Question

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

2929

subcompact cameras and

1616

compact cameras. Complete parts​ (a) through​ (d) below.

DATA: Subcompact

Compact

298

395

314

451

287

452

278

263

250

352

197

242

335

332

240

219

27279

231

238

259

197

282

217

398

277

507

209

198

260

149

219

131

238

209

2205

291

161

284

203

142

228

221

197

172

149

a. Is there evidence of a difference in the variability of the battery life between the two types of digital​ cameras? (Use

alphaαequals=0.010.01​.)

What are the correct null and alternative​ hypotheses?

A.

Upper H 0H0​:

sigma Subscript subcompact Superscript 2σ2subcompactequals=sigma Subscript compact Superscript 2σ2compact

Upper H 1H1​:

sigma Subscript subcompact Superscript 2σ2subcompactnot equals≠sigma Subscript compact Superscript 2σ2compact

B.

Upper H 0H0​:

sigma Subscript subcompact Superscript 2σ2subcompactless than or equals≤sigma Subscript compact Superscript 2σ2compact

Upper H 1H1​:

sigma Subscript subcompact Superscript 2σ2subcompactgreater than>sigma Subscript compact Superscript 2σ2compact

C.

Upper H 0H0​:

sigma Subscript subcompact Superscript 2σ2subcompactnot equals≠sigma Subscript compact Superscript 2σ2compact

Upper H 1H1​:

sigma Subscript subcompact Superscript 2σ2subcompactequals=sigma Subscript compact Superscript 2σ2compact

D.

Upper H 0H0​:

sigma Subscript subcompact Superscript 2σ2subcompactgreater than or equals≥sigma Subscript compact Superscript 2σ2compact

Upper H 1H1​:

sigma Subscript subcompact Superscript 2σ2subcompactless than<sigma Subscript compact Superscript 2σ2compact

What is the test​ statistic?

Upper F Subscript STATFSTATequals=nothing

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

What is the critical​ value? Select the correct choice below and fill in the answer box within your choice.

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

A.

Upper F Subscript alpha divided by 2Fα/2equals=nothing

B.

Upper F Subscript alphaFαequals=nothing

What is the correct​ conclusion?

A.

Reject

Upper H 0H0.

There is sufficient evidence of a difference in the variability of the battery life between the two types of digital cameras.

B.

Reject

Upper H 0H0.

There is insufficient evidence of a difference in the variability of the battery life between the two types of digital cameras.

C.

Do not reject

Upper H 0H0.

There is insufficient evidence of a difference in the variability of the battery life between the two types of digital cameras.

D.

Do not reject

Upper H 0H0.

There is sufficient evidence of a difference in the variability of the battery life between the two types of digital cameras.

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

The​ p-value in part​ (a) is

nothing.

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

What does the​ p-value mean?

A.

The probability of obtaining a sample that yields a test statistic equal to or more extreme than the one in​ (a) is equal to the​ p-value if there is a difference in the two population variances.

B.

The probability of obtaining a sample that yields a test statistic equal to or less extreme than the one in​ (a) is equal to the​ p-value if there is a difference in the two population variances.

C.

The probability of obtaining a sample that yields a test statistic equal to or less extreme than the one in​ (a) is equal to the​ p-value if there is no difference in the two population variances.

D.

The probability of obtaining a sample that yields a test statistic equal to or more extreme than the one in​ (a) is equal to the​ p-value if there is no difference in the two population variances.

c. What assumption about the population distribution of the two types of cameras is necessary in​ (a)?

A.

The populations are normally distributed.

B.

The populations have different means.

C.

The populations have equal means.

D.

The populations are the same size.

Is this assumption​ satisfied?

Yes,

No,

because

the subcompact sample is

the two samples are

the compact sample is

the compact sample mean is

larger than the subcompact sample.

roughly symmetric.

right-skewed.

larger than the subcompact sample mean.

smaller than the subcompact sample mean.

smaller than the subcompact sample.

skewed in opposite directions.

left-skewed.

equal to the subcompact sample.

equal to the subcompact sample mean.

d. Based on the results of​ (a), which t test should be used to compare the mean battery life of the two types of​ cameras?

A.

The​ pooled-variance t test should be​ used, because the two populations have equal variances.

B.

The​ pooled-variance t test should be​ used, because the two populations do not have equal variances.

C.

The​ separate-variance t test should be​ used, because the two populations do not have equal variances.

D.

The​ separate-variance t test should be​ used, because the two populations have equal variances.

Homework Answers

Answer #1

Following is the output of F test generated by excel:

(a)

The test statistics is;

(b)

The p-value is: 0.0002

Since p-value is small so we reject the null hypothesis.

(c)

A. The populations are normally distributed.

Following are the box plots:

Box plot shows that data is symmetric with no outliers.

Yes, because the two samples are roughly symmetric.

d)

C.

The​ separate-variance t test should be​ used, because the two populations do not have equal variances.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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...
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...
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 41 23 36 33 49 60 56 56 59 51 46 26 35 52 60 20 33 39 50 64 a. Assuming that the population variances from both...
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 50 30 35 35 46 61 58 58 57 57 41 24 37 53 54 20 34 37 45 62 a. Assuming that the population variances from both...
The accompanying table gives results from a study of words spoken in a day by men...
The accompanying table gives results from a study of words spoken in a day by men and women. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.050.05 significance level to test the claim that the numbers of words spoken in a day by men vary more than the numbers of words spoken in a day by women. n x overbarx s Men 185185 15 comma 668.715,668.7 8 comma 632.88,632.8 Women 211211 16...
Listed below are systolic blood pressure measurements​ (mm Hg) taken from the right and left arms...
Listed below are systolic blood pressure measurements​ (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.050.05 significance level to test for a difference between the measurements from the two arms. What can be​ concluded? Right arm 152152 148148 115115 129129 136136 Left arm 172172 168168 177177 148148 149149 In this​ example,...
The following table contains the number of successes and failures for three categories of a variable....
The following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the alpha equals 0.05α=0.05 level of significance. Category 1Category 1 Category 2Category 2 Category 3Category 3 FailuresFailures 6565 4040 4747 SuccessesSuccesses 5151 4040 5858 LOADING... Click the icon to view the​ Chi-Square table of critical values. State the hypotheses. Choose the correct answer below. A. Upper H 0H0​: The categories of the variablecategories of...
Problem 4 An important feature of modern tablets is battery life. Here, we wish to compare...
Problem 4 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...
A survey was conducted of two types of marketers. The first type being marketers that focus...
A survey was conducted of two types of marketers. The first type being marketers that focus primarily on attracting business​ (B2B), and the second type being marketers that primarily target consumers​ (B2C). It was reported that 510510 ​(8686​%) of B2B and 230230 ​(5656​%) of B2C marketers commonly use a business social media tool. The study also revealed that 302302 ​(5151​%) of B2B marketers and 250250 ​(6161​%) of B2C marketers commonly use a video social media tool. Suppose the survey was...
Consider the data in the table collected from four independent populations. Sample 1 Sample 2 Sample...
Consider the data in the table collected from four independent populations. Sample 1 Sample 2 Sample 3 Sample 4 ​a) Calculate the total sum of squares​ (SST). ​b) Partition the SST into its two​ components, the sum of squares between​ (SSB) and the sum of squares within​ (SSW). 44 1414 2121 44 77 1111 2222 33 88 1717 2020 1111 66 1313 ​c) Using alphaαequals=0.050.05​, what conclusions can be made concerning the population​ means? LOADING... Click the icon to view...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT