A manufacturer of high end drills used in the dental industry,
claims that at most 26% of the drills require repairs within the
first 5 years of operation. Let
be the true proportion of drills that require repairs within the
first 5 years of operation. In a random sample of 35 of these
drills 11 required repairs within the first 5 years of
operation.
Find the large sample p-value associated with the
following hypothesis test:
A manufacturer of high end drills used in the dental industry, claims that at most 26%...
A cigarette manufacturer claims that the average nicotine content of their new brand XXX is at most 1.35 mg. It would be unwise to reject the manufacturer's claim without strong contradictory evidence. An appropriate problem formulation is to test A random sample of 100 brand XXX cigarettes are tested and the sample standard deviation and sample mean are found to be 0.07 mg and 1.361 mg, respectively. Assuming the central limit theorem applies and s ≈ σ, find the p-value...
2. The manufacturer of a new model car (Camry) claims that a typical car get 26 miles per gallon. A consumer advocacy group is skeptical of this claim and thinks that the mean gas mileage, , of all Camrys may be less than 26 mpg. The group plans to perform the hypothesis test at a = 0.05, using a sample of 30 Camrys. Ho: u = 26 mpg Hu<26 mpg Find the probability of making a Type II error if...
The U.S. Census Bureau claims that 26% of all U.S. businesses are owned by women. Suppose that we suspect this is not true and we want to do a hypothesis test using random sampling. What is the smallest sample size that we could take in order to safely use the ?z significance tests for a proportion? a) 14 b) 10 c) 39 d) 20 Please show work!
1) The state of CT claims that the average time in prison is 15 years. A random survey of 75 inmates revealed that the average length of time in prison is 16.4 years with a standard deviation of 6.7 years. Conduct a hypothesis to test the state of CT's claim. What type of test should be run? t-test of a mean z-test of a proportion The alternative hypothesis indicates a right-tailed test left-tailed test two-tailed test Calculate the p-value. Keep...
1- The fridge manufacturer claims the average daily electricity consumption of one energy efficient model is 0.5 kW.h, the standard deviation of the daily electricity consumption is 0.16 kW.h. For one random sample of 45 fridges, Find the probability that the sample average daily electricity consumption is greater than 0.55 kW.h. 2- Given a random sample 45 fridges of this model, the average daily electricity consumption of this sample is 0.52 kW.h, calculate 99% two-sided confidence interval for the true...
A manufacturer claims that the calling range (in feet) of its 900-MHz cordless telephone is greater than that of its leading competitor. A sample of 18 phones from the manufacturer had a mean range of 1120 feet with a standard deviation of 20 feet. A sample of 13 similar phones from its competitor had a mean range of 1110 feet with a standard deviation of 25 feet. Do the results support the manufacturer's claim? Let u be the true mean...
Two types of medication for hives are being tested. The manufacturer claims that the new medication B is more effective than the standard medication A and undertakes a comparison to determine if medication B produces relief for a higher proportion of adult patients within a 30-minute time window. 20 out of a random sample of 200 adults given medication A still had hives 30 minutes after taking the medication. 12 out of another random sample of 200 adults given medication...
the pictures are in order so #5 is in included. 1) A manufacturer claims that the mean amount of juice in its 16 ounce bottles is at least 16.1 ounces. C) Two-tailed A) Right-tailed B) Left-tailed 2) A health insurer has determined that the "reasonable and customary" fee for a certain medical procedure is $1200. They suspect that the average fee charged by one particular clinic for this procedure is less than $1200 and wish to conduct a test to...
The website Jane's Fighting Ships claims that at least 85% of the warships used in the Battle of Jutland in 1916 during the First World War were actual steel- hulled battleships. Find the Null Hypothesis, and the Alternative Hypothesis. (Do NOT perform the hypothesis test, just find the Null and Alternative hypotheses.) Test the claim that the population proportion of people in California who have green eyes is equal to 2%. You have a random sample of 650 people from...
A manufacturer claims that the calling range (in feet) of its 900-MHz cordless telephone is greater than that of its leading competitor. A sample of 13 phones from the manufacturer had a mean range of 1060 feet with a standard deviation of 37 feet. A sample of 18 similar phones from its competitor had a mean range of 1050 feet with a standard deviation of 39 feet. Do the results support the manufacturer's claim? Let μ1 be the true mean...