The Hypotheses are:
Test statistic:
Here we will be using a two-tailed Z test for Hypothesis testing.
a) P-value :
The P-value is computed using the Z table shown below as
P-value=0.0349
Conclusion:
Since P-value > 0.025(level of significance ) Hence we failed to reject the Ho.
b) Critical value approach:
The Hypotheses are:
Rejection region:
Reject Ho if |Z| > Z 0.0125 =2.24
Critical value=2.24
Test statistic:
Conclusion:
Since |Z| < Z0.0125 hence we fail to reject the Null hypothesis.
9.25 The manufacturer of a certain brand of auto batteries claims that the mean life of...
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 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....
Question 8 The mean life of a certain brand of auto batteries is 44 months with a standard deviation of 3 months. Assume that the lives of all auto batteries of this brand have a bell-shaped distribution. Using the empirical rule, find the percentage of auto batteries of this brand that have a life of 38 to 50 months. Round your answer to one decimal place the tolerance is +/-2%
A manufacturer claims that the mean lifetime of its lithium batteries is 1100 hours but a group of homeowners believe their battery life is different than this manufacturer's claim. A homeowner selects 35 of these batteries and finds the mean lifetime to be 1080 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use a 10% level of significance and the p-value approach. Round the test statistic to the nearest thousandth. Need hypothesis testing, values of symbols,...
443. An auto manufacturer claims that its new 4-cylinder Hybrid auto with manual shift averages 50 mpg under city driving conditions. A Federal Agency believes this claim is too high and decides to randomly test 25 of the manufacturer's 4-cylinder Hybrid autos with manual shift. The Agency determines the mean average mpg for the sample to be 48 with a sample standard deviation of 4 mpg under city driving conditions. At α = 5%, the conclusion of this hypothesis test...
PLEASE ANSWER CLEARLY A manufacturer of flashlight batteries claims that its batteries will last an average of 34 hours of continuous use. An analyst wants to test the claim that the mean life expectancy of the flashlight batteries is different from 34 hours. During consumer testing a random sample of 50 batteries lasted an average of 33.2 hours with a standard deviation of 2.6 hours. A One sample T summary hypothesis test: : Mean of population Ho: = 34 HAM...
PLEASE ANSWER CLEARLY A manufacturer of flashlight batteries claims that its batteries will last an average of 34 hours of continuous use. An analyst wants to test the claim that the mean life expectancy of the flashlight batteries is different from 34 hours. During consumer testing, a random sample of 50 batteries lasted an average of 33.2 hours with a standard deviation of 2.6 hours. One sample T summary hypothesis test: : Mean of population Ho! = 34 HA: 34...
An auto manufacturer claims that its new 4-cylinder Hybrid auto with manual shift averages 50 mpg under city driving conditions. A Federal Agency believes this claim is too high and decides to randomly test 25 of the manufacturer's 4-cylinder Hybrid autos with manual shift. The Agency determines the mean average mpg for the sample to be 48 with a sample standard deviation of 4 mpg under city driving conditions. The p-value for this hypothesis test is:
PLEASE ANSWER CLEARLY A manufacturer of flashlight batteries claims that its batteries will last an average of 34 hours of continuous use. An analyst wants to test the claim that the mean life expectancy of the flashlight batteries is different from 34 hours. During consumer testing, a random sample of 50 batteries lasted an average of 33.2 hours with a standard deviation of 2.6 hours. A One sample T summary hypothesis test: p: Mean of population Ho: = 34 HA:...
A manufacturer claims that the mean lifetime of its lithium batteries is 1101 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1081 hours with a standard deviation of 81 hours. Test the manufacturer's claim. Use a = 0.05. OA. p-value = 0.114 > 0.05; do not reject the Ho; there is enough evidence to support the claim. OB. p-value = 0.114 > 0.05; reject the Ho; there is not enough evidence to support...