1. T-test for a single sample You administer a survey of happiness to a sample of N = 4 students taking PSY-3205. The survey measures happiness on a 7-point Likert scale, with 4 being the happiness scale neutral mid-point (neither happy nor unhappy), 1 being very unhappy and 7 being very happy. You want to determine if the mean score measured from your population differs significantly from the neutral mid-point of 4.

Student ;Happiness Score
1 ; 2
2 ; 1
3 ; 2
4 ; 3

a) State the null hypothesis (H0) and the research hypothesis (H1)

b) Compute the sample mean M

c) Compute the degrees of freedom (df)

d) Fill out the following table and then estimate the population standard deviation (s)

X M X-M (X-M)2

2
1
2
3

SS:

Remember, s2 = SS/df

e) Write the expression for your T-statistic, and plug in the numbers to compute the t-score

f) Using your T-score table, for a 2-tailed test is your observation significant at the level of p<0.05? How about p < 0.01?

g) Compute Cohen’s d

h) What is the 95% confidence interval for the true population mean?

Solve the formula ax+ by = c for x.

Listed below are time intervals (min) between eruptions of a geyser. assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. do not assume that the population standard deviations are equal. does it appear that the mean time interval has changed? is the conclusion affected by whether the significance level is 0.10 or 0.01? recent 78 90 90 79 57 101 62 87 71 87 81 84 57 80 74 103 62 past 88 89 93 94 65 85 85 92 87 91 89 91 follow the steps of hypothesis testing, including identifying the alternative and null hypothesis, calculating the test statistic, finding the p-value, and making a conclusions about the null hypothesis and a final conclusion that addresses the original claim. use a significance level of 0.10. is the conclusion affected by whether the significance level is 0.10 or 0.01? answer choices below: a) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10. b) no, the conclusion is not affected by the significance level because h0 is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. c) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01. d) no, the conclusion is not affected by the significance level because h0 is rejected regardless of whether a significance level of 0.10 or 0.01 is used.

Joey is asked to name a quadrilateral that is also a rhombus and has 2 pairs of parallel sides.should be his answer