Question

In: Statistics and Probability

An important feature of tablets is battery life, the number of hours before the battery needs...

An important feature of tablets is battery life, the number of hours before the battery needs to be recharged. The file Tablets contains the battery life of 12 WiFi-only and 7 3G/4G/WiFi 9- through 12-inch tablets. (Data extracted from “Ratings and rec- ommendations: Tablets,” Consumer Reports, August 2013, p. 24.)
a. Assuming that the population variances from both types of
tablets are equal, is there evidence of a difference in the mean
battery life between the two types of tablets? 1Use a = 0.05.2
b. Determine the p-value in (a) and interpret its meaning.
c. Assuming that the population variances from both types of tab-
lets are equal, construct and interpret a 95% confidence interval estimate of the difference between the population mean battery life of the two types of tablets.

An important feature of tablets is battery life, the number of hours before the battery needs to be recharged. The following table shows the battery life of 12 WiFi-only and 7 3G/4G/WiFi 9-through 12-inch tablets:

WiFi Only

3G/4G+WiFi

12.40

11.70

10.60

11.40

11.50

10.70

12.60

11.50

8.00

11.30

10.90

11.60

11.60

8.90

10.00

10.90

8.90

9.50

10.50

a. Assuming that the population variances from both types of tablets are equal, is there evidence of a difference in the means battery life between the two types of tablets?

(Use α= 0.05).

b. Determine the p-value and interpret its meaning.

Assuming that the population variances from both types of tablets are equal, construct and interpret a 95% confidence interval estimate of the difference between the population mean battery life of the two types of

Solutions

Expert Solution


Related Solutions

An important feature of tablets is battery​ life, the number of hours before the battery needs...
An important feature of tablets is battery​ life, the number of hours before the battery needs to be recharged. The data shown in the table below contain the battery life of 10​ WiFi-only and 10​ 3G/4G/WiFi 9- through​ 12-inch tablets. Complete parts​ (a) through​ (c). ​WiFi-only ​3G/4G/WiFi 4444 2525 3030 3535 4242 7070 5050 5454 5050 5555 5050 2121 3535 5959 5555 2525 3535 3232 4141 6666 a. Assuming that the population variances from both types of tablets are​ equal,...
An important feature of tablets is battery life, the number of hours before the battery needs...
An important feature of tablets is battery life, the number of hours before the battery needs to be recharged. The following table shows the battery life of 12 WiFi-only and 7 3G/4G/WiFi 9-through 12-inch tablets: WiFi Only 3G/4G+WiFi 12.40 11.70 10.60 11.40 11.50 10.70 12.60 11.50 8.00 11.30 10.90 11.60 11.60 8.90 10.00 10.90 8.90 9.50 10.50 Assuming that the population variances from both types of tablets are equal, is there evidence of a difference in the means battery life...
An important feature of tablets is battery​ life, the number of hours before the battery needs...
An important feature of tablets is battery​ life, the number of hours before the battery needs to be recharged. The data shown in the table below contain the battery life of 10​ WiFi-only and 10​ 3G/4G/WiFi 9- through​ 12-inch tablets. ​WiFi-only ​3G/4G/WiFi 48 26 35 40 44 65 52 51 60 52 48 23 38 51 56 25 36 31 50 66 a. Assuming that the population variances from both types of tablets are​ equal, is there evidence of a...
An important feature of modern tablets is battery life. Here, we wish to compare how tow...
An important feature of modern tablets is battery life. Here, we wish to compare how tow popular tablets brands perform in this area. You collect a sample of 16 Ipad tablets and 13 Surface tablets. The ipad sample had a mean of 600 minutes of battery life, with a standard deviation of 6.88 minutes. Meanwhile, the Surface sample had a mean of 625 minutes and a standard deviation of 6.03 minutes. We wish to know if the Ipad tablets have...
An important feature of digital cameras is battery​ life, the number of shots that can be...
An important feature of digital cameras is battery​ life, the number of shots that can be taken before the battery needs to be recharged. The accompanying data contains battery life information for 29 subcompact cameras and 16 compact cameras. Complete parts​ (a) through​ (d) below. Battery life data for the two types of digital camera: Subcompact Compact 302 394 310 445 289 447 279 260 246 345 197 239 326 332 242 221 276 233 236 256 197 281 223...
The number of hours a battery lasts before failing follows an exponential distribution with a mean...
The number of hours a battery lasts before failing follows an exponential distribution with a mean of μ = 24.5 hours and a standard deviation of 10 hours. Eric buys a pack of 64 batteries. Find the probability that the average number of hours a battery lasts is 21 hours or less. a. 0.0026 b. 0.9974 c. 0.3632 d. -2.80 Solve the problem and show all your work below. Draw appropriate pictures!
Let ? denote the life length, in hours, of a battery. Suppose ? is known to...
Let ? denote the life length, in hours, of a battery. Suppose ? is known to be normally distributed with standard deviation ? = 2.2 hours. A random sample of 16 batteries has an average life of ?̅ = 41.1 hours. We are interested in determining whether there is evidence to support the claim that mean battery life exceeds 40 hours. Using a level of significance of 0.05, answer the following questions. a.) State the null and alternative hypothesis for...
True or False: The life in hours of a battery is known to be approximately normally...
True or False: The life in hours of a battery is known to be approximately normally distributed, with standard deviation of 15 hours. A random sample of 16 batteries has a mean life of 110 hours. Based on sampling results, there is sufficient evidence on this sample to support the claim that battery life exceeds 100 hours at α=0.05.
One of the important features of a camera is the battery life as measured by the...
One of the important features of a camera is the battery life as measured by the number of shots taken until the battery needs to be recharged. The data shown in the table below contain the battery life of 10 subcompact and 10 compact cameras. Complete parts​ (a) through​ (c). Subcompact 49 50 25 28 31 33 39 57 47 57 Compact 70 30 60 35 55 39 59 46 52 68 . Assuming that the population variances from both...
1)The life in hours of a battery is known to be approximately normally distributed, with standard...
1)The life in hours of a battery is known to be approximately normally distributed, with standard deviation 1.25 hours. A random sample of 10 batteries has a mean life of 40.5 hours. A. Is there evidence to support the claim that battery life exceeds 40 hours ? Use α= 0.05. B. What is the P-value for the test in part A? C. What is the β-error for the test in part A if the true mean life is 42 hours?...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT