Statistics and Probability Answers

Determine the given and compute the appropriate test statistic of the problem below.

Construct the rejection region of the problem below

A rural health unit conducted a survey on the heights of the male aged 18 to 24 years old. It was found out that the mean height of male aged 18 to 24 years old was 70 inches. Test the hypothesis that the mean height of the male aged 18 to 24 years old is not 70 inches if a random sample of 20 male aged 18 to 24 years old had a mean height of 65 inches with a standard deviation of 3. Use 1% level of significance.

Determine the given and compute the appropriate test statistic of the problem below.

Construct the rejection region of the problem below

A teacher conducted a study to know if blended learning affects the students’ performances. A class of 30 students of Grade 11 was surveyed and found out that their mean score was 83 with a standard deviation of 4. A study from other country revealed that with a standard deviation of 3. Test the hypothesis at 0.10 level of significance.

Determine the given and compute the appropriate test statistic of the problem below. Construct the rejection region of the problem below

A manufacturer of face mask has developed a new face mask design. He claims that the new design has an average profit increase of 10% with a standard deviation of 3%. Test the hypothesis that the new face mask design average profit increase of is not 10% if a random sample of 50 face mask is tested with an average profit increase of 4%. Use 10% level of significance.

A rural health unit conducted a survey on the heights of the male aged 18 to 24 years old. It was found out that the mean height of male aged 18 to 24 years old was 70 inches. Test the hypothesis that the mean height of the male aged 18 to 24 years old is not 70 inches if a random sample of 20 male aged 18 to 24 years old had a mean height of 65 inches with a standard deviation of 3. Use 1% level of significance.

Parameter: _______________________________________

Statistic: ________________________________

Null Hypothesis: ____________________________________________________

Alternative hypothesis: _____________________________________________

A teacher conducted a study to know if blended learning affects the students’ performances. A class of 30 students of Grade 11 was surveyed and found out that their mean score was 83 with a standard deviation of 4. A study from other country revealed that with a standard deviation of 3. Test the hypothesis at 0.10 level of significance.

Parameter: _______________________________________

Statistic: ________________________________

Null Hypothesis: ____________________________________________________

Alternative hypothesis: _____________________________________________

In a study of television viewing, the mean number of television program they watched during daytime was 7. A survey was conducted on the random sample of 25 households and found that the mean number of television program they watched during daytime was 5 with a standard deviation of 1.5. Test the hypothesis at 10% level of significance.

Parameter: _______________________________________

Statistic: ________________________________

Null Hypothesis: ____________________________________________________

Alternative hypothesis: _____________________________________________

the probabilities a team wins draws or loses any particular game at 0.6, 0.1, 0.3 respectively. find the probability that the teams wins at least one of its next two games

. A new machine is being considered to replace the

old machine being used. This new machine was

tested for 10 consecutive hours with the following

output: 119, 122, 118, 122, 120, 124, 126, 125, 125,

and 124. If the average output per hour using the old

machine is 120 units, is the management justified in

stating that the output per hour can be increased with

the new machine? Use a 0.01 level of significance.

1. A manufacturer of juices claims that all labeled 1.5 liter bottles contains an average of 1.49 liters of soft drinks. A retailer wishes to test whether the mean amount of juice in a labeled 1.5-liter bottle is not more than 1.49 liters. With 0.05 level of significance.