Discuss the below:
HYPOTHESIS TESTING (don't forget to state your hypotheses, type of test, alpha level, and your decision statistic; draw a bell curve diagram indicating rejection region)
Q1: Conduct a one-tailed hypothesis test given the information below.
A certain brand of Green Energy light bulbs was advertised as having an average illumination life-span of 2,500 hours. A random sample of 50 bulbs burned out with a mean life-span of 2,470 hours and a sample standard deviation of 140 hours. With a 0.05 level of significance, is the sample mean less than the advertised mean?
Q2: Given the following data from two independent samples, conduct a one-tailed hypothesis test to determine if the first sample mean is larger than the second sample mean, given a 0.05 level of significance.
n1 = 55 n2 = 46
xbar1= 72 xbar2 = 62
s1=15 s2 = 12
Q3. Conduct a one-tailed hypothesis test given the information below.
A test was conducted to determine whether gender of a spokesperson affected the likelihood that consumers would prefer a new vacuum cleaner. A survey of consumers at a trade show employing a female spokesperson determined that 78 out of 200 customers preferred the product, while 56 of 180 customers preferred the product when a male spokesperson was employed. At the 0.05 level of significance, do the samples provide sufficient evidence to indicate that on the average, fewer consumers prefer a new product when the spokesperson is male?
Q4. Conduct a two-tailed hypothesis test given the information below.
Assuming that the population variances are equal for male and female Grade Point Averages (GPAs), use the following sample data to test whether the averages are different at the 0.05 level of significance.
Male GPA's Female GPA's
Sample Size 17 15
Sample Mean 3.8 3.95
Sample Standard Dev .5 .7
Attachment:- Student table.rar