Question

In: Statistics and Probability

A random sample of six dishwashers contains three surface-finish defects. Please test whether the mean occurrence...

A random sample of six dishwashers contains three surface-finish defects. Please test whether the mean occurrence rate of surface-finish defects per dishwasher exceeds 0.5 using ? = 0.05.

Solutions

Expert Solution

Let p denotes the true occurrence rate of surface-finish defects per dishwasher.

There is not sufficient evidence to support the claim that the mean occurrence rate of surface-finish defects per dishwasher exceeds 0.5 using ? = 0.05.


Related Solutions

A random sample of six dishwashers contains three surface-finish defects. Please test whether the mean occurrence...
A random sample of six dishwashers contains three surface-finish defects. Please test whether the mean occurrence rate of surface-finish defects per dishwasher exceeds 0.5 using ? = 0.05.
Test at the α = 0.05 significance level whether the mean of a random sample of...
Test at the α = 0.05 significance level whether the mean of a random sample of size n = 16 is statistically significantly less than 10 if the distribution from which the sample was taken is normal, ?̅= 8.4 and ? 2 = 10.24. a) What is the appropriate test you can use to test the claim? b) What are the null and alternative hypotheses for this test? c) What is your conclusion? d) Find the confidence interval on the...
In a random sample of 85 automobile engine crankshaft bearings, 10 have a surface finish that...
In a random sample of 85 automobile engine crankshaft bearings, 10 have a surface finish that is rougher than the specifications allow. (a) Find a point estimate for the true proportion of crankshaft bearings that exceeds the roughness specification. (b) Find a 95% two-sided confidence interval for the proportion of bearing in the population that exceeds the roughness specification. (c) What is the margin of error?
In a random sample of six microwave​ ovens, the mean repair cost was ​$70.00 and the...
In a random sample of six microwave​ ovens, the mean repair cost was ​$70.00 and the standard deviation was ​$12.00. Assume the variable is normally distributed and use a​ t-distribution to construct a 99​% confidence interval for the population mean u. What is the margin of error of u​? The 99​% confidence interval for the population mean u is (_, _ ) ​(Round to two decimal places as​ needed.) The margin of error is ___. ​(Round to two decimal places...
In a random sample of six microwave​ ovens, the mean repair cost was ​$75.00 and the...
In a random sample of six microwave​ ovens, the mean repair cost was ​$75.00 and the standard deviation was ​$11.00. Assume the population is normally distributed and use a​ t-distribution to construct a 99​% confidence interval for the population mean μ. What is the margin of error of μ​? Interpret the results.
A class contains 200 students. The teacher wants to test whether the mean IQ in the...
A class contains 200 students. The teacher wants to test whether the mean IQ in the class exceeds 120. He chooses a random sample of 16 students and finds that the mean IQ in the sample is 122.8 and the standard deviation of the IQ’s in the sample is 10.9. Let alpha = 0.05. You may assume that IQ's are Normally distributed. Which one of the following is the correct conclusion for this hypothesis test? Group of answer choices A...
To test H0: mean = 20 vs H1: mean < 20 a simple random sample of...
To test H0: mean = 20 vs H1: mean < 20 a simple random sample of size n = 18 is obtained from a population that Is known to be normally distributed (a) If x-hat = 18.3 and s = 4.3, compute the test statistic (b) Draw a t-distribution with the area that represents the P-value shaded (c) Approximate and interpret the P-value (d) If the researcher decides to test this hypothesis at the a = 0.05 level of significance,...
In order to conduct a hypothesis test for the population mean, a random sample of 12...
In order to conduct a hypothesis test for the population mean, a random sample of 12 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 16.6 and 2.2, respectively. H0: μ ≤ 14.9 against HA: μ > 14.9 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) a-2. Find the p-value. 0.05  p-value < 0.10...
In order to conduct a hypothesis test for the population mean, a random sample of 24...
In order to conduct a hypothesis test for the population mean, a random sample of 24 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 13.9 and 1.6, respectively. (You may find it useful to reference the appropriate table: z table or t table). H0: μ ≤ 13.0 against HA: μ > 13.0 a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal...
In order to conduct a hypothesis test for the population mean, a random sample of 24...
In order to conduct a hypothesis test for the population mean, a random sample of 24 observations is drawn from a normally distributed population. The resulting mean and the standard deviation are calculated as 6.3 and 2.5, respectively. Use Table 2. Use the critical value approach to conduct the following tests at α = 0.05. H0: μ ≤ 5.1 against HA: μ > 5.1 a-1. Calculate the value of the test statistic. (Round your answer to 2 decimal places.) Test...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT