Suppose a prolessol sald hat the population mean should be Test the nypotnesis that Cm, with a sig Determine the null and alternative hypotheses. Choose the correct answer below. O B. Ho: H< 10 Ha : με 10 O E. Ho: H= 10 Ос. Но: и 10 O A. Ho: H# 10 Haiu= 10 Hai u#10 O F. Ho: u> 10 O D. Ho:H= 10 Haiu> 10 Haiu< 10 Hai us 10 The test statistic is (Round to two decimal places as needed.) The p-value is (Round to three decimal places as needed.) Interpret the results of the test. Since the p-value is V the significance level, Ho. There is evidence to conclude that the population mean is different from 10 cm at a significance level of C

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Question

Interpret the 95​% confidence interval IS WHAT ?

A.
If the sample were repeated many​ times, 95​%of all the confidence intervals would contain the true population mean reaction distance.
 
B.
One can say that 95​%of reaction distance values in the population lie within the confidence interval.
 
C.
If the sample were repeated many​ times, 95​%of all the sample mean reaction distances would lie within the confidence interval.
 
D.
The population mean reaction distance will lie within the confidence interval with a 95​%probability.
The accompanying data table shows reaction distances in centimeters for the dominant hand for a random sample of 40 independently chosen college students. Smaller distances indicate quicker reactions. Complete parts (a) through (c) below.
Click the icon to view the data table.
Make a graph of the distribution. For values on the boundary of two bins, place that value into the bin on the left. Choose the correct graph below.
O A.
В.
С.
D.
18-
18-
183
12-
12-
12-
12-
04
6 12 18 24
Distance (cm)
6.
12 18 24
Distance (cm)
6 12 18 24
Distance (cm)
6 12 18 24
Distance (cm)
The distribution is slightly skewed to the right.
b. Find, report, and interpret a 95% confidence interval for the population mear
Reaction distances (in centimeters)
The 95% confidence interval is 7.94 cm to 10.91 cm.
(Round to two decimal places as needed. Use ascending order.)
Interpret the 95% confidence interval.
8.5
8.5
8.
7
O A. If the sample were repeated many times, 95% of all the confidence inte
8
14
4.5
18.5
5.5
O B. One can say that 95% of reaction distance values in the population lie
12
10
20
18.5
6.5
O C. If the sample were repeated many times, 95% of all the sample mean r
8.5
4.5
1.5
8.5
6.5
D. The population mean reaction distance will lie within the confidence int
2.5
2.5
0.5
5.5
15.5
10
11.5
12
7.5
c. Suppose a professor said that the population mean should be 10 centimeter
14.5
13
8.5
12.5
13
ignificance level of 0.05.
11.5
9.5
10.5
11.5
14
More
Click to select your answer(s).
Print
Done
Frequency
Frequency
Frequency
Frequency
Transcribed Image Text:The accompanying data table shows reaction distances in centimeters for the dominant hand for a random sample of 40 independently chosen college students. Smaller distances indicate quicker reactions. Complete parts (a) through (c) below. Click the icon to view the data table. Make a graph of the distribution. For values on the boundary of two bins, place that value into the bin on the left. Choose the correct graph below. O A. В. С. D. 18- 18- 183 12- 12- 12- 12- 04 6 12 18 24 Distance (cm) 6. 12 18 24 Distance (cm) 6 12 18 24 Distance (cm) 6 12 18 24 Distance (cm) The distribution is slightly skewed to the right. b. Find, report, and interpret a 95% confidence interval for the population mear Reaction distances (in centimeters) The 95% confidence interval is 7.94 cm to 10.91 cm. (Round to two decimal places as needed. Use ascending order.) Interpret the 95% confidence interval. 8.5 8.5 8. 7 O A. If the sample were repeated many times, 95% of all the confidence inte 8 14 4.5 18.5 5.5 O B. One can say that 95% of reaction distance values in the population lie 12 10 20 18.5 6.5 O C. If the sample were repeated many times, 95% of all the sample mean r 8.5 4.5 1.5 8.5 6.5 D. The population mean reaction distance will lie within the confidence int 2.5 2.5 0.5 5.5 15.5 10 11.5 12 7.5 c. Suppose a professor said that the population mean should be 10 centimeter 14.5 13 8.5 12.5 13 ignificance level of 0.05. 11.5 9.5 10.5 11.5 14 More Click to select your answer(s). Print Done Frequency Frequency Frequency Frequency
a
sald thal the
SIs that the
mean IS TIOL
Determine the null and alternative hypotheses. Choose the correct answer below.
C. Ho: µ = 10
Ha: µ# 10
А. Но: н#10
B. H0: μ< 10
Ha: µ2 10
HaiH = 10
E. H : μ= 10
Ha: µ< 10
F. Но: > 10
Ha: us 10
D. Ho: µ= 10
Ha: µ> 10
The test statistic is.
(Round to two decimal places as needed.)
The p-value is:
(Round to three decimal places as needed.)
Interpret the results of the test.
Since the p-value is
the significance level,
Ho. There is
evidence to conclude that the population mean is different from 10 cm at a significance level of 0.05.
Click to select your answer(s).
Transcribed Image Text:a sald thal the SIs that the mean IS TIOL Determine the null and alternative hypotheses. Choose the correct answer below. C. Ho: µ = 10 Ha: µ# 10 А. Но: н#10 B. H0: μ< 10 Ha: µ2 10 HaiH = 10 E. H : μ= 10 Ha: µ< 10 F. Но: > 10 Ha: us 10 D. Ho: µ= 10 Ha: µ> 10 The test statistic is. (Round to two decimal places as needed.) The p-value is: (Round to three decimal places as needed.) Interpret the results of the test. Since the p-value is the significance level, Ho. There is evidence to conclude that the population mean is different from 10 cm at a significance level of 0.05. Click to select your answer(s).
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