please help me with this question i need it within hour. Green.kiwifruit Gold.kiwifruit Mean 6.923 6.938 Median 7 6.9 SD 0.538 0.477 Range 2.4 1.9
please help me with this question i need it within hour.
Green.kiwifruit
Gold.kiwifruit
Mean
6.923
6.938
Median
7
6.9
SD
0.538
0.477
Range
2.4
1.9
Q1
6.6
6.7
Q3
7.275
7.4
Sample size
40
40
A random sample of 80 people were selected to taste two types of kiwifruit, the green and gold kiwifruit. 40 were randomly chosen to taste green kiwifruit, while the remaining 40 tasted gold kiwifruit. Each person gave a liking score from 1 (dislike extremely) to 10 (like extremely). Kiwifruit.xIsx contains the summary statistics of the liking scores of these two groups of tasters. Download and use Excel to undertake an appropriate hypothesis test to address the research question. Research Question: On average, is there a significant difference in taste, measured by liking score, between the green and gold kiwifruit?? Figure 1: Green kiwifruit Figure 2: Gold kiwifruit 6 8 10 12 6 8 10 12 Frequency Frequency 4 4 C 6.0 6.5 7.0 7.5 8.0 6.0 6.5 7.0 7.5 8.0 Liking scores Liking scores Figure 3: Green-Gold Figure 4: Liking scores 10 8.0 Frequency Liking scores 6.0 6.5 7.0 7.5 O -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 Green kiwifruit Gold kiwifruit Differences in Liking scoresAnswer the following questions by choosing the most correct option or typing the answer: 1. (1 mark) The most appropriate test for these data is: 2. (1 mark) Which graphical display(s) would be the best to check the normality assumption for this hypothesis? A. Figure 1 B. Figure 2 C. Figure 3 D. Figure 1 & 2 E. Figure 1 & 4 F. Figure 2 & 4 G. Figure 3 & 4 H. No need to check normality assumption 1. All four figures are needed 3. (1 mark) How can you check the assumption of equal variances? A. Comparative boxplots could be used B. Descriptive statistics such as variance, standard deviation and range could be used C. Descriptive statistics such as mean and median could be used D. Both A & B could be used E. Both A & C could be used F. No need to check the assumption of equal variances For the remaining questions you may assume that any relevant assumptions have been met. 4. (1 mark) The value of the standard deviation used in calculating the test statistic is (3dp) 5. (2 marks) The absolute value of the test statistic is equal to (3dp) 6. (1 mark) The degrees of freedom is (Integer) . (1 mark) The p-v r than 0.058. [1 mark} What is the most appropriate conclusion for this test? A. The observed absolute difference 0.015 is statistically significant at the 5% level. B. At the 5% significance level, we do not have enough evidence to reject the null hypothesis, and the liking scores may be the same for both types of kiwifruit. C. At the 5% significance level, we accept the null hypothesis, and the liking scores may be the same for both types of kiwifruit. 9. Calculate a 95% confidence interval to estimate the mean liking scores for people who tasted a green kiwifruit a. [2 marks] The Absolute Value of the Critical Value for this 95% confidence interval is (3dp) b. [2 marks] The range of this 95% confidence interval is [3dp] (Hint: the range is a positive number]
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance