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PYC3714-26-EX06
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A researcher wants to investigate whether gender is related to preferred study method among university students. She surveys students to ask them whether they prefer individual study or group study. The following expected frequency table was derived
Row
|
Column
|
Observed frequencies (O)
|
Expected frequencies (E)
|
(O-E)
|
(O-E)2
|
(O-E)2 / E
|
1
|
1
|
5
|
4
|
1
|
1
|
0.25
|
2
|
2
|
6
|
5
|
1
|
1
|
0.2
|
1
|
3
|
6
|
8
|
-2
|
4
|
0.5
|
2
|
1
|
7
|
4
|
3
|
9
|
2.25
|
1
|
2
|
4
|
2
|
2
|
4
|
2
|
2
|
3
|
3
|
6
|
-3
|
9
|
1.5
|
|
|
|
|
|
|
X2 p
|
What will be your chi-square statistics (X2p)?
Study the following normal distribution of values with a mean of 150 and a standard deviation of 5.
What is the proportion of values that fall in the area under the curve that is left of the mean?
A university administrator believes that the average amount of sleep obtained by students is less than the recommended 7 hours per night. Previous large‑scale research has established that the population standard deviation is σ = 1.2 hours. To investigate this claim, the administrator randomly selects 36 students and records their average sleep duration per night. The sample has: Sample mean: xˉ=6.6, Population standard deviation: σ=1.2 Sample size: n=36. The administrator conducts a hypothesis test at a significance level of α = 0.05. Determine the p-value, p = ….
A university administrator believes that the average amount of sleep obtained by students is less than the recommended 7 hours per night. Previous large scale research has established that the population standard deviation is σ = 1.2 hours. To investigate this claim, the administrator randomly selects 36 students and records their average sleep duration per night. The sample has: Sample mean: xˉ=6.6, Population standard deviation: σ=1.2 Sample size: n=36. The administrator conducts a hypothesis test at a significance level of α = 0.05. What can you conclude about the calculated p
A university administrator believes that the average amount of sleep obtained by students is less than the recommended 7 hours per night. Previous large scale research has established that the population standard deviation is σ = 1.2 hours. To investigate this claim, the administrator randomly selects 36 students and records their average sleep duration per night. The sample has: Sample mean: xˉ=6.6, Population standard deviation: σ=1.2 Sample size: n=36. The administrator conducts a hypothesis test at a significance level of α = 0.05. Which statistical test is most appropriate for analysing this data?