Question

. If the test was for a total of 360 marks in Zedland high then what is the sum of marks obtained by all 5 students? * 1296 1297 1298 NONE OF THESE​

Answer 1

Answer:

4.79 Divorce Opinions and Gender In Data 4.4 on page 227, we introduce the results of a

May 2010 Gallup poll of 1029 US adults. When asked if they view divorce as “morally acceptable”,

71% of the men and 67% of the women in the sample responded yes. In the test for a difference in

proportions, a randomization distribution gives a p-value of 0.165. Does this indicate a significant

difference between men and women in how they view divorce?

Solution

If we use a 5% significance level, the p-value of 0.165 is not less than α = 0.05 so we would not

reject H0 : pf = pm. This means the data do not show significant evidence of a difference in the

proportions of men and women that view divorce as “morally acceptable”.

4.82 Sleep or Caffeine for Memory? The consumption of caffeine to benefit alternateness

is a common activity practiced by 90% of adults in North America. Often caffeine is used in order

to replace the need for sleep. One recent study compares students’ ability to recall memorized

information after either the consumption of caffeine or a brief sleep. A random sample of 35 adults

(between the ages of 18 and 39) were randomly divided into three groups and verbally given a list

of 24 words to memorize. During a break, one of the groups takes a nap for an hour and a half,

another group is kept awake and then given a caffeine pill an hour prior to testing, and the third

group is given a placebo. The response variable of interest is the number of words participants are

able to recall following the break. The summary statistics for the three groups are shown below

in the table. We are interested in testing whether there is evidence of difference in average recall

ability between any two of the treatments. Thus we have three possible tests between different

pairs of groups: Sleep vs Caffeine, Sleep vs Placebo, and Caffeine vs Placebo.

Group Sample Size Mean Standard Deviation

Sleep 12 15.25 3.3

Caffeine 12 12.25 3.5

Placebo 11 13.70 3.0

(a) In the test comparing the sleep group to the caffeine group, the p-value is 0.003. What is

the conclusion of the test? In the sample, which group had better recall ability? According to

the rest results, do you think sleep is really better than caffeine for recall ability?

(b) In the test comparing the sleep group to the placebo group, the p-value is 0.06. What is the

conclusion of the test using a 5% significance level? Using a 10% significance level? How strong

is the evidence of a difference in mean recall ability between these two treatments?

(c) In the test comparing the caffeine group to the placebo group, the p-value is 0.22. What is

the conclusion of the test? In the sample, which group had better recall ability? According to

the test results, would we be justified in concluding that caffeine impairs recall ability?

(d) According to this study, what should you do before an exam that asks you to recall

information?

Solution

(a) The p-value (0.003) is small so the decision is to reject H0 and conclude that the mean recall

for sleep (¯xs = 15.25) is different from the mean recall for caffeine (¯xc = 12.25). Since the mean

for the sleep group is higher than the mean for the caffeine group, we have sufficient evidence to

Step-by-step explanation:

Answer 2

Answer:

The sum of marks obtained by all 5 students is 1296.

Step-by-step explanation:

Given total marks $= 360$

Here we have total 5 students and percentage of marks of all of them.

We know,

a% of b

$= \frac{a}{100} \times b \\ = \frac{ab}{100}$

Here,Mohit got 50% of total marks.

So, Mohit got

$= 50\% \: of \: 360 \\ = \frac{50}{100} \times 360 \\ = \frac{1}{2} \times 360 \\ = 180$

Prateek got 80% of total marks.

So,Prateek got

$= 80\% \: of \: 360 \\ = \frac{80}{100} \times 360 \\ = 8 \times 36 \\ = 288$

Sachin got 70% of total marks.

So,Sachin got

$= 70\% \: of \: 360 \\ = \frac{70}{100} \times 360 \\ = 7 \times 36 \\ = 252$

Tarun got 100% of total marks.

So, Tarun got

$= 100\% \: of \: 360 \\ = \frac{100}{100} \times 360 \\ = 360$

And Rohit got 100% of total marks.

So, Rohit got

$= 60\% \: of \: 360 \\ = \frac{60}{100} \times 360 \\ = 6 \times 36 \\ = 216$

Total marks obtained by all 5 students

$= (180 + 288 + 252 + 360 + 216) \\ = 1296$

This is a problem of percentage.

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