I need someone to complete my statistic psychology homework (SPSS)

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T-TestLab4Answers11.docx

Name(s): Alhanouf Alkhathamy________________________________

PSYC 290: RDA I

One-sample t-test Lab

You may complete this assignment in pairs. (Remember, a “pair” consists of exactly two people.) Be sure to write both your names on the assignment, or you will receive no credit.

Short Answer

1. What does a one-sample t-test measure, and how is it different from a z-test? (3 points)

A one sample t-test is used to compare the mean of a continuous variable in a specified sample against the mean of the same variable in the whole population. The one sample t-test differs from the z-test in that it uses the t-statistic and is applicable when the population standard deviation is unknown (sample standard deviation is approximated from the sample) and small samples size .. On the other hand, the z-test uses the normal distribution (it’s a parametric test) and applicable when the population standard deviation is known and sample size is large .

2. What is standard error? How is it different from standard deviation? (3 points)

The standard error is a measure of the statistical exactness of an estimate and measures how far the sample mean of the data is likely to be from the true mean of the population under study. It differs from the standard deviation since it is an inferential test (used to make inferences about the sample) while the standard deviation is a descriptive tool (used to describe the sample).

SPSS Problems

[Note: All inferences assume a 5% level of significance]

For SPSS problems, you will produce a full APA-style write-up of the results that clearly explains your hypothesis and findings. Be sure to proofread, and use proper APA format with respect to decimal places (2, except for p-values), italics, etc. Use the provided examples as a guide. Note: you should include a copy of your statistical output for all of the analyses.

1. The New Zealand Air Force needs to buy new helmets for their pilots, so they need to know if their pilots have larger heads than the average pilot. The average pilot’s head is 150.5 cm. The Air Force measured 18 recruits using metal calipers and then again using cardboard calipers. For the following questions, use the NZHelmet.sav dataset.

a. Were the NZ pilots’ heads larger than the average pilot’s head size when the metal calipers were used? Write out results using proper APA format as demonstrated in the guide. (8 points)

The study hypothesized that New Zealand pilot’s heads are larger than the average pilot. By using a one sample t-test, the study did not find significant difference between the New Zealand pilots and the general population t(17) = 1.87, p = 0.078, d = 0.44 when the metal calipers were used as a measurement tool. The sample data therefore fails to support the study hypothesis, that New Zealand pilots (n = 18) have larger heads (M = 152.94, SD = 5.54) than the average pilot (µ = 150.50).

b. Were the NZ pilots’ heads larger than the average pilot’s head size when the cardboard calipers were used? Write out results using proper APA format as demonstrated in the guide. (8 points)

The study hypothesized that New Zealand pilot’s heads are larger than the average pilot. By using a one sample t-test, the study did find a significant difference between the New Zealand pilots and the general population t(17) = 2.96, p = 0.009, d = 0.70 when the cardboard calipers were used as a measurement tool. The sample data therefore supports the study hypothesis, that New Zealand pilots (n = 18) have larger heads (M = 154.56, SD = 5.82) than the average pilot (µ = 150.50).

2. The average brain weight of adults is 1,345 grams, and the average head size is 3,675 cubic centimeters (cm3). A researcher collected the brain weights of 237 individuals in Indiana, PA to see if their brain weight was different from the average brain weight. Use the dataset HeadSize.sav for the following questions.

a. Were the brain weights of Indiana, PA residents different from the global average? Write out results using proper APA format as demonstrated in the guide. (8 points)

The study hypothesized that the brain weights of adult individuals in Indiana, PA differed from the global average brain weight of adult individuals. A one sample t-test found a significant difference between the brain weights of Indiana, PA residents t(236) = -7.95, p < 0.001, d = 0.52. The sample data therefore supports the study hypothesis, that brain weights of Indiana, PA residents (n = 237) is different from the global average (µ = 1345.00).

b. Were the head sizes of Indiana, PA residents different from the global average? Write out results using proper APA format as demonstrated in the guide. (8 points)

The study hypothesized that the head sizes of Indiana, PA residents were different from the global average of head sizes. A one sample t-test found did not find a significant difference between the brain weights of Indiana, PA residents t(236) = -1.73, p = 0.085, d = -11. The sample data therefore fails to support the study hypothesis, that brain weights of Indiana, PA residents (n = 237) is different from the global average (µ = 3675.00).

