Question

# 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 Compact 48 29 38 30 41 63 51 56 56 57 50 26 40 55 56 26 31 39 41 63

a. Assuming that the population variances from both types of digital cameras are​ equal, is there evidence of a difference in the mean battery life between the two types of​ cameras? Use

α=0.02.

Do not reject or Reject H0. There is _____

▼sufficient, insufficient, evidence

that the means differ.

b. Determine the​ p-value in​ (a) and interpret its meaning.

​p-value= _____

​(Round to two decimal places as​ needed.)

Interpret the​ p-value. Choose the correct answer below.

A.The probability of obtaining a sample that yields a t test statistic farther away from 0 in either direction than the computed test statistic if there is no difference in the mean battery life between the two types of digital cameras.

B.The probability of obtaining a sample that yields a t test statistic farther away from 0 in the positive direction than the computed test statistic if there is no difference in the mean battery life between the two types of digital cameras.

C.The probability of obtaining a sample that yields a t test statistic farther away from 0 in the negative direction than the computed test statistic if there is no difference in the mean battery life between the two types of digital cameras.

c. What is meant by a​ “.05” level of significance​ ?

A.we have a​ 5% chance of not rejecting the null hypothesis when the null is false

B.we have a​ 5% chance of rejecting the null hypothesis when the null hypothesis is true

C.the lowest level of significance for which we do not reject the null is​ 5%

D. The probability of a Type II error is​ 5%

a)

 Subcompact Compact sample mean x = 41.30 48.30 standard deviation s= 10.80 13.21 sample size n= 10 10 Pooled Variance Sp2=((n1-1)s21+(n2-1)*s22)/(n1+n2-2)= 145.567
 Point estimate : x1-x2= -7 std. error se =Sp*√(1/n1+1/n2)= 5.3957 test stat t =(x1-x2-Δo)/Se= -1.297 p value : = 0.211 from excel: tdist(1.297,18,2)

Do not reject Ho ; There is insufficient evidence that the means differ.

b)

p value =0.21

A.The probability of obtaining a sample that yields a t test statistic farther away from 0 in either direction than the computed test statistic if there is no difference in the mean battery life between the two types of digital cameras.

c)

B.we have a​ 5% chance of rejecting the null hypothesis when the null hypothesis is true

#### Earn Coins

Coins can be redeemed for fabulous gifts.