Suppose that a random sample of 95 tyres of a certain brand
lasted a mean of
21,431 kilometres with a standard deviation of 1295 kilometres. At
the 0.01 level
of significance, test the null hypothesis that the mean life of
this brand of tyre is
22,000 kilometres against the alternative hypothesis that this
figure is too high.
[5 marks]
Suppose that a random sample of 95 tyres of a certain brand lasted a mean of...
4) A random sample of 7 brand X light bulbs had a mean life of 891 hours and a variance of 9201 hours. A random sample of 10 brand Y light bulbs had a mean life of 592 hours and a variance of 4856 hours. Test the null hypothesis that the true variance of brand X bulbs equals the true variance of brand Y bulbs against the alternate hypothesis that the true variance of X exceeds the true variance of...
9.25 The manufacturer of a certain brand of auto batteries claims that the mean life of these batteries is 45 months. A consumer protec- tion agency that wants to check this claim took a random sample of 24 such batteries and found that the mean life for this sample is 43.05 months. The lives of all such batteries have a normal distribution with the population standard deviation of 4.5 months. a. Find the p-value for the test of hypothesis with...
The manufacturer of a certain brand of auto batteries claims that the mean life of these batteries is 45 months. A consumer protection agency that wants to check this claim took a random sample of 24 such batteries and found that the mean life for this sample is 43.35 months. The lives of all such batteries have a normal distribution with the population standard deviation of 4.5 months. Find the p-value for the test of hypothesis with the alternative hypothesis...
The specifications for a certain kind of ribbon call for a mean breaking strength of 180 pounds. If five pieces of the ribbon (randomly selected from different rolls) have a mean breaking strength of 169.5 pounds with a standard deviation of 5.7 pounds, test the null hypothesis μ = 180 pounds against the alternative hypothesis μ < 180 pounds at the 0.01 level of significance. Assume that the population distribution is normal. a) Find the p value b) Test the...
The mean life of a random sample of 25 tires of a certain brand is 28,000mi. (a) If the standard deviation of the population is known to be 3500mi, what is the twosided 90% confidence on the mean? (b) If the variance of the population is not known and the standard deviation of the random sample is 3500mi, what is the two-sided 90% confidence interval?
The manufacturer of a certain brand of auto batteries claims that the mean life of these batteries is 45 months. A consumer protection agency that wants to check this claim took a random sample of 24 such batteries and found that the mean life for this sample is 43.05 months. The lives of all such batteries have a population standard deviation of 4.5 months. Perform a hypothesis test at 10% significance level and state your decision using critical value approach....
sample mean = 213.4552 sample Standard deviation = 44.81542 N=50 alpha = .05 SEM = 6.337857477 For each of the following hypothesis testing problems, manually calculate the t-statistic, use the 5% level of significance (alpha = 0.05), determine the rejection region, determine the p-value of the t-test, use the 95% confidence interval in part (c) to make a decision about whether or not to reject the null hypothesis. Test the null hypothesis that the true mean is 225 versus the...
(1 point) The nicotine content in cigarettes of a certain brand is normally distributed with mean (in milligrams) μ and standard deviation σ=0.1. The brand advertises that the mean nicotine content of their cigarettes is 1.5 mg. Now, suppose a reporter wants to test whether the mean nicotine content is actually higher than advertised. He takes measurements from a random sample of 15 cigarettes of this brand. The sample yields an average of 1.4 mg of nicotine. Conduct a test...
A random sample of 172 marketing students was asked to rate, on
a scale from 1 (not important) to 5 (extremely important), health
benefits as a job characteristic. The sample mean rating was 4.06,
and the sample standard deviation was 0.6. Test at the 1%
significance level the null hypothesis that the population mean
rating is at most 4 against the alternative that it is larger than
4.
What are the null and alternative hypotheses for this test?
For this...
The observations from a random sample of n = 6 from a normal population are: 13.15, 13.72, 12.58, 13.77, 13.01, 13.06. Test the null hypothesis of H0:μ=13 against the alternative hypothesis of H1:μ<13. Use a 5% level of significance. Answer the following, rounding off your answer to three decimal places. (a) What is the sample mean? (b) What is the sample standard deviation? (c) What is the test statistic used in the decision rule? (d) Can the null hypothesis be...