3. Researchers are interested in whether individuals who eat more than 1,000 additional calories a day than their bodies need over the course of 8 weeks gain any weight at all. The researchers collected the participants’ weight at the beginning of the 8 weeks and again at the end of the 8 weeks. Use the dataset Overeating.sav for the following questions.

a. Identify the null and research hypotheses. (2 points)

H0: Weight after – Weight before ≤ 0 (No weight gain). It was hypnotized that individual who eat more than 1,000 additional calories a day than their bodies need over the course of 8 weeks will gain weight.

H1: Weight after – Weight before > 0 (Weight gain). It was hypnotized that individual who eat more than 1,000 additional calories a day than their bodies need over the course of 8 weeks will see no difference in weight.

b. Did the participants experience a significant amount of weight gain? Write out results using proper APA format as demonstrated in the guide. (8 points)

The study hypothesized that individuals who eat more than 1000 additional calories a day than their bodies need will gain weight at the end of the 8 weeks. A one sample t-test was performed on the differences in the weight before and after, the study found a significant difference between the weight the individuals before and after t(15) = 10.84, p < 0.001, d = 8.36. Supporting the study hypothesis, individuals who ate more than 1,000 additional calories a day than their bodies needed (n = 16) weighed more after (M = 155.05, SD = 21.44) than before (M = 144.64, SD = 22.70).

Copy and paste all of your output to the end of this lab. Grading will be based on accurate analysis of the results and proper APA-style write-up. (2 points)

/* ====================================================

GET

FILE='E:\Clients\Chesaro\2019\makeupassignment\NZHelmet-2 (1).sav'.

DATASET NAME DataSet2 WINDOW=FRONT.

DATASET ACTIVATE DataSet2.

/* Q1 (a), (b)

T-TEST

/TESTVAL=150.5

/MISSING=ANALYSIS

/VARIABLES=Cardboard Metal

/CRITERIA=CI(.95).

T-Test

Notes

Output Created

14-MAR-2019 11:04:45

Comments

Input

Data

E:\Clients\Chesaro\2019\makeupassignment\NZHelmet-2 (1).sav

Active Dataset

DataSet2

Filter

<none>

Weight

<none>

Split File

<none>

N of Rows in Working Data File

18

Missing Value Handling

Definition of Missing

User defined missing values are treated as missing.

Cases Used

Statistics for each analysis are based on the cases with no missing or out-of-range data for any variable in the analysis.

Syntax

T-TEST

/TESTVAL=150.5

/MISSING=ANALYSIS

/VARIABLES=Cardboard Metal

/CRITERIA=CI(.95).

Resources

Processor Time

00:00:00.03

Elapsed Time

00:00:01.30

[DataSet2] E:\Clients\Chesaro\2019\makeupassignment\NZHelmet-2 (1).sav

One-Sample Statistics

N

Mean

Std. Deviation

Std. Error Mean

Cardboard

18

154.56

5.823

1.373

Metal

18

152.94

5.536

1.305

One-Sample Test

Test Value = 150.5

t

df

Sig. (2-tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

Cardboard

2.955

17

.009

4.056

1.16

6.95

Metal

1.873

17

.078

2.444

-.31

5.20

/* ====================================================

GET

FILE='E:\Clients\Chesaro\2019\makeupassignment\HeadSize (1).sav'.

DATASET NAME DataSet3 WINDOW=FRONT.

DATASET ACTIVATE DataSet3.

/* Q2 (a)

T-TEST

/TESTVAL=1345

/MISSING=ANALYSIS

/VARIABLES=BrainWeight

/CRITERIA=CI(.95).

T-Test

Notes

Output Created

14-MAR-2019 11:04:49

Comments

Input

Data

E:\Clients\Chesaro\2019\makeupassignment\HeadSize (1).sav

Active Dataset

DataSet3

Filter

<none>

Weight

<none>

Split File

<none>

N of Rows in Working Data File

237

Missing Value Handling

Definition of Missing

User defined missing values are treated as missing.

Cases Used

Statistics for each analysis are based on the cases with no missing or out-of-range data for any variable in the analysis.

Syntax

T-TEST

/TESTVAL=1345

/MISSING=ANALYSIS

/VARIABLES=BrainWeight

/CRITERIA=CI(.95).

