Question

Listed below are ages of actresses and actors at the time that they won an award...

Listed below are ages of actresses and actors at the time that they won an award for the categories of Best Actress and Best Actor. Use the sample data to test for a difference between the ages of actresses and actors when they win the award. Use a 0.05 significance level. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. ?Actress's age 20 26 20 49 26 ?Actor's age 43 42 63 52 42 In this? example, mu Subscript d is the mean value of the differences d for the population of all pairs of? data, where each individual difference d is defined as the? actress's age minus the? actor's age. What are the null and alternative hypotheses for the hypothesis? test? A. Upper H 0?: mu Subscript dnot equals0 Upper H 1?: mu Subscript dgreater than0 B. Upper H 0?: mu Subscript dnot equals0 Upper H 1?: mu Subscript dequals0 C. Upper H 0?: mu Subscript dequals0 Upper H 1?: mu Subscript dless than0 D. Upper H 0?: mu Subscript dequals0 Upper H 1?: mu Subscript dnot equals0 Identify the test statistic. tequals nothing ?(Round to two decimal places as? needed.) Identify the? P-value. ?P-valueequals nothing ?(Round to three decimal places as? needed.) What is the conclusion based on the hypothesis? test? Since the? P-value is ? less greater than the significance? level, ? reject fail to reject the null hypothesis. There ? is not is sufficient evidence to support the claim that there is a difference between the ages of actresses and actors when they win the award.

Homework Answers

Answer #1

data

actress actor
20 43
26 42
20 63
49 52
26 42

excel result

t-Test: Paired Two Sample for Means
actress actor
Mean 28.2 48.4
Variance 144.2 84.3
Observations 5 5
Pearson Correlation 0.062582466
Hypothesized Mean Difference 0
df 4
t Stat -3.082622538
P(T<=t) one-tail 0.018418754
t Critical one-tail 2.131846786
P(T<=t) two-tail 0.036837508
t Critical two-tail 2.776445105

since p-value = 0.0368 < 0.05

we reject the null hypothesis

we conclude that there is sufficient evidence that there is a difference between the ages of actresses and actors when they win the award.

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
Listed below are ages of actresses and actors at the time that they won an award...
Listed below are ages of actresses and actors at the time that they won an award for the categories of Best Actress and Best Actor. Use the sample data to test for a difference between the ages of actresses and actors when they win the award. Use a 0.10 significance level. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Actress's Age 17 25 28 57 27...
Listed below are ages of actresses and actors at the time that they won an award...
Listed below are ages of actresses and actors at the time that they won an award for the categories of Best Actress and Best Actor. Use the sample data to test for a difference between the ages of actresses and actors when they win the award. Use a 0.01 significance level. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. ​Actress's age 13 33 20 60 30...
3. Listed below are ages of actresses and actors at the time that they won an...
3. Listed below are ages of actresses and actors at the time that they won an award for the categories of Best Actress and Best Actor. Use the sample data to test for a difference between the ages of actresses and actors when they win the award. Use a 0.05 significance level. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Actress_age       Actor_age 16           47 32           46...
The following data lists the ages of a random selection of actresses when they won an...
The following data lists the ages of a random selection of actresses when they won an award in the category of Best​ Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts​ (a) and​ (b) below. Actress left parenthesis years right parenthesis 29 31 32 31 33 26 24 44 31 35 Actor left parenthesis years right parenthesis 62...
The following data lists the ages of a random selection of actresses when they won an...
The following data lists the ages of a random selection of actresses when they won an award in the category of Best​ Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts​ (a) and​ (b) below. Actress left parenthesis years right parenthesisActress (years) 31 31 31 27 39 24 25 42 27 35 Actor left parenthesis years right parenthesisActor...
The following data lists the ages of a random selection of actresses when they won an...
The following data lists the ages of a random selection of actresses when they won an award in the category of Best​ Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts​ (a) and​ (b) below. Use the sample data with a 0.050.05 significance level to test the claim that for the population of ages of Best Actresses and...
A food manufacturer claims that eating its new cereal as part of a daily diet lowers...
A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels​ (in milligrams per deciliter of​ blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and​ dependent, and the population is normally distributed. At alphaequals0.05​, can you conclude that...
The following data lists the ages of a random selection of actresses when they won an...
The following data lists the ages of a random selection of actresses when they won an award in the category of Best? Actress, along with the ages of actors when they won in the category of Best Actor. The ages are matched according to the year that the awards were presented. Complete parts? (a) and? (b) below. Actress(years) 31 31 31 32 36 28 29 40 31 35 Actor (years) 60 34 38 40 29 35 51 35 38 40...
In an​ experiment, 18 babies were asked to watch a climber attempt to ascend a hill....
In an​ experiment, 18 babies were asked to watch a climber attempt to ascend a hill. On two​ occasions, the baby witnesses the climber fail to make the climb.​ Then, the baby witnesses either a helper toy push the climber up the​ hill, or a hinderer toy preventing the climber from making the ascent. The toys were shown to each baby in a random fashion. A second part of this experiment showed the climber approach the helper​ toy, which is...
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,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT