An advertisement for a popular supermarket chain claims that it has had consistently lower prices than four other full-service supermarkets. As part of a survey conducted by an "independent market basket price-checking company," the average weekly total, based on the prices (in $) of approximately 95 items, is given for two different supermarket chains recorded during 4 consecutive weeks in a particular month. Week Advertiser ($) Competitor ($) 254.21 256.06 240.62 255.56 WN 231.90 255.02 234.03 261.10 (a) Is there a significant difference in the average prices for these two different supermarket chains? (Use a = 0.05. Round your answers to three decimal places.) 1-2. Null and alternative hypotheses: O Hoill = 0 versus H: ud 5. Conclusion: O Ho is rejected. There is sufficient evidence to indicate that the means are different. O Ho is rejected. There is insufficient evidence to indicate that the means are different. O Ho is not rejected. There is sufficient evidence to indicate that the means are different. O Ho is not rejected. There is insufficient evidence to indicate that the means are different. (b) What is the approximate p-value for the test conducted in part (a)? O p-value 0.200 (c) Construct a 99% confidence interval for the difference in the average prices for the two supermarket chains. (Round your answers to two decimal places.) $ to $ Interpret this interval. O Since 0 falls in the confidence interval, there is insufficient evidence to indicate that the means are different. O Since 0 does not fall in the confidence interval, there is sufficient evidence to indicate that the means are different. Since 0 does not fall in the confidence interval, there is insufficient ufficient evidence to indicate that the means are different.The earth's temperature (which affects seed germination, crop survival in bad weather, and many other aspects of agricultural production) can be measured using either ground-based sensors or infrared-sensing devices mounted in aircraft or space satellites. Ground-based sensoring is tedious, requiring many replications to obtain an accurate estimate of ground temperature. On the other hand, airplane or satellite sensoring of infrared waves appears to introduce a bias in the temperature readings. To determine the bias, readings were obtained at five different locations using both ground- and air-based temperature sensors. The readings (in degrees Celsius) are listed here. Location Ground Air 46.8 47.1 45.2 48.1 AWN 36.3 37.9 31.1 32.7 5 24.6 26.4 (a) Do the data present sufficient evidence to indicate a bias in the air-based temperature readings? Explain. (Use a = 0.05. Use #ground - (air = ly. Round your answers to three decimal places.) 1-2. Null and alternative hypotheses: O Ho: u 0 O Ho: My = 0 versus Ha : ud = 0 O Ho: My = 0 versus Ha: ud 5. Conclusion: O Ho is not rejected. There is sufficient evidence to indicate a bias in the air-based temperature readings. O Ho is rejected. There is insufficient evidence to indicate a bias in the air-based temperature readings. O Ho is not rejected. There is insufficient evidence to indicate a bias in the air-based temperature readings. O Ho is rejected. There is sufficient evidence to indicate a bias in the air-based temperature readings. (b) Estimate the difference in mean temperatures between ground- and air-based sensors using a 95% confidence interval. (Round your answers to three decimal places.) .C to (c) How many paired observations are required to estimate the difference between mean temperatures for ground- versus air-based sensors correct to within 0.3C, with probability approximately equal to 0.95? (Round your answer up to the nearest whole number.) observationsA psychology class performed an experiment to compare whether a recall score in which instructions to form images of 25 words were given is better than an initial recall score for which no imagery instructions were given. Twenty students participated in the experiment with the following results. With Without With Without Student Imagery Imagery| Student Imagery Imagery 19 6 11 18 8 23 21 16 20 13 20 9 17 10 14 17 12 22 5 15 24 6 6 18 10 16 21 9 19 17 24 21 8 18 10 18 22 13 9 16 19 20 13 10 21 20 12 Does it appear that the average recall score is higher when imagery is used? (Use a = 0.01 and "with imagery - "without imagery = #2.) State the null and alternative hypotheses. O Hould = 0 versus Hai ud # 0 O Hould = 0 versus Ha : ud 0 State the test statistic. (Round your answer to three decimal places.) t = State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.) t> State the conclusion. O Ho is rejected. There is insufficient evidence to indicate that the average recall score is higher when imagery is used. O Ho is not rejected. There is sufficient evidence to indicate that the average recall score is higher when imagery is used. O Ho is not rejected. There is insufficient evidence to indicate that the average recall score is higher when imagery is used. O H is rejected. There is sufficient evidence to indicate that the average recall score is higher when imagery is used