Resources

Processor Time

00:00:00.02

Elapsed Time

00:00:00.02

[DataSet3] E:\Clients\Chesaro\2019\makeupassignment\HeadSize (1).sav

One-Sample Statistics

N

Mean

Std. Deviation

Std. Error Mean

BrainWeight

237

1282.8734

120.34045

7.81695

One-Sample Test

Test Value = 1345

t

df

Sig. (2-tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

BrainWeight

-7.948

236

.000

-62.12658

-77.5265

-46.7267

/* Q2 (b)

T-TEST

/TESTVAL=3675

/MISSING=ANALYSIS

/VARIABLES=HeadSize

/CRITERIA=CI(.95).

T-Test

Notes

Output Created

14-MAR-2019 11:04:49

Comments

Input

Data

E:\Clients\Chesaro\2019\makeupassignment\HeadSize (1).sav

Active Dataset

DataSet3

Filter

<none>

Weight

<none>

Split File

<none>

N of Rows in Working Data File

237

Missing Value Handling

Definition of Missing

User defined missing values are treated as missing.

Cases Used

Statistics for each analysis are based on the cases with no missing or out-of-range data for any variable in the analysis.

Syntax

T-TEST

/TESTVAL=3675

/MISSING=ANALYSIS

/VARIABLES=HeadSize

/CRITERIA=CI(.95).

Resources

Processor Time

00:00:00.02

Elapsed Time

00:00:00.02

[DataSet3] E:\Clients\Chesaro\2019\makeupassignment\HeadSize (1).sav

One-Sample Statistics

N

Mean

Std. Deviation

Std. Error Mean

HeadSize

237

3633.9916

365.26142

23.72628

One-Sample Test

Test Value = 3675

t

df

Sig. (2-tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

HeadSize

-1.728

236

.085

-41.00844

-87.7508

5.7339

/* ====================================================

GET

FILE='E:\Clients\Chesaro\2019\makeupassignment\Overeating (1).sav'.

DATASET NAME DataSet4 WINDOW=FRONT.

/* Q3 (b)

DATASET ACTIVATE DataSet4.

T-TEST

/TESTVAL=0

/MISSING=ANALYSIS

/VARIABLES=difference

/CRITERIA=CI(.95).

T-Test

Notes

Output Created

14-MAR-2019 11:04:49

Comments

Input

Data

E:\Clients\Chesaro\2019\makeupassignment\Overeating (1).sav

Active Dataset

DataSet4

Filter

<none>

Weight

<none>

Split File

<none>

N of Rows in Working Data File

16

Missing Value Handling

Definition of Missing

User defined missing values are treated as missing.

Cases Used

Statistics for each analysis are based on the cases with no missing or out-of-range data for any variable in the analysis.

Syntax

T-TEST

/TESTVAL=0

/MISSING=ANALYSIS

/VARIABLES=difference

/CRITERIA=CI(.95).

Resources

Processor Time

00:00:00.02

Elapsed Time

00:00:00.02

[DataSet4] E:\Clients\Chesaro\2019\makeupassignment\Overeating (1).sav

One-Sample Statistics

N

Mean

Std. Deviation

Std. Error Mean

difference

16

10.4088

3.84064

.96016

One-Sample Test

Test Value = 0

t

df

Sig. (2-tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

difference

10.841

15

.000

10.40875

8.3622

12.4553

/* for presenting the means

DATASET ACTIVATE DataSet4.

MEANS TABLES=Weightbefore Weightafter

/CELLS MEAN COUNT STDDEV.

Means

Notes

Output Created

14-MAR-2019 11:04:53

Comments

Input

Data

E:\Clients\Chesaro\2019\makeupassignment\Overeating (1).sav

Active Dataset

DataSet4

Filter

<none>

Weight

<none>

Split File

<none>

N of Rows in Working Data File

16

Missing Value Handling

Definition of Missing

For each dependent variable in a table, user-defined missing values for the dependent and all grouping variables are treated as missing.

Cases Used

Cases used for each table have no missing values in any independent variable, and not all dependent variables have missing values.

Syntax

MEANS TABLES=Weightbefore Weightafter

/CELLS MEAN COUNT STDDEV.

Resources

Processor Time

00:00:00.02

Elapsed Time

00:00:00.03

[DataSet4] E:\Clients\Chesaro\2019\makeupassignment\Overeating (1).sav

Case Processing Summary

Cases

Included

Excluded

Total

N

Percent

N

Percent

N

Percent

Weightbefore

16

100.0%

0

0.0%

16

100.0%

Weightafter

16

100.0%

0

0.0%

16

100.0%

Report

Weightbefore

Weightafter

Mean

144.6362

155.0450

N

16

16

Std. Deviation

22.70488

21.43806

Use difference instead of weight before and after

/* ====================================================.