1. An educational psychologist at a large university wants to estimate the mean IQ of the students in tertiary institutes in UK. A random sample of 15 students (in universities in UK) gives the following data on IQs. From further investigation, the data are normally distributed. 113 120 103 118 104 98 110 126 88 110 126 112 120 101 115 a. At the 5% significance level, do the data provide sufficient evidence to conclude that the IQ of tertiary students in UK is higher than the common UK adults? b. Obtain the 95% confidence interval for the mean IQ of tertiary students in UK.(Given that IQs of UK adults are normally distributed with µ = 100 and = 16.) 2. In US, the mean weekly earning of male works was $1005 last year. A random sample of 50 female workers, their weekly earnings also last year in dollars are provided in the following table. 560 360 688 1301 49 582 751 4131 3211 646 1312 1931 764 297 232 699 88 364 1111 427 1235 494 3430 298 245 448 785 1931 994 152 875 920 826 756 440 448 295 646 896 353 619 887 1079 59 219 1019 1001 411 1217 562 At the 5% significance level, do the data provide sufficient evidence to conclude that last year the mean weekly earnings of female workers are less than the mean weekly earnings of male workers? 3. The respiratory disturbance index (RDI), which is the number of apneic and hypopneic episodes per hour of sleep, was used as a measure of severity of sleep apnea. An RDI of 5 or more indicates sleep-related breathing disturbances. The RDIs for the females and males samples in a study in US are as follows. Female 0.1 0.5 0.3 2.3 2.0 1.4 0.0 Male 2.6 19.3 1.4 1.0 0.0 39.2 4.1 0.0 2.1 1.1 5.6 5.0 7.0 2.3 4.3 7.5 16.5 7.8 3.3 8.9 7.3 At the 1% significance level, do the data provide sufficient evidence to conclude that the female patients are less suffer than male from the apnea disease?
1. An educational psychologist at a large university wants to estimate the mean IQ of the students in tertiary institutes in UK. A random sample of 15 students (in universities in UK) gives the following data on IQs. From further investigation, the data are
|
113 |
120 |
103 |
118 |
104 |
98 |
110 |
126 |
|
88 |
110 |
126 |
112 |
120 |
101 |
115 |
|
a. At the 5% significance level, do the data provide sufficient evidence to conclude that the IQ of tertiary students in UK is higher than the common UK adults? b. Obtain the 95% confidence interval for the mean IQ of tertiary students in UK.(Given that IQs of UK adults are normally distributed with µ = 100 and = 16.)
2. In US, the mean weekly earning of male works was $1005 last year. A random sample of 50 female workers, their weekly earnings also last year in dollars are provided in the following table.
|
560 |
360 |
688 |
1301 |
49 |
582 |
751 |
4131 |
3211 |
646 |
|
1312 |
1931 |
764 |
297 |
232 |
699 |
88 |
364 |
1111 |
427 |
|
1235 |
494 |
3430 |
298 |
245 |
448 |
785 |
1931 |
994 |
152 |
|
875 |
920 |
826 |
756 |
440 |
448 |
295 |
646 |
896 |
353 |
|
619 |
887 |
1079 |
59 |
219 |
1019 |
1001 |
411 |
1217 |
562 |
At the 5% significance level, do the data provide sufficient evidence to conclude that last year the mean weekly earnings of female workers are less than the mean weekly earnings of male workers?
3. The respiratory disturbance index (RDI), which is the number of apneic and hypopneic episodes per hour of sleep, was used as a measure of severity of sleep apnea. An RDI of 5 or more indicates sleep-related breathing disturbances. The RDIs for the females and males samples in a study in US are as follows.
Female
|
0.1 |
0.5 |
0.3 |
2.3 |
|
2.0 |
1.4 |
0.0 |
|
|
|
|
|
|
Male
|
2.6 |
19.3 |
1.4 |
1.0 |
0.0 |
39.2 |
4.1 |
|
0.0 |
2.1 |
1.1 |
5.6 |
5.0 |
7.0 |
2.3 |
|
4.3 |
7.5 |
16.5 |
7.8 |
3.3 |
8.9 |
7.3 |
At the 1% significance level, do the data provide sufficient evidence to conclude that the female patients are less suffer than male from the apnea disease?
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