Question

In: Statistics and Probability

The population mean number of hours a group watched TV was 10.5 with a standard deviation...

The population mean number of hours a group watched TV was 10.5 with a standard deviation of 3.6. A random sample of 36 individuals from the group was selected and the number of hours each watched TV was obtained. Consider the statistic the sample mean number of hours the studied group of 36 watched TV.

Question 6 options:

12345678

Consider the statistic the sample mean number of hours the studied group of 36 watched TV. What is the mean of the distribution of the sample mean?

12345678

What is the probability that the sample mean of the studied group is LESS THAN 9.7 hours?

12345678

Consider the statistic the sample mean number of hours the studied group of 36 watched TV. What is the standard deviation of the sample mean of the group?
1.

Note: Below choices may NOT all be used as matches.
2.

3.6
3.

0.60
4.

2.63
5.

0.09
6.

0.14
7.

10.5
8.

No answer is correct.

Solutions

Expert Solution

Solution :

(a)

The mean of the distribution of the sample mean is,

= 10.5

(b)

= / n = 3.6 / 36 = 0.6

P( 9.7) = P(( - ) / (9.7 - 10.5) / 0.6)

= P(z -1.33)  

= 0.09

(c)

The standard deviation of the sample mean of the group is,

= / n = 3.6 / 36 = 0.60

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Below is the the number of hours of TV watched by boys and girls per week....
Below is the the number of hours of TV watched by boys and girls per week. Using the data on the number of hours of TV viewing, test the hypothesis that the number of hours of TV watched by girls is less than 7.4 hours per week at a 2% significance level. State the null hypothesis, H0 and the alternative hypothesis, H1 Observation Number of hours of TV viewed by Boy Number of hours of TV viewed by Girl 1...
Below is the the number of hours of TV watched by boys and girls per week....
Below is the the number of hours of TV watched by boys and girls per week. Using the data on the number of hours of TV viewing, test the hypothesis that the number of hours of TV watched by girls is less than 7.4 hours per week at a 2% significance level. Determine the critical values that divide the rejection and nonrejection regions Observation Number of hours of TV viewed by Boy Number of hours of TV viewed by Girl...
Item Sample Mean 1 Population standard deviation of 1 n1 Sample Mean 2 Population Standard Deviation...
Item Sample Mean 1 Population standard deviation of 1 n1 Sample Mean 2 Population Standard Deviation 2 n2 7 18 6 169 12 12 121 0.01 Perform a Two-tailed hypothesis test for two population means.
Hypothesis Test - Made up problem: The population mean for hours of Netflix watched by individuals...
Hypothesis Test - Made up problem: The population mean for hours of Netflix watched by individuals each week is less than 3. We spoke with seven random individuals and asked how many hours per week they watch Netflix. The results were 4, 0, 6, 2, 3, 3, and 6 hours in the last week. Test this hypothesis with a significance level of .05.
1. A nutritionist is looking at the connection between hours of TV watched and choice of...
1. A nutritionist is looking at the connection between hours of TV watched and choice of sugary snacks in children identified as at risk for obesity. He asks children to document the number of hours of TV they watch and the number of sugary snacks they eat each day as shown in the first three columns of the following table. Child Hours of TV watched (X) Number of sugary snacks eaten (Y) A 3 3 B 1 3 C 2...
Mean number of desks produced per week is 42 and population standard deviation is 4.67. the...
Mean number of desks produced per week is 42 and population standard deviation is 4.67. the company has introduced new production methods. A random sample of 12 weeks production indicates 44 desks were produced each week. has the introduction of new production methods increased average number of desks produced each week at .05 significance level. Estimate the 95% confidence interval
Suppose the mean and the standard deviation of a distribution are as follows: population mean and...
Suppose the mean and the standard deviation of a distribution are as follows: population mean and standards deviation are 60 and 5, respectively. At least what proportion of the observations lie between 45 and 75?
A researcher collected data on the hours of TV watched per day from a sample of...
A researcher collected data on the hours of TV watched per day from a sample of five people of different ages. Here are the results: i Age TV Hrs 1 43 1 2 30 6 3 22 4 4 20 3 5 5 6 Create an ANOVA table. Using α = .05use the results in the table to give a conclusion about whether or not there is a statistically significant linear relationship between the two variables. Your score will be...
The mean of a population is 75 and the standard deviation is 13. The shape of...
The mean of a population is 75 and the standard deviation is 13. The shape of the population is unknown. Determine the probability of each of the following occurring from this population. a. A random sample of size 32 yielding a sample mean of 76 or more b. A random sample of size 160 yielding a sample mean of between 74 and 76 c. A random sample of size 218 yielding a sample mean of less than 75.2 (Round all...
a. A population is normally distributed with a mean of 16.4 and a standard deviation of...
a. A population is normally distributed with a mean of 16.4 and a standard deviation of 1.4. A sample of size 36 is taken from the population. What is the the standard deviation of the sampling distribution? Round to the nearest thousandth. b. A population is normally distributed with a mean of 15.7 and a standard deviation of 1.4. A sample of size 24 is taken from the population. What is the the standard deviation of the sampling distribution? Round...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT