Question

- The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A sample of twelve batteries is subjected to an accelerated life test by running them continuously at an elevated temperature until failure, and the following lifetimes (in hours) are obtained: 25.7, 24.3, 25.1, 24.8, 26.4, 27.4, 24.5, 26.2, 25.5, 25.9, 26.9, and 25.9. Test the hypothesis that the mean battery life exceeds 25 hours.

- State the null and alternative hypothesis.

- Compute the test statistics.

- Compute the P-value.

- State a conclusion

- Construct a 95% two-sided confidence interval on mean life in the accelerated test.

Answer #1

**Let me know in the comment section if anything is not
clear. I will reply ASAP!**

**If you like the answer, please give a thumbs-up. This
will be quite encouraging for me.Thank-you!**

3. The service life of a battery used in a cardiac pacemaker is
assumed to be normally distributed. A sample of twelve batteries is
subjected to an accelerated life test by running them continuously
at an elevated temperature until failure, and the following
lifetimes (in hours) are obtained: 26.0, 26.3, 25.8, 24.8, 25.1,
27.4, 24.5, 26.2, 27.5, 25.9, 26.9, and 25.2. Test the hypothesis
that the mean battery life exceeds 25 hours. a) State the null and
alternative hypothesis. b)...

A certain type of battery is said to last for 2000hours. A
sample of 200 of these batteries were tested; the mean life was
1995 hours and the standard deviation of the lives was 25.5 hours.
Use these data to test the hypothesis that the population mean life
is 2000 hours against the alternative that it is less than 2000
hours. State the level of significance you are using in your
test.

A battery pack used in a medical device needs to be recharged
about every 5 hours. A random sample of 60 battery packs is
selected and subjected to a life test. The average life of these
batteries is 5.05 hours. Assume that battery life is normally
distributed with standard deviation ? = 0.3 hours. Is there
evidence to support the claim that mean battery life is not 5
hours? Use ? = 0.01.
a. Use P-value approach to test the...

The life in hours of a battery is known to be approximately
normally distributed with standard deviation σ = 1.5 hours. A
random sample of 10 batteries has a mean life of ¯x = 50.5 hours.
You want to test H0 : µ = 50 versus Ha : µ 6= 50.
(a) Find the test statistic and P-value.
(b) Can we reject the null hypothesis at the level α = 0.05?
(c) Compute a two-sided 95% confidence interval for the...

A battery pack used in a medical device needs to be recharged
about every 5 hours. A random sample of 60 battery packs is
selected and subjected to a life test. The average life of these
batteries is 5.05 hours. Assume that battery life is normally
distributed with standard deviation ? = 0.3 hours. Is there
evidence to support the claim that mean battery life is not 5
hours? Use ? = 0.01.
a. Write the appropriate hypothesis.
b. Use...

A battery pack used in a medical device needs to be recharged
about every 5 hours. A random sample of 60 battery packs is
selected and subjected to a life test. The average life of these
batteries is 5.05 hours. Assume that battery life is normally
distributed with standard deviation ? = 0.3 hours. Is there
evidence to support the claim that mean battery life is less than 5
hours? Use ? = 0.01.
a. Write the appropriate hypothesis.
b....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 9 minutes ago

asked 9 minutes ago

asked 12 minutes ago

asked 23 minutes ago

asked 34 minutes ago

asked 36 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago