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Calculate the ΔH of the following problems.
1. How many joules are required to raise the temperature of 450 mL of water from 30°C to 100°C?
2. The specific heat of copper metal is 0.385 J/g-°K. How many kJ of heat are needed to raise the temperature of 1.1 kg block of copper from 27.5°C to 50°C?
Determine the given and compute the test statistic of the problem below using Central Limit Theorem, and construct the rejection region for each.
A certain group of welfare recipients receives relief goods with a mean amount of Php 500 per week. A random sample of 75 recipients is surveyed and found that the mean amount of relief goods they received in a week is Php 600 and a standard deviation of Php50.00 . Test the claim at 1% level of significance is not Php 500 per week and assume that the population is approximately normally distributed.
Determine the given, formulate the null and alternative hypothesis in words and in
symbols, and the appropriate test statistic.
A company produced ethyl alcohol and claimed to have a mean alcohol content of 70%. A random sample of 80 of ethyl alcohol was take as sample to verify this claim. It was found out that the mean alcohol content is 65% with a standard deviation of 2%. Test the claim at 5% level of significance and assume that the population is normally distributed.
Determine the given, formulate the null and alternative hypothesis in words and in
symbols, and the appropriate test statistic.
A seller claimed that her lip tint has a mean organic content of 90%. A rival seller asked 60 users of that lip tint and found that it has a mean organic content of 85% with a standard deviation of 5%. Test the claim at 1% level of significance and assume that the population is approximately normally distributed.
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: _____________________________________________
