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 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?

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Description: 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 d

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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