population proportion the same, this 95% confidence interval estimate as compared to the first interval estimate would be A. the same B. narrower C. wider

What does a 95% confidence interval mean?

Question