6.08* A fridge is maintained at 8 degrees celsius. In a test at 11 degrees, spoilage was detected in 11 out of 55 salad dishes. Construct a 90% confidence interval for the true proportion of spoilage in salad dishes at 11 degrees celsius.
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- Find the lower limit of 95% confidence interval. An SRS of 36 students were taken from high schools in a particular state. The average test score of the sampled students was 60 with a standard deviation of 13.26. Give the lower limit of the interval approximation.A repeated measures study is done to measure the change in IQ test scores taken on Monday versus those taken on Friday. There were n=9 participants in the study. The mean difference was MD =-5 points and the standard error for the mean difference was SMD=0.51. Construct a 95% confidence interval to estimate the size of the population mean difference.a group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. what is the 90% confidence interval for the mean score, u, of all students taking the test?
- One scientist wondered if there was a difference in the average daily intake of dairy products between men and women. He took a sample of n1 = 50 adult men and n2 = 50 adult women and recorded their daily intake of dairy products in grams per day. A summary of the sample results is presented in the table. Construct a 95% confidence interval for the difference in the average daily intake of dairy products for men and women. Can it be concluded that there is a difference in the average daily intakes for men and women?A researcher was interested in comparing weekly salaries between men and women. Independent samples were drawn to find the average salary for each group. A 90% confidence interval for the difference between female and male employees was determined to be (-$110, $10) in a given week. Interpret the confidence interval Zero is contained in the interval so the probability that male employees earn the same as females is 0.9. 90% of the time, women earn less than men. ore per ek Based on these data, we would assume that female employees average between $110 and $10 than male employees O We are 90% confident that men earn between $110 less or $10 more than women in a given week.A car manufacture produces a new car that advertises an average of 30 MPG. The distribution of MPG of cars is normally distributed. The manufacturer will test 30 cars off the assembly line to find a confidence interval of the average MPG of their new vehicle to determine if it is close to 30. The average MPG of the 30 cars is 31.2 gallons with a standard deviation of 2 gallons. Find a 95% confidence interval for the average MPG of the new vehicle. (30.45, 31.95) (30.48, 31.92) O (31.18, 31.22) O The sample size is too small to compute a confidence interval.
- An agricultural researcher plants 14 plots with a new variety of corn. The average yield for these plots is X = 155 bushels per acre. Assume that the yield per acre for new variety of corn follows a normal distribution with unknown mean and a calculated sample standard deviation s = 10 bushels. A 90% confidence interval for the unknown mean isA recent study of 28 randomly selected employees of a company showed that the mean ofdistance they traveled to work was 14.3 miles. The standard deviation of the sample was 2.0miles. Find the 95% confidence interval of the true mean.A city planner wants to estimate the average monthly residential water usage in the city. He selected a random sample of 42 households from the city, which gave the mean water usage to be 3409.30 gallons over a one-month period. Based on earlier data, the population standard deviation of the monthly residential water usage in this city is 387.90 gallons. Make a 97% confidence interval for the average monthly residential water usage for all households in this city.
- A 95% confidence interval for the mean was computed with a sample of size 90 to be (16,22). b. What is the point estimate x̅ ?7. In the manufacturing of a chemical adhesive, 3% of all batches have raw materials from two different lots. This occurs when holding tanks are replenished and the remaining portion of a lot is insufficient to fill the tanks. Only 5% of batches with material from a single lot require reprocessing. However, the viscosity of batches consisting of two or more lots of material is more difficult to control, and 40% of such batches require additional processing to achieve the required viscosity. Let A denote the event that a batch is formed from two different lots, and let B denote the event that a lot requires additional processing. Determine the following probabilities: а. Р(А) b. P(A') c. P(B|A) d. P(B|A') e. P(ANB) f. P(ANB') д. P(B)A researcher collected data on a sample of 40 stores of a large retail chain, and for each store translate data to a conventional performance rating. The average performance rating among sample values is calculated to be 275. calculate an approxiate 95% confidence interval for the mean performance rating of all stories of the chain. Assume the standard deviation of performance ratings among all store in the chain is 90.